Циркулярные кривые 2-го порядка.nb

(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 11.3' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[    218912,       4695]
NotebookOptionsPosition[    209601,       4531]
NotebookOutlinePosition[    209997,       4548]
CellTagsIndexPosition[    209954,       4545]
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{

Cell[CellGroupData[{
Cell["\:0426\:0438\:0440\:043a\:0443\:043b\:044f\:0440\:043d\:044b\:0435 \
\:043a\:0440\:0438\:0432\:044b\:0435 2-\:0433\:043e \:043f\:043e\:0440\:044f\
\:0434\:043a\:0430", "Title",
 CellChangeTimes->{
  3.8075725338185887`*^9, {3.8075762056837397`*^9, 3.807576210988254*^9}, {
   3.8075810874965353`*^9, 3.807581094673337*^9}, 
   3.80784952157047*^9},ExpressionUUID->"9b9ca6f9-e2c2-4f5e-bc95-\
710aa6ab14e3"],

Cell["\<\
\:041a\:0430\:043a \:0438\:0437\:0432\:0435\:0441\:0442\:043d\:043e \
[https://en.wikipedia.org/wiki/B%C3%A9zier_curve#Properties], \:043a\:0440\
\:0438\:0432\:044b\:043c\:0438 \:0411\:0435\:0437\:044c\:0435 \:043d\:0435\
\:043b\:044c\:0437\:044f \:043f\:043e\:0441\:0442\:0440\:043e\:0438\:0442\
\:044c \:0434\:0443\:0433\:0443 \:043e\:043a\:0440\:0443\:0436\:043d\:043e\
\:0441\:0442\:0438 \:0438\:043b\:0438 \:044d\:043b\:043b\:0438\:043f\:0441\
\:0430. \:0412 \:044d\:0442\:043e\:0439 \:0441\:0442\:0430\:0442\:044c\:0435 \
\:0440\:0430\:0441\:0441\:043c\:0430\:0442\:0440\:0438\:0432\:0430\:044e\:0442\
\:0441\:044f \:043a\:0440\:0438\:0432\:044b\:0435, \:043b\:0438\:0448\:0451\
\:043d\:043d\:044b\:0435 \:0442\:0430\:043a\:043e\:0433\:043e \:043d\:0435\
\:0434\:043e\:0441\:0442\:0430\:0442\:043a\:0430.\
\>", "Text",
 CellChangeTimes->{
  3.8075725150388837`*^9, {3.807572571425458*^9, 3.8075725730097127`*^9}, {
   3.8075811070725355`*^9, 3.807581107172583*^9}, {3.8075967281837263`*^9, 
   3.807596730104725*^9}, 3.807601689832465*^9, {3.807849531480242*^9, 
   3.807849533247985*^9}},ExpressionUUID->"329244bb-5114-496b-8c5f-\
b2f681fb045b"],

Cell[CellGroupData[{

Cell["\:041a\:0440\:0438\:0432\:044b\:0435 \:0411\:0435\:0437\:044c\:0435", \
"Section",
 CellChangeTimes->{{3.807572624771587*^9, 
  3.807572631597833*^9}},ExpressionUUID->"f01d02a1-bd46-4c1e-a6f4-\
dfc5b5afad36"],

Cell["\<\
\:041b\:043e\:0433\:0438\:043a\:0430 \:043f\:043e\:0441\:0442\:0440\:043e\
\:0435\:043d\:0438\:044f \:043a\:0440\:0438\:0432\:044b\:0445 \:0411\:0435\
\:0437\:044c\:0435 \:0445\:043e\:0440\:043e\:0448\:043e \:043f\:043e\:043d\
\:044f\:0442\:043d\:0430 \:0438\:0437 \:0441\:043b\:0435\:0434\:0443\:044e\
\:0449\:0435\:0439 \:0430\:043d\:0438\:043c\:0430\:0446\:0438\:0438:\
\>", "Text",
 CellChangeTimes->{{3.807572699841277*^9, 
  3.8075727315783234`*^9}},ExpressionUUID->"71c577e9-627d-4566-8f24-\
761763f2ac45"],

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"mix", "[", 
    RowBox[{"a_", ",", "b_", ",", "t_"}], "]"}], ":=", 
   RowBox[{
    RowBox[{"a", 
     RowBox[{"(", 
      RowBox[{"1", "-", "t"}], ")"}]}], "+", 
    RowBox[{"b", " ", "t"}]}]}], ";"}]], "Input",
 CellOpen->False,
 CellChangeTimes->{{3.8074866981306715`*^9, 3.807486722055704*^9}, {
  3.8074870269836564`*^9, 3.8074870286177025`*^9}, {3.8075742135516915`*^9, 
  3.807574218871505*^9}},
 Background->RGBColor[0.88, 1, 0.88],
 CellLabel->"In[1]:=",ExpressionUUID->"912540db-0361-449a-9830-ad6262ec6773"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Module", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
     RowBox[{"a", "=", "0"}], ",", "\[IndentingNewLine]", 
     RowBox[{"c", "=", 
      RowBox[{"3", "+", 
       RowBox[{"13", "I"}]}]}], ",", "\[IndentingNewLine]", 
     RowBox[{"b", "=", 
      RowBox[{"13", "+", 
       RowBox[{"3", "I"}]}]}], ",", "\[IndentingNewLine]", "ac", ",", "cb", 
     ",", "d"}], "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"Animate", "[", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{
      RowBox[{"ac", "=", 
       RowBox[{"mix", "[", 
        RowBox[{"a", ",", "c", ",", "tt"}], "]"}]}], ";", 
      "\[IndentingNewLine]", 
      RowBox[{"cb", "=", 
       RowBox[{"mix", "[", 
        RowBox[{"c", ",", "b", ",", "tt"}], "]"}]}], ";", 
      "\[IndentingNewLine]", 
      RowBox[{"d", "=", 
       RowBox[{"mix", "[", 
        RowBox[{"ac", ",", "cb", ",", "tt"}], "]"}]}], ";", 
      "\[IndentingNewLine]", 
      RowBox[{"ParametricPlot", "[", 
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{"{", "\[IndentingNewLine]", 
           RowBox[{"mix", "[", 
            RowBox[{
             RowBox[{"mix", "[", 
              RowBox[{"a", ",", "c", ",", "t"}], "]"}], ",", 
             RowBox[{"mix", "[", 
              RowBox[{"c", ",", "b", ",", "t"}], "]"}], ",", "t"}], "]"}], 
           "\[IndentingNewLine]", "}"}], "//", "ReIm"}], "//", "Evaluate"}], 
        ",", 
        RowBox[{"{", 
         RowBox[{"t", ",", "0", ",", "tt"}], "}"}], ",", 
        RowBox[{"PlotRange", "\[Rule]", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{"-", "1"}], ",", "14"}], "}"}]}], ",", 
        RowBox[{"GridLines", "\[Rule]", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{
            RowBox[{"Range", "[", "40", "]"}], "-", "20"}], ",", 
           RowBox[{
            RowBox[{"Range", "[", "40", "]"}], "-", "20"}]}], "}"}]}], ",", 
        RowBox[{"Epilog", "\[Rule]", 
         RowBox[{"{", "\[IndentingNewLine]", 
          RowBox[{
           RowBox[{"{", 
            RowBox[{"Dotted", ",", "\[IndentingNewLine]", 
             RowBox[{"Line", "[", 
              RowBox[{"ReIm", "/@", 
               RowBox[{"{", 
                RowBox[{
                 RowBox[{"{", 
                  RowBox[{"a", ",", "c"}], "}"}], ",", 
                 RowBox[{"{", 
                  RowBox[{"c", ",", "b"}], "}"}]}], "}"}]}], "]"}]}], 
            "\[IndentingNewLine]", "}"}], ",", "\[IndentingNewLine]", 
           RowBox[{"Line", "[", 
            RowBox[{"ReIm", "/@", 
             RowBox[{"{", 
              RowBox[{"ac", ",", "cb"}], "}"}]}], "]"}], ",", 
           "\[IndentingNewLine]", 
           RowBox[{"{", 
            RowBox[{
             RowBox[{"PointSize", "[", "0.01", "]"}], ",", 
             RowBox[{"Point", "[", 
              RowBox[{"ReIm", "/@", 
               RowBox[{"{", 
                RowBox[{"a", ",", "c", ",", "b", ",", "ac", ",", "cb"}], 
                "}"}]}], "]"}]}], "}"}], ",", "\[IndentingNewLine]", 
           RowBox[{"{", 
            RowBox[{
             RowBox[{"PointSize", "[", "0.02", "]"}], ",", 
             RowBox[{"Point", "[", 
              RowBox[{
               RowBox[{"mix", "[", 
                RowBox[{"ac", ",", "cb", ",", "tt"}], "]"}], "//", "ReIm"}], 
              "]"}]}], "}"}], ",", "\[IndentingNewLine]", 
           RowBox[{"Style", "[", 
            RowBox[{
             RowBox[{"{", "\[IndentingNewLine]", 
              RowBox[{
               RowBox[{"Text", "[", 
                RowBox[{"\"\<a\>\"", ",", 
                 RowBox[{
                  RowBox[{"a", "+", "0.15", "+", 
                   RowBox[{"0.2", "I"}]}], "//", "ReIm"}], ",", "Top"}], 
                "]"}], ",", "\[IndentingNewLine]", 
               RowBox[{"Text", "[", 
                RowBox[{"\"\<b\>\"", ",", 
                 RowBox[{
                  RowBox[{"b", "-", "0.15", "+", 
                   RowBox[{"0.1", "I"}]}], "//", "ReIm"}], ",", "Top"}], 
                "]"}], ",", "\[IndentingNewLine]", 
               RowBox[{"Text", "[", 
                RowBox[{"\"\<c\>\"", ",", 
                 RowBox[{"c", "//", "ReIm"}], ",", "Bottom"}], "]"}]}], 
              "\[IndentingNewLine]", "}"}], ",", "Large"}], "]"}], ",", 
           "\[IndentingNewLine]", 
           RowBox[{"Style", "[", 
            RowBox[{
             RowBox[{"{", "\[IndentingNewLine]", 
              RowBox[{
               RowBox[{"Text", "[", 
                RowBox[{"\"\<ac\>\"", ",", 
                 RowBox[{
                  RowBox[{"ac", "-", "0.1"}], "//", "ReIm"}], ",", "Right"}], 
                "]"}], ",", "\[IndentingNewLine]", 
               RowBox[{"Text", "[", 
                RowBox[{"\"\<cb\>\"", ",", 
                 RowBox[{
                  RowBox[{"cb", "+", "0.1", "+", 
                   RowBox[{"0.1", "I"}]}], "//", "ReIm"}], ",", "Left"}], 
                "]"}], ",", "\[IndentingNewLine]", 
               RowBox[{"Text", "[", 
                RowBox[{"\"\<d\>\"", ",", 
                 RowBox[{
                  RowBox[{"d", "+", 
                   RowBox[{"0.1", "I"}]}], "//", "ReIm"}], ",", "Bottom"}], 
                "]"}]}], "\[IndentingNewLine]", "}"}], ",", "Medium"}], 
            "]"}]}], "\[IndentingNewLine]", "}"}]}]}], "\[IndentingNewLine]", 
       "]"}]}], ",", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{"tt", ",", "1"}], "}"}], ",", "0.001", ",", "1"}], "}"}], ",", 
     RowBox[{"AnimationRunning", "\[Rule]", "False"}], ",", 
     RowBox[{"AnimationRate", "\[Rule]", "0.3"}]}], "]"}]}], "]"}]], "Input",
 CellOpen->False,
 CellChangeTimes->{{3.8074865895986385`*^9, 3.8074866801956406`*^9}, {
   3.8074867390296383`*^9, 3.8074867607446413`*^9}, {3.8074868191576385`*^9, 
   3.8074868907716403`*^9}, {3.8074869290956383`*^9, 3.807487002691701*^9}, {
   3.807487062715669*^9, 3.807487072106702*^9}, {3.807487119999708*^9, 
   3.8074872318576736`*^9}, {3.807487282791706*^9, 3.807487283135741*^9}, {
   3.807487321036693*^9, 3.8074873337907157`*^9}, {3.807487617319711*^9, 
   3.8074876530847073`*^9}, {3.8074909287850323`*^9, 3.807490977477035*^9}, {
   3.807572756890975*^9, 3.8075728056646595`*^9}, {3.807572845089815*^9, 
   3.8075728726793823`*^9}, {3.807572913134427*^9, 3.8075729376443624`*^9}, {
   3.8075729679594603`*^9, 3.8075729943414946`*^9}, {3.8075730719763327`*^9, 
   3.8075730845609784`*^9}, {3.8075731514156356`*^9, 3.8075731985955*^9}, {
   3.807573339453038*^9, 3.80757341481338*^9}, {3.8075734493741055`*^9, 
   3.807573546991321*^9}, {3.8075737556449456`*^9, 3.8075738440667386`*^9}, {
   3.8075739084983582`*^9, 3.8075739254751987`*^9}, {3.8075739611388054`*^9, 
   3.8075740692671585`*^9}, 3.807574686873537*^9, {3.807574727620103*^9, 
   3.8075747292135997`*^9}, {3.8075792918756504`*^9, 3.807579307696384*^9}, {
   3.807587104616356*^9, 3.807587207143357*^9}, {3.8075872762453594`*^9, 
   3.8075873143603563`*^9}, {3.807587416692359*^9, 3.8075874244863586`*^9}, {
   3.807587455650359*^9, 3.807587563226357*^9}, {3.8075876143353553`*^9, 
   3.8075876597293587`*^9}, {3.807596826420728*^9, 3.8075968277597256`*^9}, {
   3.807602447218381*^9, 3.807602510947136*^9}, {3.8078498007795105`*^9, 
   3.807849878311925*^9}, {3.807849978231654*^9, 3.807849985423493*^9}, {
   3.8078500709457426`*^9, 3.8078500753435173`*^9}, {3.807850878680794*^9, 
   3.8078509286708384`*^9}, {3.807850967963853*^9, 3.807850993700611*^9}, {
   3.8078510321306477`*^9, 3.80785114930955*^9}, {3.80793434583912*^9, 
   3.8079343505418606`*^9}},
 Background->GrayLevel[0.85],
 CellLabel->"In[2]:=",ExpressionUUID->"e02401a1-00aa-4573-90d8-7c2b3e421f91"],

Cell[BoxData[
 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`tt$$ = 1, Typeset`show$$ = True, 
    Typeset`bookmarkList$$ = {}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{{
       Hold[$CellContext`tt$$], 1}, 0.001, 1}}, Typeset`size$$ = {
    540., {243., 251.}}, Typeset`update$$ = 0, Typeset`initDone$$, 
    Typeset`skipInitDone$$ = True, $CellContext`tt$2933$$ = 0}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     1, StandardForm, "Variables" :> {$CellContext`tt$$ = 1}, 
      "ControllerVariables" :> {
        Hold[$CellContext`tt$$, $CellContext`tt$2933$$, 0]}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, 
      "Body" :> ($CellContext`ac$2930 = $CellContext`mix[$CellContext`a$2930, \
$CellContext`c$2930, $CellContext`tt$$]; $CellContext`cb$2930 = \
$CellContext`mix[$CellContext`c$2930, $CellContext`b$2930, $CellContext`tt$$]; \
$CellContext`d$2930 = $CellContext`mix[$CellContext`ac$2930, \
$CellContext`cb$2930, $CellContext`tt$$]; ParametricPlot[
         Evaluate[
          ReIm[{
            $CellContext`mix[
             $CellContext`mix[$CellContext`a$2930, $CellContext`c$2930, \
$CellContext`t], 
             $CellContext`mix[$CellContext`c$2930, $CellContext`b$2930, \
$CellContext`t], $CellContext`t]}]], {$CellContext`t, 0, $CellContext`tt$$}, 
         PlotRange -> {-1, 14}, GridLines -> {Range[40] - 20, Range[40] - 20},
          Epilog -> {{Dotted, 
            Line[
             Map[
             ReIm, {{$CellContext`a$2930, $CellContext`c$2930}, \
{$CellContext`c$2930, $CellContext`b$2930}}]]}, 
           Line[
            Map[ReIm, {$CellContext`ac$2930, $CellContext`cb$2930}]], {
            PointSize[0.01], 
            Point[
             Map[
             ReIm, {$CellContext`a$2930, $CellContext`c$2930, \
$CellContext`b$2930, $CellContext`ac$2930, $CellContext`cb$2930}]]}, {
            PointSize[0.02], 
            Point[
             ReIm[
              $CellContext`mix[$CellContext`ac$2930, $CellContext`cb$2930, \
$CellContext`tt$$]]]}, 
           Style[{
             Text["a", 
              ReIm[$CellContext`a$2930 + 0.15 + 0.2 I], Top], 
             Text["b", 
              ReIm[$CellContext`b$2930 - 0.15 + 0.1 I], Top], 
             Text["c", 
              ReIm[$CellContext`c$2930], Bottom]}, Large], 
           Style[{
             Text["ac", 
              ReIm[$CellContext`ac$2930 - 0.1], Right], 
             Text["cb", 
              ReIm[$CellContext`cb$2930 + 0.1 + 0.1 I], Left], 
             Text["d", 
              ReIm[$CellContext`d$2930 + 0.1 I], Bottom]}, Medium]}]), 
      "Specifications" :> {{{$CellContext`tt$$, 1}, 0.001, 1, 
         AnimationRunning -> False, AnimationRate -> 0.3, 
         AppearanceElements -> {
          "ProgressSlider", "PlayPauseButton", "FasterSlowerButtons", 
           "DirectionButton"}}}, 
      "Options" :> {
       ControlType -> Animator, AppearanceElements -> None, DefaultBaseStyle -> 
        "Animate", DefaultLabelStyle -> "AnimateLabel", SynchronousUpdating -> 
        True, ShrinkingDelay -> 10.}, "DefaultOptions" :> {}],
     ImageSizeCache->{612., {299., 308.}},
     SingleEvaluation->True],
    Deinitialization:>None,
    DynamicModuleValues:>{},
    SynchronousInitialization->True,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Animate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellChangeTimes->{{3.807849864685095*^9, 3.8078498789632587`*^9}, {
   3.8078499796792374`*^9, 3.8078499857787204`*^9}, {3.807850071332164*^9, 
   3.807850075631539*^9}, {3.807850882544228*^9, 3.8078509290591574`*^9}, {
   3.807850975798324*^9, 3.807850994191137*^9}, {3.8078510328677893`*^9, 
   3.8078510380144415`*^9}, {3.8078510682809677`*^9, 3.807851088549466*^9}, 
   3.8078511195379086`*^9, 3.8078511496653137`*^9, 3.8078512394967155`*^9, 
   3.807919821309763*^9, 3.807929933757716*^9, 3.807932188314836*^9, 
   3.8079404837554235`*^9, 3.8079632721536922`*^9},
 CellLabel->"Out[2]=",ExpressionUUID->"96b43b03-fcb6-4fa0-9255-4db24286400a"]
}, Open  ]],

Cell["\<\
\:0427\:0442\:043e\:0431\:044b \:043f\:043e\:043b\:0443\:0447\:0438\:0442\
\:044c \:0444\:043e\:0440\:043c\:0443\:043b\:0443 \:043d\:0435\:043f\:043e\
\:0441\:0440\:0435\:0434\:0441\:0442\:0432\:0435\:043d\:043d\:043e \:0438\
\:0437 \:0433\:0440\:0430\:0444\:0438\:0447\:0435\:0441\:043a\:043e\:0433\
\:043e \:043f\:0440\:0435\:0434\:0441\:0442\:0430\:0432\:043b\:0435\:043d\
\:0438\:044f, \:0434\:043e\:0441\:0442\:0430\:0442\:043e\:0447\:043d\:043e \
\:043e\:043f\:0440\:0435\:0434\:0435\:043b\:0438\:0442\:044c \:0432\:0441\
\:043f\:043e\:043c\:043e\:0433\:0430\:0442\:0435\:043b\:044c\:043d\:0443\:044e\
 \:0444\:0443\:043d\:043a\:0446\:0438\:044e \:0434\:043b\:044f \:043b\:0438\
\:043d\:0435\:0439\:043d\:043e\:0439 \:0438\:043d\:0442\:0435\:0440\:043f\
\:043e\:043b\:044f\:0446\:0438\:0438 \:043c\:0435\:0436\:0434\:0443 \:0434\
\:0432\:0443\:043c\:044f \:0442\:043e\:0447\:043a\:0430\:043c\:0438, \:0432 \
\:043a\:043e\:0442\:043e\:0440\:0430\:044f \:043f\:0440\:0438 \:0438\:0437\
\:043c\:0435\:043d\:0435\:043d\:0438\:0438 \:043f\:0430\:0440\:0430\:043c\
\:0435\:0442\:0440\:0430 t \:043e\:0442 0 \:0434\:043e 1 \:0432\:043e\:0437\
\:0432\:0440\:0430\:0449\:0430\:0435\:0442 \:043f\:0440\:043e\:043c\:0435\
\:0436\:0443\:0442\:043e\:0447\:043d\:044b\:0435 \:0437\:043d\:0430\:0447\
\:0435\:043d\:0438\:044f \:043e\:0442 a \:0434\:043e b:\
\>", "Text",
 CellChangeTimes->{{3.8075741185048237`*^9, 3.807574188470025*^9}, {
  3.807574241209182*^9, 
  3.807574381378599*^9}},ExpressionUUID->"c6424e17-4136-4ae2-bce0-\
5d8365dd7141"],

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"mix", "[", 
    RowBox[{"a_", ",", "b_", ",", "t_"}], "]"}], ":=", 
   RowBox[{
    RowBox[{"a", 
     RowBox[{"(", 
      RowBox[{"1", "-", "t"}], ")"}]}], "+", 
    RowBox[{"b", " ", "t"}]}]}], ";"}]], "Input",
 CellChangeTimes->{{3.8074866981306715`*^9, 3.807486722055704*^9}, {
  3.8074870269836564`*^9, 3.8074870286177025`*^9}, {3.8075742135516915`*^9, 
  3.807574218871505*^9}},
 Background->RGBColor[0.88, 1, 0.88],
 CellLabel->"In[3]:=",ExpressionUUID->"c18e5567-da26-4386-9b19-9ae005bc5a04"],

Cell["\<\
[\:041f\:0440\:0438\:043c\:0435\:0447\:0430\:043d\:0438\:0435: \:0412 \:043c\
\:0430\:0442\:0435\:043c\:0430\:0442\:0438\:043a\:0435 \:043a\:0430\:043a-\
\:0442\:043e \:043d\:0435 \:0441\:043b\:043e\:0436\:0438\:043b\:043e\:0441\
\:044c \:0443\:0441\:0442\:043e\:0439\:0447\:0438\:0432\:043e\:0433\:043e \
\:043d\:0430\:0437\:0432\:0430\:043d\:0438\:044f \:0434\:043b\:044f \:0444\
\:0443\:043d\:043a\:0446\:0438\:0438 \:043b\:0438\:043d\:0435\:0439\:043d\
\:043e\:0439 \:0438\:043d\:0442\:0435\:0440\:043f\:043e\:043b\:044f\:0446\
\:0438\:0438 \:0438 \:0432 \:0437\:0430\:0432\:0438\:0441\:0438\:043c\:043e\
\:0441\:0442\:0438 \:043e\:0442 \:0441\:0444\:0435\:0440\:044b \:043f\:0440\
\:0438\:043c\:0435\:043d\:0435\:043d\:0438\:044f \:043e\:043d\:0430 \:043c\
\:043e\:0436\:0435\:0442 \:043d\:0430\:0437\:044b\:0432\:0430\:0442\:044c\
\:0441\:044f lerp, blend, mix \:0438 \:043a\:0430\:043a-\:0442\:043e \:0435\
\:0449\:0451. \:041a \:043d\:0435\:0439 \:0442\:0430\:043a\:0436\:0435 \:043e\
\:0442\:043d\:043e\:0441\:0438\:0442\:0441\:044f \:0438 \:043a\:0440\:0438\
\:0432\:0430\:044f \:0411\:0435\:0437\:044c\:0435 \:043f\:0435\:0440\:0432\
\:043e\:0433\:043e \:043f\:043e\:0440\:044f\:0434\:043a\:0430.]\
\>", "Text",
 CellChangeTimes->{{3.807852063478006*^9, 3.807852097007862*^9}, 
   3.8079506349262066`*^9},ExpressionUUID->"b348e311-2871-49c3-b76d-\
e8ec4d38ee70"],

Cell["\<\
\:0421 \:0435\:0451 \:043f\:043e\:043c\:043e\:0449\:044c\:044e \:043c\:043e\
\:0436\:043d\:043e \:043f\:043e\:0441\:043b\:0435\:0434\:043e\:0432\:0430\
\:0442\:0435\:043b\:044c\:043d\:043e \:043d\:0430\:0439\:0442\:0438 \:043d\
\:0435\:043e\:0431\:0445\:043e\:0434\:0438\:043c\:044b\:0435 \:0442\:043e\
\:0447\:043a\:0438 -  \:0441\:043d\:0430\:0447\:0430\:043b\:0430 \:043d\:0430\
\:0439\:0442\:0438\
\>", "Text",
 CellChangeTimes->{{3.807574445273881*^9, 3.807574453452882*^9}, {
   3.8075745068529377`*^9, 3.8075745679238815`*^9}, {3.8075747669808264`*^9, 
   3.8075747696916275`*^9}, 3.807598690167725*^9, {3.807852116839686*^9, 
   3.807852117429745*^9}},ExpressionUUID->"167129a0-d2ba-4618-b43e-\
777bd8c1d7f7"],

Cell[BoxData[
 RowBox[{"ac", "=", 
  RowBox[{"mix", "[", 
   RowBox[{"a", ",", "c", ",", "t"}], "]"}]}]], "Input",
 Evaluatable->False,
 CellChangeTimes->{{3.807574575045639*^9, 
  3.807574588805311*^9}},ExpressionUUID->"196bc888-7108-4bde-827d-\
dc4fe64e1157"],

Cell["\:0438", "Text",
 CellChangeTimes->{{3.807574763586363*^9, 
  3.8075747652015457`*^9}},ExpressionUUID->"2425ea29-710a-4d95-a592-\
5a0aa3585108"],

Cell[BoxData[
 RowBox[{"cb", "=", 
  RowBox[{"mix", "[", 
   RowBox[{"\:0441", ",", "b", ",", "t"}], "]"}]}]], "Input",
 Evaluatable->False,
 CellChangeTimes->{{3.807574575045639*^9, 3.807574617104956*^9}, {
  3.8075747741779366`*^9, 
  3.807574777793821*^9}},ExpressionUUID->"0e9bce6b-feb2-49b0-ac88-\
33878979a35d"],

Cell["\:0430 \:0437\:0430\:0442\:0435\:043c \:0443\:0436\:0435 \:0447\:0435\
\:0440\:0435\:0437 \:043d\:0438\:0445 \:043d\:0430\:0439\:0442\:0438", "Text",
 CellChangeTimes->{{3.8075747920869155`*^9, 
  3.80757482957402*^9}},ExpressionUUID->"2af54c44-c999-4b12-b0e8-\
45504fbaa749"],

Cell[BoxData[
 RowBox[{"d", "=", 
  RowBox[{"mix", "[", 
   RowBox[{"ac", ",", "cb", ",", "t"}], "]"}]}]], "Input",
 Evaluatable->False,
 CellChangeTimes->{{3.807574575045639*^9, 3.807574588805311*^9}, {
  3.807574783890051*^9, 
  3.8075747884871626`*^9}},ExpressionUUID->"c05b72e0-f709-4801-bafa-\
06ac2ccec947"],

Cell["\<\
\:041f\:0440\:0438 \:0436\:0435\:043b\:0430\:043d\:0438\:0438, \:043c\:043e\
\:0436\:043d\:043e \:043f\:043e\:0434\:0441\:0442\:0430\:0432\:0438\:0442\
\:044c \:0444\:0443\:043d\:043a\:0446\:0438\:0438 \:0434\:0440\:0443\:0433 \
\:0432 \:0434\:0440\:0443\:0433\:0430 \:0438 \:0441\:043e\:043a\:0440\:0430\
\:0442\:0438\:0442\:044c - \:0445\:043e\:0442\:044f \:044d\:0442\:043e \:043e\
\:0441\:043e\:0431\:043e \:0438 \:043d\:0435 \:0443\:043f\:0440\:043e\:0441\
\:0442\:0438\:0442 \:0432\:044b\:0447\:0438\:0441\:043b\:0435\:043d\:0438\
\:044f, \:0437\:0430\:0442\:043e \:043f\:043e\:0437\:0432\:043e\:043b\:0438\
\:0442 \:043e\:0431\:043e\:0431\:0449\:0438\:0442\:044c \:043a\:0440\:0438\
\:0432\:044b\:0435 \:043d\:0430 \:043f\:0440\:043e\:0438\:0437\:0432\:043e\
\:043b\:044c\:043d\:043e\:0435 \:043a\:043e\:043b\:0438\:0447\:0435\:0441\
\:0442\:0432\:043e \:043e\:043f\:043e\:0440\:043d\:044b\:0445 \:0442\:043e\
\:0447\:0435\:043a (\:0447\:0435\:0440\:0435\:0437 \:043f\:043e\:043b\:0438\
\:043d\:043e\:043c\:044b \:0411\:0435\:0440\:043d\:0448\:0442\:0435\:0439\
\:043d\:0430). \:0412 \:043d\:0430\:0448\:0435\:043c \:0441\:043b\:0443\:0447\
\:0430\:0435 \:043f\:043e\:043b\:0443\:0447\:0438\:043c \
\>", "Text",
 CellChangeTimes->{{3.807575017960759*^9, 3.8075750220013227`*^9}, {
  3.807575171457588*^9, 3.8075752179038906`*^9}, {3.807575314432812*^9, 
  3.8075754238816366`*^9}, {3.8075756788810835`*^9, 3.807575766140586*^9}, {
  3.8079451497534175`*^9, 3.807945152576887*^9}, {3.8079452104798574`*^9, 
  3.807945237608318*^9}},ExpressionUUID->"b775e2e1-b6f3-48bc-83b7-\
f2196046c570"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"mix", "[", 
   RowBox[{
    RowBox[{"mix", "[", 
     RowBox[{"a", ",", "c", ",", "t"}], "]"}], ",", 
    RowBox[{"mix", "[", 
     RowBox[{"c", ",", "b", ",", "t"}], "]"}], ",", "t"}], "]"}], "//", 
  RowBox[{
   RowBox[{"Collect", "[", 
    RowBox[{"#", ",", 
     RowBox[{"{", 
      RowBox[{"a", ",", "b", ",", "c"}], "}"}]}], "]"}], "&"}]}]], "Input",
 CellChangeTimes->{{3.8075750356000404`*^9, 3.807575043305606*^9}, {
  3.8075752333627224`*^9, 3.80757523767784*^9}, {3.8075752716230893`*^9, 
  3.8075753090853305`*^9}, {3.8075756111076307`*^9, 3.807575628426273*^9}},
 CellLabel->"In[4]:=",ExpressionUUID->"36104542-3d6e-4135-b58d-d3ede96842e0"],

Cell[BoxData[
 RowBox[{
  RowBox[{"a", " ", 
   SuperscriptBox[
    RowBox[{"(", 
     RowBox[{"1", "-", "t"}], ")"}], "2"]}], "+", 
  RowBox[{"2", " ", "c", " ", 
   RowBox[{"(", 
    RowBox[{"1", "-", "t"}], ")"}], " ", "t"}], "+", 
  RowBox[{"b", " ", 
   SuperscriptBox["t", "2"]}]}]], "Output",
 CellChangeTimes->{
  3.8075750080486755`*^9, 3.8075750440824623`*^9, 3.80757523786158*^9, {
   3.807575271896809*^9, 3.8075753096477313`*^9}, 3.8075756285385933`*^9, 
   3.8075811217492733`*^9, 3.80758706949936*^9, 3.807601715100008*^9, 
   3.8078493992304907`*^9, 3.8079198213708425`*^9, 3.80792993381037*^9, 
   3.807932188324993*^9, 3.807940483806229*^9, 3.8079632722005386`*^9},
 CellLabel->"Out[4]=",ExpressionUUID->"1cb5d9fc-207f-42e6-958b-d5c2b320ead7"]
}, Open  ]],

Cell["\<\
\:0423\:0432\:0435\:043b\:0438\:0447\:0435\:043d\:0438\:0435 \:043f\:043e\
\:0440\:044f\:0434\:043a\:0430 \:043a\:0440\:0438\:0432\:044b\:0445 \:0434\
\:043e\:0441\:0442\:0438\:0433\:0430\:0435\:0442\:0441\:044f \:0442\:0440\
\:0438\:0432\:0438\:0430\:043b\:044c\:043d\:043e - \:0438\:0441\:0445\:043e\
\:0434\:043d\:044b\:0435 \:0442\:043e\:0447\:043a\:0438 \:0437\:0430\:0434\
\:0430\:044e\:0442\:0441\:044f \:043d\:0435 \:043a\:043e\:043d\:0441\:0442\
\:0430\:043d\:0442\:043d\:043e, \:0430 \:043a\:0430\:043a \:0440\:0435\:0437\
\:0443\:043b\:044c\:0442\:0430\:0442 \:0438\:043d\:0442\:0435\:0440\:043f\
\:043e\:043b\:044f\:0446\:0438\:0438 \:043c\:0435\:0436\:0434\:0443 n+1 \
\:0434\:0440\:0443\:0433\:0438\:0445 \:043a\:043e\:043d\:0442\:0440\:043e\
\:043b\:044c\:043d\:044b\:0445 \:0442\:043e\:0447\:0435\:043a:\
\>", "Text",
 CellChangeTimes->{{3.807602072029554*^9, 3.8076020963094387`*^9}, {
  3.807602215855612*^9, 3.8076022463481507`*^9}, {3.807602276995827*^9, 
  3.8076022928490224`*^9}, {3.8076023236558895`*^9, 3.8076023477757707`*^9}, {
  3.80784956615136*^9, 3.8078495706607666`*^9}, {3.8078505155489607`*^9, 
  3.8078505295661383`*^9}},ExpressionUUID->"f2accc80-492a-46a5-9d79-\
2c0fe77b293a"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Module", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
     RowBox[{"a", "=", "0"}], ",", "\[IndentingNewLine]", 
     RowBox[{"b", "=", 
      RowBox[{"3", "+", 
       RowBox[{"13", "I"}]}]}], ",", "\[IndentingNewLine]", 
     RowBox[{"c", "=", 
      RowBox[{"13", "+", 
       RowBox[{"3", "I"}]}]}], ",", "\[IndentingNewLine]", 
     RowBox[{"d", "=", "10"}], ",", "\[IndentingNewLine]", "ab", ",", "bc", 
     ",", "cd", ",", "abc", ",", "bcd", ",", "abcd"}], "\[IndentingNewLine]", 
    "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"Animate", "[", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{
      RowBox[{"ab", "=", 
       RowBox[{"mix", "[", 
        RowBox[{"a", ",", "b", ",", "tt"}], "]"}]}], ";", 
      "\[IndentingNewLine]", 
      RowBox[{"bc", "=", 
       RowBox[{"mix", "[", 
        RowBox[{"b", ",", "c", ",", "tt"}], "]"}]}], ";", 
      "\[IndentingNewLine]", 
      RowBox[{"cd", "=", 
       RowBox[{"mix", "[", 
        RowBox[{"c", ",", "d", ",", "tt"}], "]"}]}], ";", 
      "\[IndentingNewLine]", "\[IndentingNewLine]", 
      RowBox[{"abc", "=", 
       RowBox[{"mix", "[", 
        RowBox[{"ab", ",", "bc", ",", "tt"}], "]"}]}], ";", 
      "\[IndentingNewLine]", 
      RowBox[{"bcd", "=", 
       RowBox[{"mix", "[", 
        RowBox[{"bc", ",", "cd", ",", "tt"}], "]"}]}], ";", 
      "\[IndentingNewLine]", "\[IndentingNewLine]", 
      RowBox[{"abcd", "=", 
       RowBox[{"mix", "[", 
        RowBox[{"abc", ",", "bcd", ",", "tt"}], "]"}]}], ";", 
      "\[IndentingNewLine]", "\[IndentingNewLine]", 
      RowBox[{"ParametricPlot", "[", 
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{"{", "\[IndentingNewLine]", 
           RowBox[{"a", "+", 
            RowBox[{"t", " ", 
             RowBox[{"(", 
              RowBox[{
               RowBox[{
                RowBox[{"-", "3"}], " ", "a"}], "+", 
               RowBox[{"3", " ", "b"}], "+", 
               RowBox[{"t", " ", 
                RowBox[{"(", 
                 RowBox[{
                  RowBox[{"3", " ", "a"}], "-", 
                  RowBox[{"6", " ", "b"}], "+", 
                  RowBox[{"3", " ", "c"}], "+", 
                  RowBox[{
                   RowBox[{"(", 
                    RowBox[{
                    RowBox[{"-", "a"}], "+", 
                    RowBox[{"3", " ", "b"}], "-", 
                    RowBox[{"3", " ", "c"}], "+", "d"}], ")"}], " ", "t"}]}], 
                 ")"}]}]}], ")"}]}]}], "\[IndentingNewLine]", "}"}], "//", 
          "ReIm"}], "//", "Evaluate"}], ",", 
        RowBox[{"{", 
         RowBox[{"t", ",", "0", ",", "tt"}], "}"}], ",", 
        RowBox[{"PlotRange", "\[Rule]", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{"-", "1"}], ",", "14"}], "}"}]}], ",", 
        RowBox[{"GridLines", "\[Rule]", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{
            RowBox[{"Range", "[", "40", "]"}], "-", "20"}], ",", 
           RowBox[{
            RowBox[{"Range", "[", "40", "]"}], "-", "20"}]}], "}"}]}], ",", 
        RowBox[{"Epilog", "\[Rule]", 
         RowBox[{"{", "\[IndentingNewLine]", 
          RowBox[{
           RowBox[{"{", 
            RowBox[{"Dotted", ",", "\[IndentingNewLine]", 
             RowBox[{"Line", "[", 
              RowBox[{"ReIm", "/@", 
               RowBox[{"{", 
                RowBox[{
                 RowBox[{"{", 
                  RowBox[{"a", ",", "b"}], "}"}], ",", 
                 RowBox[{"{", 
                  RowBox[{"b", ",", "c"}], "}"}], ",", 
                 RowBox[{"{", 
                  RowBox[{"c", ",", "d"}], "}"}]}], "}"}]}], "]"}]}], 
            "\[IndentingNewLine]", "}"}], ",", "\[IndentingNewLine]", 
           RowBox[{"{", 
            RowBox[{"Gray", ",", 
             RowBox[{"Line", "[", 
              RowBox[{"ReIm", "/@", 
               RowBox[{"{", 
                RowBox[{
                 RowBox[{"{", 
                  RowBox[{"ab", ",", "bc"}], "}"}], ",", 
                 RowBox[{"{", 
                  RowBox[{"bc", ",", "cd"}], "}"}]}], "}"}]}], "]"}]}], "}"}],
            ",", "\[IndentingNewLine]", 
           RowBox[{"{", 
            RowBox[{"Line", "[", 
             RowBox[{"ReIm", "/@", 
              RowBox[{"{", 
               RowBox[{"{", 
                RowBox[{"abc", ",", "bcd"}], "}"}], "}"}]}], "]"}], "}"}], 
           ",", "\[IndentingNewLine]", 
           RowBox[{"{", 
            RowBox[{
             RowBox[{"PointSize", "[", "0.01", "]"}], ",", 
             RowBox[{"Point", "[", 
              RowBox[{"ReIm", "/@", 
               RowBox[{"{", 
                RowBox[{
                "a", ",", "b", ",", "c", ",", "d", ",", "ab", ",", "bc", ",", 
                 "cd"}], "}"}]}], "]"}]}], "}"}], ",", "\[IndentingNewLine]", 
           RowBox[{"{", 
            RowBox[{
             RowBox[{"PointSize", "[", "0.02", "]"}], ",", 
             RowBox[{"Point", "[", 
              RowBox[{
               RowBox[{"mix", "[", 
                RowBox[{"abc", ",", "bcd", ",", "tt"}], "]"}], "//", "ReIm"}],
               "]"}]}], "}"}], "\[IndentingNewLine]", ",", 
           RowBox[{"Style", "[", 
            RowBox[{
             RowBox[{"{", "\[IndentingNewLine]", 
              RowBox[{
               RowBox[{"Text", "[", 
                RowBox[{"\"\<a\>\"", ",", 
                 RowBox[{
                  RowBox[{"ab", "-", "0.2", "+", 
                   RowBox[{"0.2", "I"}]}], "//", "ReIm"}], ",", "Right"}], 
                "]"}], ",", "\[IndentingNewLine]", 
               RowBox[{"Text", "[", 
                RowBox[{"\"\<b\>\"", ",", 
                 RowBox[{
                  RowBox[{"cd", "+", "0.2", "-", 
                   RowBox[{"0.2", "I"}]}], "//", "ReIm"}], ",", "Left"}], 
                "]"}], ",", "\[IndentingNewLine]", 
               RowBox[{"Text", "[", 
                RowBox[{"\"\<c\>\"", ",", 
                 RowBox[{
                  RowBox[{"bc", "+", "0.2"}], "//", "ReIm"}], ",", "Bottom"}],
                 "]"}]}], "\[IndentingNewLine]", "}"}], ",", "Large"}], "]"}],
            ",", "\[IndentingNewLine]", 
           RowBox[{"Style", "[", 
            RowBox[{
             RowBox[{"{", "\[IndentingNewLine]", 
              RowBox[{
               RowBox[{"Text", "[", 
                RowBox[{"\"\<ac\>\"", ",", 
                 RowBox[{
                  RowBox[{"abc", "-", "0.2", "+", 
                   RowBox[{"0.2", "I"}]}], "//", "ReIm"}], ",", "Right"}], 
                "]"}], ",", "\[IndentingNewLine]", 
               RowBox[{"Text", "[", 
                RowBox[{"\"\<cb\>\"", ",", 
                 RowBox[{
                  RowBox[{"bcd", "+", "0.2", "-", 
                   RowBox[{"0.2", "I"}]}], "//", "ReIm"}], ",", "Left"}], 
                "]"}]}], "\[IndentingNewLine]", "}"}], ",", "Medium"}], 
            "]"}]}], "\[IndentingNewLine]", "}"}]}]}], "\[IndentingNewLine]", 
       "]"}]}], ",", "\[IndentingNewLine]", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{"tt", ",", "0.3"}], "}"}], ",", "0.001", ",", "1"}], "}"}], 
     ",", 
     RowBox[{"AnimationRunning", "\[Rule]", "False"}], ",", 
     RowBox[{"AnimationRate", "\[Rule]", "0.3"}]}], "]"}]}], "]"}]], "Input",
 CellOpen->False,
 CellChangeTimes->{{3.8074865895986385`*^9, 3.8074866801956406`*^9}, {
   3.8074867390296383`*^9, 3.8074867607446413`*^9}, {3.8074868191576385`*^9, 
   3.8074868907716403`*^9}, {3.8074869290956383`*^9, 3.807487002691701*^9}, {
   3.807487062715669*^9, 3.807487072106702*^9}, {3.807487119999708*^9, 
   3.8074872318576736`*^9}, {3.807487282791706*^9, 3.807487283135741*^9}, {
   3.807487321036693*^9, 3.8074873337907157`*^9}, {3.807487617319711*^9, 
   3.8074876530847073`*^9}, {3.8074909287850323`*^9, 3.807490977477035*^9}, {
   3.807572756890975*^9, 3.8075728056646595`*^9}, {3.807572845089815*^9, 
   3.8075728726793823`*^9}, {3.807572913134427*^9, 3.8075729376443624`*^9}, {
   3.8075729679594603`*^9, 3.8075729943414946`*^9}, {3.8075730719763327`*^9, 
   3.8075730845609784`*^9}, {3.8075731514156356`*^9, 3.8075731985955*^9}, {
   3.807573339453038*^9, 3.80757341481338*^9}, {3.8075734493741055`*^9, 
   3.807573546991321*^9}, {3.8075737556449456`*^9, 3.8075738440667386`*^9}, {
   3.8075739084983582`*^9, 3.8075739254751987`*^9}, {3.8075739611388054`*^9, 
   3.8075740692671585`*^9}, 3.807574686873537*^9, {3.807574727620103*^9, 
   3.8075747292135997`*^9}, {3.8075792918756504`*^9, 3.807579307696384*^9}, {
   3.807587104616356*^9, 3.807587207143357*^9}, {3.8075872762453594`*^9, 
   3.8075873143603563`*^9}, {3.807587416692359*^9, 3.8075874244863586`*^9}, {
   3.807587455650359*^9, 3.807587563226357*^9}, {3.8075876143353553`*^9, 
   3.8075876597293587`*^9}, {3.807596826420728*^9, 3.8075968277597256`*^9}, {
   3.8076023780809464`*^9, 3.807602403604238*^9}, {3.8078496344399595`*^9, 
   3.8078497428784614`*^9}, {3.80785005087859*^9, 3.807850120723419*^9}, {
   3.807850539883151*^9, 3.807850620804038*^9}, 3.807850730092117*^9, 
   3.8078507975810823`*^9, {3.80785083968519*^9, 3.8078508423410845`*^9}, {
   3.8078512612214055`*^9, 3.8078513592361946`*^9}, {3.807851402641254*^9, 
   3.8078514098272276`*^9}, {3.807851444099497*^9, 3.8078515639757223`*^9}, {
   3.807851619855627*^9, 3.807851620681897*^9}, {3.807851665173917*^9, 
   3.8078516677914963`*^9}, {3.807933992469079*^9, 3.807934123404781*^9}, {
   3.807934166736266*^9, 3.807934304499941*^9}},
 Background->GrayLevel[0.85],
 CellLabel->"In[5]:=",ExpressionUUID->"3663858f-41af-4962-a0a1-84ffdfae320e"],

Cell[BoxData[
 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`tt$$ = 0.3, Typeset`show$$ = True, 
    Typeset`bookmarkList$$ = {}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{{
       Hold[$CellContext`tt$$], 0.3}, 0.001, 1}}, Typeset`size$$ = {
    540., {243., 251.}}, Typeset`update$$ = 0, Typeset`initDone$$, 
    Typeset`skipInitDone$$ = True, $CellContext`tt$2993$$ = 0}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     1, StandardForm, "Variables" :> {$CellContext`tt$$ = 0.3}, 
      "ControllerVariables" :> {
        Hold[$CellContext`tt$$, $CellContext`tt$2993$$, 0]}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, 
      "Body" :> ($CellContext`ab$2992 = $CellContext`mix[$CellContext`a$2992, \
$CellContext`b$2992, $CellContext`tt$$]; $CellContext`bc$2992 = \
$CellContext`mix[$CellContext`b$2992, $CellContext`c$2992, $CellContext`tt$$]; \
$CellContext`cd$2992 = $CellContext`mix[$CellContext`c$2992, \
$CellContext`d$2992, $CellContext`tt$$]; $CellContext`abc$2992 = \
$CellContext`mix[$CellContext`ab$2992, $CellContext`bc$2992, \
$CellContext`tt$$]; $CellContext`bcd$2992 = \
$CellContext`mix[$CellContext`bc$2992, $CellContext`cd$2992, \
$CellContext`tt$$]; $CellContext`abcd$2992 = \
$CellContext`mix[$CellContext`abc$2992, $CellContext`bcd$2992, \
$CellContext`tt$$]; ParametricPlot[
         Evaluate[
          
          ReIm[{$CellContext`a$2992 + $CellContext`t ((-3) \
$CellContext`a$2992 + 
              3 $CellContext`b$2992 + $CellContext`t (3 $CellContext`a$2992 - 
                6 $CellContext`b$2992 + 
                3 $CellContext`c$2992 + (-$CellContext`a$2992 + 
                  3 $CellContext`b$2992 - 
                  3 $CellContext`c$2992 + $CellContext`d$2992) \
$CellContext`t))}]], {$CellContext`t, 0, $CellContext`tt$$}, 
         PlotRange -> {-1, 14}, GridLines -> {Range[40] - 20, Range[40] - 20},
          Epilog -> {{Dotted, 
            Line[
             Map[
             ReIm, {{$CellContext`a$2992, $CellContext`b$2992}, \
{$CellContext`b$2992, $CellContext`c$2992}, {$CellContext`c$2992, \
$CellContext`d$2992}}]]}, {Gray, 
            Line[
             Map[
             ReIm, {{$CellContext`ab$2992, $CellContext`bc$2992}, \
{$CellContext`bc$2992, $CellContext`cd$2992}}]]}, {
            Line[
             Map[ReIm, {{$CellContext`abc$2992, $CellContext`bcd$2992}}]]}, {
            PointSize[0.01], 
            Point[
             Map[
             ReIm, {$CellContext`a$2992, $CellContext`b$2992, \
$CellContext`c$2992, $CellContext`d$2992, $CellContext`ab$2992, \
$CellContext`bc$2992, $CellContext`cd$2992}]]}, {
            PointSize[0.02], 
            Point[
             ReIm[
              $CellContext`mix[$CellContext`abc$2992, $CellContext`bcd$2992, \
$CellContext`tt$$]]]}, 
           Style[{
             Text["a", 
              ReIm[$CellContext`ab$2992 - 0.2 + 0.2 I], Right], 
             Text["b", 
              ReIm[$CellContext`cd$2992 + 0.2 - 0.2 I], Left], 
             Text["c", 
              ReIm[$CellContext`bc$2992 + 0.2], Bottom]}, Large], 
           Style[{
             Text["ac", 
              ReIm[$CellContext`abc$2992 - 0.2 + 0.2 I], Right], 
             Text["cb", 
              ReIm[$CellContext`bcd$2992 + 0.2 - 0.2 I], Left]}, Medium]}]), 
      "Specifications" :> {{{$CellContext`tt$$, 0.3}, 0.001, 1, 
         AnimationRunning -> False, AnimationRate -> 0.3, 
         AppearanceElements -> {
          "ProgressSlider", "PlayPauseButton", "FasterSlowerButtons", 
           "DirectionButton"}}}, 
      "Options" :> {
       ControlType -> Animator, AppearanceElements -> None, DefaultBaseStyle -> 
        "Animate", DefaultLabelStyle -> "AnimateLabel", SynchronousUpdating -> 
        True, ShrinkingDelay -> 10.}, "DefaultOptions" :> {}],
     ImageSizeCache->{612., {299., 308.}},
     SingleEvaluation->True],
    Deinitialization:>None,
    DynamicModuleValues:>{},
    SynchronousInitialization->True,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Animate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellChangeTimes->{
  3.8078493992915573`*^9, 3.8078507308837147`*^9, 3.807850798094117*^9, 
   3.807850844415947*^9, {3.8078512635127068`*^9, 3.807851300431103*^9}, {
   3.807851335657218*^9, 3.8078513597559867`*^9}, 3.8078514101640005`*^9, {
   3.807851458326357*^9, 3.807851484498047*^9}, {3.80785151500107*^9, 
   3.8078515643636894`*^9}, 3.8078516208656235`*^9, 3.807851668156294*^9, 
   3.8079198214218016`*^9, 3.8079299338589106`*^9, 3.80793218839572*^9, {
   3.8079339960906906`*^9, 3.807934123781837*^9}, {3.807934212713357*^9, 
   3.807934304949278*^9}, 3.807940483826453*^9, 3.8079632722383485`*^9},
 CellLabel->"Out[5]=",ExpressionUUID->"5b73b8ad-8bed-46f4-9015-031af63673cc"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["\:0426\:0438\:0440\:043a\:0443\:043b\:044f\:0440\:043d\:044b\:0435 \
\:043a\:0440\:0438\:0432\:044b\:0435", "Section",
 CellChangeTimes->{{3.807572624771587*^9, 3.807572631597833*^9}, {
  3.8075758460187807`*^9, 
  3.8075758555215144`*^9}},ExpressionUUID->"ce11857b-ae64-4dad-8a5e-\
efcf1df30bd3"],

Cell[CellGroupData[{

Cell["\:0414\:0443\:0433\:0430 \:043e\:043a\:0440\:0443\:0436\:043d\:043e\
\:0441\:0442\:0438", "Subsection",
 CellChangeTimes->{{3.807572624771587*^9, 3.807572631597833*^9}, {
  3.8075758460187807`*^9, 3.8075758555215144`*^9}, {3.807575979616717*^9, 
  3.8075759865364003`*^9}},ExpressionUUID->"f499d45e-5250-4e1e-a0c2-\
8944d02b2d1e"],

Cell["\<\
\:0427\:0442\:043e\:0431\:044b \:043f\:043e\:0445\:043e\:0436\:0438\:043c \
\:043e\:0431\:0440\:0430\:0437\:043e\:043c \:043f\:043e\:0441\:0442\:0440\
\:043e\:0438\:0442\:044c \:0434\:0443\:0433\:0443 \:043e\:043a\:0440\:0443\
\:0436\:043d\:043e\:0441\:0442\:0438, \:043d\:0435\:043e\:0431\:0445\:043e\
\:0434\:0438\:043c\:043e \:043e\:043f\:0440\:0435\:0434\:0435\:043b\:0438\
\:0442\:044c \:0441\:043e\:043e\:0442\:0432\:0435\:0442\:0441\:0442\:0432\
\:0443\:044e\:0449\:0443\:044e \:043b\:043e\:0433\:0438\:043a\:0443 \:043f\
\:043e\:0441\:0442\:0440\:043e\:0435\:043d\:0438\:044f - \:043f\:043e \:0430\
\:043d\:0430\:043b\:043e\:0433\:0438\:0438 \:0441 \:0447\:0435\:0440\:0447\
\:0435\:043d\:0438\:0435\:043c \:043e\:043a\:0440\:0443\:0436\:043d\:043e\
\:0441\:0442\:0438 \:0446\:0438\:0440\:043a\:0443\:043b\:0435\:043c.\
\>", "Text",
 CellChangeTimes->{{3.8075758741090164`*^9, 3.80757589707063*^9}, {
   3.8075759371304264`*^9, 3.807575941155696*^9}, {3.8075759774340324`*^9, 
   3.8075760149218616`*^9}, {3.807576080825041*^9, 3.8075761102354164`*^9}, {
   3.8075761447293615`*^9, 3.8075761682978554`*^9}, {3.8075811936427927`*^9, 
   3.8075812097056265`*^9}, 3.8075813760079017`*^9, {3.8078521566191235`*^9, 
   3.807852170285285*^9}, {3.807854203132025*^9, 
   3.8078542032241306`*^9}},ExpressionUUID->"84089a24-bb9c-45c6-a7ba-\
a350285592b7"],

Cell[BoxData[
 RowBox[{
  RowBox[{"ArcSplineAnimator", "[", 
   RowBox[{"a_", ",", "c_", ",", "b_"}], "]"}], ":=", 
  RowBox[{"Module", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{
     "d", ",", "rad", ",", "rbd", ",", "rm", ",", "rp", ",", "v", ",", "argm",
       ",", "args"}], "}"}], ",", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{"d", "=", 
      RowBox[{
       RowBox[{"(", 
        RowBox[{
         RowBox[{
          RowBox[{"(", 
           RowBox[{
            RowBox[{"2", " ", "a"}], "-", "c"}], ")"}], " ", 
          RowBox[{"(", 
           RowBox[{"c", "-", "b"}], ")"}], " ", 
          RowBox[{"Conjugate", "[", "a", "]"}]}], "-", 
         RowBox[{"c", " ", 
          RowBox[{"(", 
           RowBox[{"a", "-", "b"}], ")"}], " ", 
          RowBox[{"Conjugate", "[", "c", "]"}]}], "+", 
         RowBox[{
          RowBox[{"(", 
           RowBox[{"a", "-", "c"}], ")"}], " ", 
          RowBox[{"(", 
           RowBox[{
            RowBox[{"2", " ", "b"}], "-", "c"}], ")"}], " ", 
          RowBox[{"Conjugate", "[", "b", "]"}]}]}], ")"}], "/", 
       RowBox[{"(", 
        RowBox[{
         RowBox[{
          RowBox[{"(", 
           RowBox[{"c", "-", "b"}], ")"}], " ", 
          RowBox[{"Conjugate", "[", "a", "]"}]}], "-", 
         RowBox[{
          RowBox[{"(", 
           RowBox[{"a", "-", "b"}], ")"}], " ", 
          RowBox[{"Conjugate", "[", "c", "]"}]}], "+", 
         RowBox[{
          RowBox[{"(", 
           RowBox[{"a", "-", "c"}], ")"}], " ", 
          RowBox[{"Conjugate", "[", "b", "]"}]}]}], ")"}]}]}], ";", 
     "\[IndentingNewLine]", 
     RowBox[{"rad", "=", 
      RowBox[{"Abs", "[", 
       RowBox[{"a", "-", "d"}], "]"}]}], ";", "\[IndentingNewLine]", 
     RowBox[{"rbd", "=", 
      RowBox[{"Abs", "[", 
       RowBox[{"b", "-", "d"}], "]"}]}], ";", "\[IndentingNewLine]", 
     RowBox[{"rm", "=", 
      RowBox[{"rad", "-", "rbd"}]}], ";", "\[IndentingNewLine]", 
     RowBox[{"rp", "=", 
      RowBox[{"rad", "+", "rbd"}]}], ";", "\[IndentingNewLine]", 
     RowBox[{"v", "=", 
      RowBox[{
       FractionBox["1", "2"], " ", 
       RowBox[{"Sign", "[", 
        RowBox[{"a", "-", "d"}], "]"}]}]}], ";", "\[IndentingNewLine]", 
     RowBox[{"argm", "=", 
      RowBox[{"Arg", "[", 
       FractionBox[
        RowBox[{"a", "-", "d"}], 
        RowBox[{"b", "-", "d"}]], "]"}]}], ";", "\[IndentingNewLine]", 
     RowBox[{"args", "=", 
      RowBox[{"Arg", "[", 
       RowBox[{"-", 
        FractionBox[
         RowBox[{"a", "-", "d"}], 
         RowBox[{"b", "-", "d"}]]}], "]"}]}], ";", "\[IndentingNewLine]", 
     RowBox[{"Animate", "[", 
      RowBox[{
       RowBox[{"ParametricPlot", "[", 
        RowBox[{
         RowBox[{
          RowBox[{
           RowBox[{"{", "\[IndentingNewLine]", "\[IndentingNewLine]", 
            RowBox[{"d", "+", 
             RowBox[{"v", 
              RowBox[{"(", "  ", 
               RowBox[{
                RowBox[{"rp", " ", 
                 SuperscriptBox["\[ExponentialE]", 
                  RowBox[{
                   RowBox[{"-", "\[ImaginaryI]"}], " ", "t", " ", "argm"}]]}],
                 "+", 
                RowBox[{"rm", " ", 
                 SuperscriptBox["\[ExponentialE]", 
                  RowBox[{
                   RowBox[{"-", "\[ImaginaryI]"}], " ", "t", " ", 
                   "args"}]]}]}], ")"}]}]}], "\[IndentingNewLine]", 
            "\[IndentingNewLine]", "}"}], "//", "ReIm"}], "//", "Evaluate"}], 
         ",", 
         RowBox[{"{", 
          RowBox[{"t", ",", "0", ",", "tt"}], "}"}], ",", 
         RowBox[{"PlotRange", "\[Rule]", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"-", "5"}], ",", "11"}], "}"}]}], ",", 
         RowBox[{"PlotStyle", "\[Rule]", 
          RowBox[{"{", 
           RowBox[{"Thick", ",", "Red"}], "}"}]}], ",", 
         RowBox[{"GridLines", "\[Rule]", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{
             RowBox[{"Range", "[", "40", "]"}], "-", "20"}], ",", 
            RowBox[{
             RowBox[{"Range", "[", "40", "]"}], "-", "20"}]}], "}"}]}], ",", 
         "\[IndentingNewLine]", 
         RowBox[{"Epilog", "\[Rule]", 
          RowBox[{"{", "\[IndentingNewLine]", 
           RowBox[{
            RowBox[{"{", 
             RowBox[{
              RowBox[{"PointSize", "[", "0.015", "]"}], ",", 
              RowBox[{"Point", "[", 
               RowBox[{
                RowBox[{"{", 
                 RowBox[{"a", ",", "b", ",", "c", ",", "d"}], "}"}], "//", 
                "ReIm"}], "]"}]}], "}"}], ",", "\[IndentingNewLine]", 
            RowBox[{"{", 
             RowBox[{"Dashed", ",", 
              RowBox[{"Line", "[", 
               RowBox[{"ReIm", "/@", 
                RowBox[{"{", 
                 RowBox[{
                  RowBox[{"{", 
                   RowBox[{
                    RowBox[{
                    RowBox[{"2", "a"}], "-", "c"}], ",", "c"}], "}"}], ",", 
                  RowBox[{"{", 
                   RowBox[{"c", ",", 
                    RowBox[{
                    RowBox[{"2", "b"}], "-", "c"}]}], "}"}]}], "}"}]}], 
               "]"}]}], "}"}], ",", "\[IndentingNewLine]", 
            RowBox[{"{", 
             RowBox[{"Dotted", ",", 
              RowBox[{"Line", "[", 
               RowBox[{"ReIm", "/@", 
                RowBox[{"{", 
                 RowBox[{
                  RowBox[{"{", 
                   RowBox[{
                    RowBox[{
                    RowBox[{"2", "d"}], "-", "a"}], ",", "a"}], "}"}], ",", 
                  RowBox[{"{", 
                   RowBox[{
                    RowBox[{
                    RowBox[{"2", "d"}], "-", "b"}], ",", "b"}], "}"}]}], 
                 "}"}]}], "]"}]}], "}"}], ",", "\[IndentingNewLine]", 
            RowBox[{"{", 
             RowBox[{"Black", ",", 
              RowBox[{"Opacity", "[", "0.15", "]"}], ",", "Thin", ",", 
              "\[IndentingNewLine]", 
              RowBox[{"Circle", "[", 
               RowBox[{
                RowBox[{"d", "//", "ReIm"}], ",", "rad"}], "]"}], ",", 
              RowBox[{"Circle", "[", 
               RowBox[{
                RowBox[{"d", "//", "ReIm"}], ",", "rbd"}], "]"}], ",", 
              RowBox[{"If", "[", 
               RowBox[{
                RowBox[{
                 RowBox[{
                  RowBox[{"Im", "[", 
                   RowBox[{"a", "-", "c"}], "]"}], "\[Equal]", "0"}], "&&", 
                 RowBox[{
                  RowBox[{"Re", "[", 
                   RowBox[{"c", "-", "b"}], "]"}], "\[Equal]", "0"}]}], ",", 
                RowBox[{"Circle", "[", 
                 RowBox[{
                  RowBox[{"d", "//", "ReIm"}], ",", 
                  RowBox[{"{", 
                   RowBox[{"rbd", ",", "rad"}], "}"}]}], "]"}]}], "]"}]}], 
             "}"}], ",", "\[IndentingNewLine]", 
            RowBox[{"{", 
             RowBox[{"Black", ",", 
              RowBox[{"Arrow", "[", 
               RowBox[{"ReIm", "/@", 
                RowBox[{"{", 
                 RowBox[{
                  RowBox[{"{", 
                   RowBox[{"d", ",", 
                    RowBox[{"d", "+", 
                    RowBox[{
                    FractionBox["1", "2"], " ", 
                    SuperscriptBox["\[ExponentialE]", 
                    RowBox[{
                    RowBox[{"-", "\[ImaginaryI]"}], " ", "tt", " ", 
                    RowBox[{"Arg", "[", 
                    FractionBox[
                    RowBox[{
                    RowBox[{"-", "a"}], "+", "d"}], 
                    RowBox[{"b", "-", "d"}]], "]"}]}]], " ", 
                    RowBox[{"(", 
                    RowBox[{"rad", "-", "rbd"}], ")"}], " ", 
                    RowBox[{"Sign", "[", 
                    RowBox[{"a", "-", "d"}], "]"}]}]}]}], "}"}], ",", 
                  "\[IndentingNewLine]", 
                  RowBox[{"{", 
                   RowBox[{
                    RowBox[{"d", "+", 
                    RowBox[{
                    FractionBox["1", "2"], " ", 
                    SuperscriptBox["\[ExponentialE]", 
                    RowBox[{
                    RowBox[{"-", "\[ImaginaryI]"}], " ", "tt", " ", 
                    RowBox[{"Arg", "[", 
                    FractionBox[
                    RowBox[{
                    RowBox[{"-", "a"}], "+", "d"}], 
                    RowBox[{"b", "-", "d"}]], "]"}]}]], " ", 
                    RowBox[{"(", 
                    RowBox[{"rad", "-", "rbd"}], ")"}], " ", 
                    RowBox[{"Sign", "[", 
                    RowBox[{"a", "-", "d"}], "]"}]}]}], ",", 
                    RowBox[{"d", "+", 
                    RowBox[{
                    FractionBox["1", "2"], 
                    RowBox[{"Sign", "[", 
                    RowBox[{"a", "-", "d"}], "]"}], 
                    RowBox[{"(", " ", 
                    RowBox[{
                    RowBox[{
                    SuperscriptBox["\[ExponentialE]", 
                    RowBox[{
                    RowBox[{"-", "\[ImaginaryI]"}], " ", "tt", " ", 
                    RowBox[{"Arg", "[", 
                    FractionBox[
                    RowBox[{
                    RowBox[{"-", "a"}], "+", "d"}], 
                    RowBox[{"b", "-", "d"}]], "]"}]}]], " ", 
                    RowBox[{"(", 
                    RowBox[{"rad", "-", "rbd"}], ")"}]}], " ", "+", " ", 
                    RowBox[{
                    SuperscriptBox["\[ExponentialE]", 
                    RowBox[{
                    RowBox[{"-", "\[ImaginaryI]"}], " ", "tt", " ", 
                    RowBox[{"Arg", "[", 
                    FractionBox[
                    RowBox[{"a", "-", "d"}], 
                    RowBox[{"b", "-", "d"}]], "]"}]}]], " ", 
                    RowBox[{"(", 
                    RowBox[{"rad", "+", "rbd"}], ")"}]}]}], ")"}]}]}]}], 
                   "}"}]}], "}"}]}], "]"}]}], "\[IndentingNewLine]", "}"}], 
            ",", "\[IndentingNewLine]", 
            RowBox[{"Style", "[", 
             RowBox[{
              RowBox[{"{", "\[IndentingNewLine]", 
               RowBox[{
                RowBox[{"Text", "[", 
                 RowBox[{"\"\<a\>\"", ",", 
                  RowBox[{
                   RowBox[{"a", "+", "0.2", "+", 
                    RowBox[{"0.3", "I"}]}], "//", "ReIm"}], ",", "Left"}], 
                 "]"}], ",", "\[IndentingNewLine]", 
                RowBox[{"Text", "[", 
                 RowBox[{"\"\<b\>\"", ",", 
                  RowBox[{
                   RowBox[{"b", "+", "0.2", "+", 
                    RowBox[{"0.3", "I"}]}], "//", "ReIm"}], ",", "Left"}], 
                 "]"}], ",", "\[IndentingNewLine]", 
                RowBox[{"Text", "[", 
                 RowBox[{"\"\<c\>\"", ",", 
                  RowBox[{
                   RowBox[{"c", "+", "0.2", "+", 
                    RowBox[{"0.3", "I"}]}], "//", "ReIm"}], ",", "Left"}], 
                 "]"}], ",", "\[IndentingNewLine]", 
                RowBox[{"Text", "[", 
                 RowBox[{"\"\<d\>\"", ",", 
                  RowBox[{
                   RowBox[{"d", "-", "0.2", "+", 
                    RowBox[{"0.3", "I"}]}], "//", "ReIm"}], ",", "Right"}], 
                 "]"}]}], "}"}], ",", "\[IndentingNewLine]", "Medium"}], 
             "]"}]}], "\[IndentingNewLine]", "}"}]}]}], "\[IndentingNewLine]",
         "]"}], ",", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"tt", ",", "1"}], "}"}], ",", "0.0001", ",", "1"}], "}"}], 
       ",", 
       RowBox[{"AnimationRunning", "\[Rule]", "False"}], ",", 
       RowBox[{"AnimationRate", "\[Rule]", "0.3"}]}], "]"}]}]}], 
   "]"}]}]], "Input",
 CellOpen->False,
 CellChangeTimes->{{3.8074893313819747`*^9, 3.807489338141035*^9}, 
   3.8074894606550345`*^9, {3.8074894954490166`*^9, 3.807489533620043*^9}, {
   3.8074897348660035`*^9, 3.8074897397749987`*^9}, {3.807491097949003*^9, 
   3.807491100613024*^9}, {3.807491277243037*^9, 3.807491313282011*^9}, {
   3.807492061953015*^9, 3.8074920965759993`*^9}, {3.807493687529023*^9, 
   3.8074937000339727`*^9}, 3.8074942562219725`*^9, {3.807495552870989*^9, 
   3.807495555700001*^9}, {3.8074956154070024`*^9, 3.8074956197300353`*^9}, {
   3.8074956789389963`*^9, 3.807495720088977*^9}, {3.807495750589035*^9, 
   3.8074957583049865`*^9}, {3.8074957901609993`*^9, 
   3.8074957950109987`*^9}, {3.80749583383003*^9, 3.807495839906014*^9}, {
   3.8074958719770107`*^9, 3.8074958916440473`*^9}, {3.807495939396974*^9, 
   3.8074959630280294`*^9}, {3.807496000639985*^9, 3.8074960568800383`*^9}, {
   3.8074961765639725`*^9, 3.8074961791949997`*^9}, {3.8074965751021447`*^9, 
   3.8074965775421896`*^9}, {3.807496999841172*^9, 3.8074970033081756`*^9}, {
   3.8074971416052065`*^9, 3.807497190344207*^9}, {3.807497224624174*^9, 
   3.8074972460501947`*^9}, {3.8074973287511487`*^9, 3.807497332215208*^9}, {
   3.8075057328831825`*^9, 3.8075057436872053`*^9}, {3.8075073801111746`*^9, 
   3.807507389444192*^9}, {3.8075074379491754`*^9, 3.8075074421592054`*^9}, {
   3.8075075388511744`*^9, 3.807507539270178*^9}, 3.80750904454317*^9, {
   3.8075095746271753`*^9, 3.807509578034173*^9}, {3.807509863263178*^9, 
   3.8075098702131743`*^9}, {3.8075099259761705`*^9, 3.807509926602207*^9}, {
   3.807510753023153*^9, 3.807510753531164*^9}, {3.8075111726722727`*^9, 
   3.8075111727592144`*^9}, {3.807511224035274*^9, 3.8075112588522205`*^9}, {
   3.807511394076268*^9, 3.8075113962182727`*^9}, {3.807511775474304*^9, 
   3.8075117980103054`*^9}, {3.8075118300833063`*^9, 
   3.8075118379093027`*^9}, {3.807511952685272*^9, 3.8075119734132442`*^9}, {
   3.807512004372273*^9, 3.8075120682442474`*^9}, 3.8075154273489847`*^9, 
   3.8075764408267837`*^9, {3.807576497290362*^9, 3.807576500492569*^9}, {
   3.807576531644169*^9, 3.807576551991184*^9}, {3.807576759836686*^9, 
   3.807576761452892*^9}, {3.807576805360749*^9, 3.8075768200324664`*^9}, 
   3.80757700090773*^9, {3.807577248024516*^9, 3.8075772811734066`*^9}, {
   3.80757731821632*^9, 3.807577324168175*^9}, {3.807577373296923*^9, 
   3.807577408482456*^9}, {3.8075775096107335`*^9, 3.807577551653309*^9}, 
   3.8075778112596326`*^9, {3.80757975912523*^9, 3.807579789128828*^9}, {
   3.807580429901566*^9, 3.807580518746414*^9}, {3.807595181967725*^9, 
   3.8075951869867277`*^9}, {3.8079203000407624`*^9, 
   3.8079203725875344`*^9}, {3.8079204298533387`*^9, 3.807920455871874*^9}, 
   3.8079205128803153`*^9, {3.807920588026986*^9, 3.8079206157423496`*^9}, {
   3.8079216157928743`*^9, 3.807921624614682*^9}, {3.8079216617934933`*^9, 
   3.8079217108662367`*^9}, {3.8079220693187685`*^9, 
   3.8079220875059156`*^9}, {3.8079225784032845`*^9, 
   3.8079225804627604`*^9}, {3.8079247584788384`*^9, 
   3.8079247608773746`*^9}, {3.8079403305800176`*^9, 
   3.8079403741644287`*^9}, {3.8079405092312503`*^9, 3.8079405161570015`*^9}},
 Background->RGBColor[0.88, 1, 0.88],
 CellLabel->"In[6]:=",ExpressionUUID->"7d9537f0-2c72-4146-a0a1-43022c3ca575"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ArcSplineAnimator", "[", 
  RowBox[{
   RowBox[{"0", "+", 
    RowBox[{"10", "I"}]}], ",", 
   RowBox[{"10", "+", 
    RowBox[{"10", "I"}]}], ",", 
   RowBox[{"10", "+", 
    RowBox[{"0", "I"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.807577428851818*^9, 3.8075774439736004`*^9}, {
   3.807577474052821*^9, 3.8075774767482405`*^9}, 3.807580035161723*^9, {
   3.8079215384724584`*^9, 3.807921565207325*^9}, {3.8079227407058363`*^9, 
   3.8079227654485726`*^9}},
 CellLabel->"In[7]:=",ExpressionUUID->"884e08f2-a822-4b79-959b-cea87d563102"],

Cell[BoxData[
 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`tt$$ = 1, Typeset`show$$ = True, 
    Typeset`bookmarkList$$ = {}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{{
       Hold[$CellContext`tt$$], 1}, 0.0001, 1}}, Typeset`size$$ = {
    540., {243., 251.}}, Typeset`update$$ = 0, Typeset`initDone$$, 
    Typeset`skipInitDone$$ = True, $CellContext`tt$3043$$ = 0}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     1, StandardForm, "Variables" :> {$CellContext`tt$$ = 1}, 
      "ControllerVariables" :> {
        Hold[$CellContext`tt$$, $CellContext`tt$3043$$, 0]}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, "Body" :> ParametricPlot[
        Evaluate[
         ReIm[{$CellContext`d$3042 + $CellContext`v$3042 \
($CellContext`rp$3042 
              E^((-I) $CellContext`t $CellContext`argm$3042) + \
$CellContext`rm$3042 
              E^((-I) $CellContext`t $CellContext`args$3042))}]], \
{$CellContext`t, 0, $CellContext`tt$$}, PlotRange -> {-5, 11}, 
        PlotStyle -> {Thick, Red}, 
        GridLines -> {Range[40] - 20, Range[40] - 20}, Epilog -> {{
           PointSize[0.015], 
           Point[
            ReIm[{
              Complex[0, 10], 10, 
              Complex[10, 10], $CellContext`d$3042}]]}, {Dashed, 
           Line[
            Map[ReIm, {{2 Complex[0, 10] - Complex[10, 10], 
               Complex[10, 10]}, {
               Complex[10, 10], 2 10 - Complex[10, 10]}}]]}, {Dotted, 
           Line[
            Map[ReIm, {{2 $CellContext`d$3042 - Complex[0, 10], 
               Complex[0, 10]}, {2 $CellContext`d$3042 - 10, 10}}]]}, {Black, 
           Opacity[0.15], Thin, 
           Circle[
            ReIm[$CellContext`d$3042], $CellContext`rad$3042], 
           Circle[
            ReIm[$CellContext`d$3042], $CellContext`rbd$3042], 
           If[
            And[
            Im[Complex[0, 10] - Complex[10, 10]] == 0, 
             Re[Complex[10, 10] - 10] == 0], 
            Circle[
             
             ReIm[$CellContext`d$3042], {$CellContext`rbd$3042, \
$CellContext`rad$3042}]]}, {Black, 
           Arrow[
            Map[
            ReIm, {{$CellContext`d$3042, $CellContext`d$3042 + (1/2) 
                E^((-I) $CellContext`tt$$ 
                  Arg[(-Complex[0, 10] + $CellContext`d$3042)/(
                    10 - $CellContext`d$3042)]) ($CellContext`rad$3042 - \
$CellContext`rbd$3042) 
                Sign[Complex[
                   0, 10] - $CellContext`d$3042]}, {$CellContext`d$3042 + (1/
                 2) E^((-I) $CellContext`tt$$ 
                  Arg[(-Complex[0, 10] + $CellContext`d$3042)/(
                    10 - $CellContext`d$3042)]) ($CellContext`rad$3042 - \
$CellContext`rbd$3042) 
                Sign[Complex[
                   0, 10] - $CellContext`d$3042], $CellContext`d$3042 + (1/2) 
                Sign[Complex[0, 10] - $CellContext`d$3042] (
                 E^((-I) $CellContext`tt$$ 
                    Arg[(-Complex[0, 10] + $CellContext`d$3042)/(
                    10 - $CellContext`d$3042)]) ($CellContext`rad$3042 - \
$CellContext`rbd$3042) + 
                 E^((-I) $CellContext`tt$$ 
                    Arg[(Complex[0, 10] - $CellContext`d$3042)/(
                    10 - $CellContext`d$3042)]) ($CellContext`rad$3042 + \
$CellContext`rbd$3042))}}]]}, 
          Style[{
            Text["a", 
             ReIm[Complex[0, 10] + 0.2 + 0.3 I], Left], 
            Text["b", 
             ReIm[10 + 0.2 + 0.3 I], Left], 
            Text["c", 
             ReIm[Complex[10, 10] + 0.2 + 0.3 I], Left], 
            Text["d", 
             ReIm[$CellContext`d$3042 - 0.2 + 0.3 I], Right]}, Medium]}], 
      "Specifications" :> {{{$CellContext`tt$$, 1}, 0.0001, 1, 
         AnimationRunning -> False, AnimationRate -> 0.3, 
         AppearanceElements -> {
          "ProgressSlider", "PlayPauseButton", "FasterSlowerButtons", 
           "DirectionButton"}}}, 
      "Options" :> {
       ControlType -> Animator, AppearanceElements -> None, DefaultBaseStyle -> 
        "Animate", DefaultLabelStyle -> "AnimateLabel", SynchronousUpdating -> 
        True, ShrinkingDelay -> 10.}, "DefaultOptions" :> {}],
     ImageSizeCache->{612., {299., 308.}},
     SingleEvaluation->True],
    Deinitialization:>None,
    DynamicModuleValues:>{},
    SynchronousInitialization->True,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Animate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellChangeTimes->{{3.807921543191105*^9, 3.807921567759363*^9}, 
   3.807921626926284*^9, 3.8079216666339297`*^9, {3.807921697411184*^9, 
   3.807921712206094*^9}, 3.8079220719611597`*^9, 3.80792258464928*^9, {
   3.80792274350826*^9, 3.8079227660524073`*^9}, 3.807929933931785*^9, 
   3.8079321884664946`*^9, {3.807940335851379*^9, 3.807940377750342*^9}, {
   3.8079404838952875`*^9, 3.807940518194167*^9}, 3.80796327235428*^9},
 CellLabel->"Out[7]=",ExpressionUUID->"a5b7a239-6042-4fd0-9be3-08d23fd5c76d"]
}, Open  ]],

Cell["\<\
\:0418\:0437\:043d\:0430\:0447\:0430\:043b\:044c\:043d\:043e \:043d\:0430\
\:043c \:043d\:0435\:0438\:0437\:0432\:0435\:0441\:0442\:0435\:043d \:0446\
\:0435\:043d\:0442\:0440 \:043e\:043a\:0440\:0443\:0436\:043d\:043e\:0441\
\:0442\:0438 d - \:043e\:043d \
\:043d\:0430\:0445\:043e\:0434\:0438\:0442\:0441\:044f \:0447\:0435\:0440\
\:0435\:0437 \:043f\:0435\:0440\:0435\:0441\:0435\:0447\:0435\:043d\:0438\
\:0435 \:043f\:0435\:0440\:043f\:0435\:043d\:0434\:0438\:043a\:0443\:043b\
\:044f\:0440\:043e\:0432 \:043a \:043a\:0430\:0441\:0430\:0442\:0435\:043b\
\:044c\:043d\:044b\:043c \:0432 \:0442\:043e\:0447\:043a\:0430\:0445 a \:0438 \
b (\:0434\:0430\:043b\:0435\:0435 \
\:0443\:0437\:043b\:043e\:0432\:044b\:0445); \:0441\:0430\:043c\:0438 \:0436\
\:0435 \:043a\:0430\:0441\:0430\:0442\:0435\:043b\:044c\:043d\:044b\:0435 \
\:0437\:0430\:0434\:0430\:044e\:0442\:0441\:044f \:0441 \:043f\:043e\:043c\
\:043e\:0449\:044c\:044e \:0442\:043e\:0447\:043a\:0438 c (\:0434\:0430\:043b\
\:0435\:0435 \:043d\:0430\:043f\:0440\:0430\:0432\:043b\:044f\:044e\:0449\
\:0435\:0439).  \:0414\:043b\:044f \:043f\:043e\:0441\:0442\:0440\:043e\:0435\
\:043d\:0438\:044f \:043f\:0440\:043e\:0438\:0437\:0432\:043e\:043b\:044c\
\:043d\:043e\:0439 \:0434\:0443\:0433\:0438 \:043e\:043a\:0440\:0443\:0436\
\:043d\:043e\:0441\:0442\:0438 (\:043c\:0435\:043d\:044c\:0448\:0435\:0439 \
180\[Degree]) \:0434\:043e\:0441\:0442\:0430\:0442\:043e\:0447\:043d\:043e, \
\:0447\:0442\:043e\:0431\:044b \:0440\:0430\:0441\:0441\:0442\:043e\:044f\
\:043d\:0438\:044f \:043e\:0442 \:043d\:0430\:043f\:0440\:0430\:0432\:043b\
\:044f\:044e\:0449\:0435\:0439 \:0442\:043e\:0447\:043a\:0438 \:0434\:043e \
\:0443\:0437\:043b\:043e\:0432\:044b\:0445 \:0431\:044b\:043b\:0438 \:043e\
\:0434\:0438\:043d\:0430\:043a\:043e\:0432\:044b\:043c\:0438.\
\>", "Text",
 CellChangeTimes->{{3.807922955158493*^9, 3.8079229737937775`*^9}, {
   3.807923004231864*^9, 3.807923059860383*^9}, {3.80792310308971*^9, 
   3.807923162089424*^9}, {3.8079232100011435`*^9, 3.8079232200061164`*^9}, {
   3.8079233838042984`*^9, 3.807923456360033*^9}, {3.807923516564192*^9, 
   3.807923517295723*^9}, 3.807923946922923*^9, {3.80792437557374*^9, 
   3.807924422181376*^9}, {3.807924468752318*^9, 3.807924471304674*^9}, {
   3.807924592173832*^9, 3.8079246520262294`*^9}, 
   3.8079516458825097`*^9},ExpressionUUID->"855168b8-7039-4ed5-9913-\
add1c20912e9"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ArcSplineAnimator", "[", 
  RowBox[{
   RowBox[{
    RowBox[{"+", "2"}], "+", 
    RowBox[{"10", "I"}]}], ",", 
   RowBox[{"9", "+", 
    RowBox[{"9", "I"}]}], ",", 
   RowBox[{"10", "+", 
    RowBox[{"2", "I"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.807922797956376*^9, 3.807922839660008*^9}, {
  3.8079232998341675`*^9, 3.807923309105331*^9}, {3.807924493145489*^9, 
  3.807924503633954*^9}},
 CellLabel->"In[8]:=",ExpressionUUID->"c0362817-2ada-4a83-811f-81c2d1d7aa24"],

Cell[BoxData[
 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`tt$$ = 1, Typeset`show$$ = True, 
    Typeset`bookmarkList$$ = {}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{{
       Hold[$CellContext`tt$$], 1}, 0.0001, 1}}, Typeset`size$$ = {
    540., {243., 251.}}, Typeset`update$$ = 0, Typeset`initDone$$, 
    Typeset`skipInitDone$$ = True, $CellContext`tt$3092$$ = 0}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     1, StandardForm, "Variables" :> {$CellContext`tt$$ = 1}, 
      "ControllerVariables" :> {
        Hold[$CellContext`tt$$, $CellContext`tt$3092$$, 0]}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, "Body" :> ParametricPlot[
        Evaluate[
         ReIm[{$CellContext`d$3091 + $CellContext`v$3091 \
($CellContext`rp$3091 
              E^((-I) $CellContext`t $CellContext`argm$3091) + \
$CellContext`rm$3091 
              E^((-I) $CellContext`t $CellContext`args$3091))}]], \
{$CellContext`t, 0, $CellContext`tt$$}, PlotRange -> {-5, 11}, 
        PlotStyle -> {Thick, Red}, 
        GridLines -> {Range[40] - 20, Range[40] - 20}, Epilog -> {{
           PointSize[0.015], 
           Point[
            ReIm[{
              Complex[2, 10], 
              Complex[10, 2], 
              Complex[9, 9], $CellContext`d$3091}]]}, {Dashed, 
           Line[
            Map[ReIm, {{2 Complex[2, 10] - Complex[9, 9], 
               Complex[9, 9]}, {
               Complex[9, 9], 2 Complex[10, 2] - Complex[9, 9]}}]]}, {Dotted, 
           Line[
            Map[ReIm, {{2 $CellContext`d$3091 - Complex[2, 10], 
               Complex[2, 10]}, {2 $CellContext`d$3091 - Complex[10, 2], 
               Complex[10, 2]}}]]}, {Black, 
           Opacity[0.15], Thin, 
           Circle[
            ReIm[$CellContext`d$3091], $CellContext`rad$3091], 
           Circle[
            ReIm[$CellContext`d$3091], $CellContext`rbd$3091], 
           If[
            And[
            Im[Complex[2, 10] - Complex[9, 9]] == 0, 
             Re[Complex[9, 9] - Complex[10, 2]] == 0], 
            Circle[
             
             ReIm[$CellContext`d$3091], {$CellContext`rbd$3091, \
$CellContext`rad$3091}]]}, {Black, 
           Arrow[
            Map[
            ReIm, {{$CellContext`d$3091, $CellContext`d$3091 + (1/2) 
                E^((-I) $CellContext`tt$$ 
                  Arg[(-Complex[2, 10] + $CellContext`d$3091)/(
                    Complex[
                    10, 2] - $CellContext`d$3091)]) ($CellContext`rad$3091 - \
$CellContext`rbd$3091) 
                Sign[Complex[
                   2, 10] - $CellContext`d$3091]}, {$CellContext`d$3091 + (1/
                 2) E^((-I) $CellContext`tt$$ 
                  Arg[(-Complex[2, 10] + $CellContext`d$3091)/(
                    Complex[
                    10, 2] - $CellContext`d$3091)]) ($CellContext`rad$3091 - \
$CellContext`rbd$3091) 
                Sign[Complex[
                   2, 10] - $CellContext`d$3091], $CellContext`d$3091 + (1/2) 
                Sign[Complex[2, 10] - $CellContext`d$3091] (
                 E^((-I) $CellContext`tt$$ 
                    Arg[(-Complex[2, 10] + $CellContext`d$3091)/(
                    Complex[
                    10, 2] - $CellContext`d$3091)]) ($CellContext`rad$3091 - \
$CellContext`rbd$3091) + 
                 E^((-I) $CellContext`tt$$ 
                    Arg[(Complex[2, 10] - $CellContext`d$3091)/(
                    Complex[
                    10, 2] - $CellContext`d$3091)]) ($CellContext`rad$3091 + \
$CellContext`rbd$3091))}}]]}, 
          Style[{
            Text["a", 
             ReIm[Complex[2, 10] + 0.2 + 0.3 I], Left], 
            Text["b", 
             ReIm[Complex[10, 2] + 0.2 + 0.3 I], Left], 
            Text["c", 
             ReIm[Complex[9, 9] + 0.2 + 0.3 I], Left], 
            Text["d", 
             ReIm[$CellContext`d$3091 - 0.2 + 0.3 I], Right]}, Medium]}], 
      "Specifications" :> {{{$CellContext`tt$$, 1}, 0.0001, 1, 
         AnimationRunning -> False, AnimationRate -> 0.3, 
         AppearanceElements -> {
          "ProgressSlider", "PlayPauseButton", "FasterSlowerButtons", 
           "DirectionButton"}}}, 
      "Options" :> {
       ControlType -> Animator, AppearanceElements -> None, DefaultBaseStyle -> 
        "Animate", DefaultLabelStyle -> "AnimateLabel", SynchronousUpdating -> 
        True, ShrinkingDelay -> 10.}, "DefaultOptions" :> {}],
     ImageSizeCache->{612., {299., 308.}},
     SingleEvaluation->True],
    Deinitialization:>None,
    DynamicModuleValues:>{},
    SynchronousInitialization->True,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Animate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellChangeTimes->{{3.8079227723808947`*^9, 3.807922840323493*^9}, {
   3.807923301796664*^9, 3.807923309717376*^9}, {3.8079244950838475`*^9, 
   3.807924504236788*^9}, 3.8079299339924984`*^9, 3.8079321884967976`*^9, 
   3.807940483956222*^9, 3.80796327242334*^9},
 CellLabel->"Out[8]=",ExpressionUUID->"04864f77-e797-4f25-86f4-6342e7205c77"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["\:0414\:0443\:0433\:0430 \:044d\:043b\:043b\:0438\:043f\:0441\:0430", \
"Subsection",
 CellChangeTimes->{{3.807572624771587*^9, 3.807572631597833*^9}, {
  3.8075758460187807`*^9, 3.8075758555215144`*^9}, {3.807575979616717*^9, 
  3.8075759865364003`*^9}, {3.807583717418314*^9, 
  3.8075837203883476`*^9}},ExpressionUUID->"817455ac-19c5-4ce3-ad03-\
2a421bc0617f"],

Cell["\<\
\:041f\:043e\:0441\:0442\:0440\:043e\:0438\:0442\:044c \:0434\:0443\:0433\
\:0443 \:044d\:043b\:043b\:0438\:043f\:0441\:0430 \:0443\:0436\:0435 \:043f\
\:043e\:0441\:043b\:043e\:0436\:043d\:0435\:0435 - \:043f\:043e\:0442\:0440\
\:0435\:0431\:0443\:0435\:0442\:0441\:044f \:0434\:0432\:0430 \:0432\:0435\
\:043a\:0442\:043e\:0440\:0430, \:0432\:0440\:0430\:0449\:0430\:044e\:0449\
\:0438\:0445\:0441\:044f \:0432 \:0440\:0430\:0437\:043d\:044b\:0435 \:0441\
\:0442\:043e\:0440\:043e\:043d\:044b (\:043f\:043e\:0434\:0440\:043e\:0431\
\:043d\:0435\:0435 \:0437\:0434\:0435\:0441\:044c \
[https://en.wikipedia.org/wiki/Ellipse#Paper_strip_methods])\
\>", "Text",
 CellChangeTimes->{{3.807583503721346*^9, 3.8075835757793455`*^9}, {
  3.8075836208483133`*^9, 3.8075836220653143`*^9}, {3.8075838038593135`*^9, 
  3.8075838047223144`*^9}, {3.8075839941843133`*^9, 
  3.8075839953403454`*^9}},ExpressionUUID->"f4fee635-d0ef-409c-a0ca-\
0cac355c0e3e"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ArcSplineAnimator", "[", 
  RowBox[{
   RowBox[{"0", "+", 
    RowBox[{"6", "I"}]}], ",", 
   RowBox[{"10", "+", 
    RowBox[{"6", "I"}]}], ",", 
   RowBox[{"10", "+", 
    RowBox[{"0", "I"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.807577428851818*^9, 3.8075774439736004`*^9}, {
   3.807577474052821*^9, 3.8075774767482405`*^9}, 3.807580035161723*^9, {
   3.8079215384724584`*^9, 3.807921565207325*^9}, {3.8079217441558228`*^9, 
   3.80792174577219*^9}, {3.8079221143110514`*^9, 3.807922115414117*^9}, {
   3.807923610146968*^9, 3.807923611219632*^9}, {3.807923646696267*^9, 
   3.807923656436971*^9}},
 CellLabel->"In[9]:=",ExpressionUUID->"cbaacdfa-9db5-4ac3-90cc-438fd8ed2578"],

Cell[BoxData[
 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`tt$$ = 1, Typeset`show$$ = True, 
    Typeset`bookmarkList$$ = {}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{{
       Hold[$CellContext`tt$$], 1}, 0.0001, 1}}, Typeset`size$$ = {
    540., {243., 251.}}, Typeset`update$$ = 0, Typeset`initDone$$, 
    Typeset`skipInitDone$$ = True, $CellContext`tt$3141$$ = 0}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     1, StandardForm, "Variables" :> {$CellContext`tt$$ = 1}, 
      "ControllerVariables" :> {
        Hold[$CellContext`tt$$, $CellContext`tt$3141$$, 0]}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, "Body" :> ParametricPlot[
        Evaluate[
         ReIm[{$CellContext`d$3140 + $CellContext`v$3140 \
($CellContext`rp$3140 
              E^((-I) $CellContext`t $CellContext`argm$3140) + \
$CellContext`rm$3140 
              E^((-I) $CellContext`t $CellContext`args$3140))}]], \
{$CellContext`t, 0, $CellContext`tt$$}, PlotRange -> {-5, 11}, 
        PlotStyle -> {Thick, Red}, 
        GridLines -> {Range[40] - 20, Range[40] - 20}, Epilog -> {{
           PointSize[0.015], 
           Point[
            ReIm[{
              Complex[0, 6], 10, 
              Complex[10, 6], $CellContext`d$3140}]]}, {Dashed, 
           Line[
            Map[ReIm, {{2 Complex[0, 6] - Complex[10, 6], 
               Complex[10, 6]}, {
               Complex[10, 6], 2 10 - Complex[10, 6]}}]]}, {Dotted, 
           Line[
            Map[ReIm, {{2 $CellContext`d$3140 - Complex[0, 6], 
               Complex[0, 6]}, {2 $CellContext`d$3140 - 10, 10}}]]}, {Black, 
           Opacity[0.15], Thin, 
           Circle[
            ReIm[$CellContext`d$3140], $CellContext`rad$3140], 
           Circle[
            ReIm[$CellContext`d$3140], $CellContext`rbd$3140], 
           If[
            And[
            Im[Complex[0, 6] - Complex[10, 6]] == 0, Re[Complex[10, 6] - 10] == 
             0], 
            Circle[
             
             ReIm[$CellContext`d$3140], {$CellContext`rbd$3140, \
$CellContext`rad$3140}]]}, {Black, 
           Arrow[
            Map[
            ReIm, {{$CellContext`d$3140, $CellContext`d$3140 + (1/2) 
                E^((-I) $CellContext`tt$$ 
                  Arg[(-Complex[0, 6] + $CellContext`d$3140)/(
                    10 - $CellContext`d$3140)]) ($CellContext`rad$3140 - \
$CellContext`rbd$3140) 
                Sign[Complex[
                   0, 6] - $CellContext`d$3140]}, {$CellContext`d$3140 + (1/2)
                  E^((-I) $CellContext`tt$$ 
                  Arg[(-Complex[0, 6] + $CellContext`d$3140)/(
                    10 - $CellContext`d$3140)]) ($CellContext`rad$3140 - \
$CellContext`rbd$3140) 
                Sign[Complex[
                   0, 6] - $CellContext`d$3140], $CellContext`d$3140 + (1/2) 
                Sign[Complex[0, 6] - $CellContext`d$3140] (
                 E^((-I) $CellContext`tt$$ 
                    Arg[(-Complex[0, 6] + $CellContext`d$3140)/(
                    10 - $CellContext`d$3140)]) ($CellContext`rad$3140 - \
$CellContext`rbd$3140) + 
                 E^((-I) $CellContext`tt$$ 
                    Arg[(Complex[0, 6] - $CellContext`d$3140)/(
                    10 - $CellContext`d$3140)]) ($CellContext`rad$3140 + \
$CellContext`rbd$3140))}}]]}, 
          Style[{
            Text["a", 
             ReIm[Complex[0, 6] + 0.2 + 0.3 I], Left], 
            Text["b", 
             ReIm[10 + 0.2 + 0.3 I], Left], 
            Text["c", 
             ReIm[Complex[10, 6] + 0.2 + 0.3 I], Left], 
            Text["d", 
             ReIm[$CellContext`d$3140 - 0.2 + 0.3 I], Right]}, Medium]}], 
      "Specifications" :> {{{$CellContext`tt$$, 1}, 0.0001, 1, 
         AnimationRunning -> False, AnimationRate -> 0.3, 
         AppearanceElements -> {
          "ProgressSlider", "PlayPauseButton", "FasterSlowerButtons", 
           "DirectionButton"}}}, 
      "Options" :> {
       ControlType -> Animator, AppearanceElements -> None, DefaultBaseStyle -> 
        "Animate", DefaultLabelStyle -> "AnimateLabel", SynchronousUpdating -> 
        True, ShrinkingDelay -> 10.}, "DefaultOptions" :> {}],
     ImageSizeCache->{612., {299., 308.}},
     SingleEvaluation->True],
    Deinitialization:>None,
    DynamicModuleValues:>{},
    SynchronousInitialization->True,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Animate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellChangeTimes->{
  3.807921746517578*^9, {3.807922075804858*^9, 3.8079221166992297`*^9}, 
   3.8079225877978387`*^9, 3.8079236119336205`*^9, {3.8079236484474015`*^9, 
   3.8079236570184455`*^9}, 3.807924777660839*^9, 3.807929934053196*^9, 
   3.807932188537282*^9, 3.8079404840192103`*^9, 3.8079433467215796`*^9, 
   3.8079632725236483`*^9},
 CellLabel->"Out[9]=",ExpressionUUID->"4b40c55c-8730-4a7e-a2c4-c40e6af2191d"]
}, Open  ]],

Cell["\<\
\:0418\:0441\:043f\:043e\:043b\:044c\:0437\:0443\:044f \:043e\:0437\:0432\
\:0443\:0447\:0435\:043d\:043d\:044b\:0439 \:0432\:044b\:0448\:0435 \:0441\
\:043f\:043e\:0441\:043e\:0431 \:043d\:0430\:0445\:043e\:0436\:0434\:0435\
\:043d\:0438\:044f \:0442\:043e\:0447\:043a\:0438 d, \:043c\:044b \
\:0443\:0436\:0435 \:043d\:0435 \:043c\:043e\:0436\:0435\:043c \:043f\:043e\
\:0441\:0442\:0440\:043e\:0438\:0442\:044c \:043f\:0440\:043e\:0438\:0437\
\:0432\:043e\:043b\:044c\:043d\:0443\:044e \:0434\:0443\:0433\:0443 \:044d\
\:043b\:043b\:0438\:043f\:0441\:0430 - \:0442\:043e\:043b\:044c\:043a\:043e \
\:043b\:0438\:0448\:044c \:043e\:0442 0\[Degree] \:0434\:043e 90\[Degree] (\
\:0432 \:0442\:043e\:043c \:0447\:0438\:0441\:043b\:0435 \:0438 \:043f\:043e\
\:0432\:0451\:0440\:043d\:0443\:0442\:0443\:044e \:043d\:0430 \:043f\:0440\
\:043e\:0438\:0437\:0432\:043e\:043b\:044c\:043d\:044b\:0439 \:0443\:0433\
\:043e\:043b).\
\>", "Text",
 CellChangeTimes->{{3.807924851758486*^9, 3.8079249345781984`*^9}, {
  3.8079249726324153`*^9, 3.807924983407111*^9}, {3.8079250497794847`*^9, 
  3.807925082080838*^9}, {3.807930104789781*^9, 3.807930156249784*^9}, {
  3.80793018915506*^9, 
  3.807930215671012*^9}},ExpressionUUID->"15c15dc1-247a-4082-be86-\
3107f3e5b6dd"]
}, Open  ]],

Cell[CellGroupData[{

Cell["\:0414\:0443\:0433\:0430 \:0433\:0438\:043f\:043e\:0442\:0440\:043e\
\:0445\:043e\:0438\:0434\:044b", "Subsection",
 CellChangeTimes->{{3.807572624771587*^9, 3.807572631597833*^9}, {
  3.8075758460187807`*^9, 3.8075758555215144`*^9}, {3.807575979616717*^9, 
  3.8075759865364003`*^9}, {3.807583717418314*^9, 3.8075837203883476`*^9}, {
  3.8075837555293226`*^9, 3.8075837606783133`*^9}, {3.8079344841102424`*^9, 
  3.8079344846927085`*^9}, {3.807934655547287*^9, 
  3.807934685199432*^9}},ExpressionUUID->"63dedec8-19fa-4482-9161-\
34c792cd9261"],

Cell["\<\
\:0417\:0430\:0434\:0430\:0432 \:0443\:0441\:043b\:043e\:0432\:0438\:0435, \
\:0447\:0442\:043e \:0432 \:043d\:0430\:0447\:0430\:043b\:0435 \:0438 \:043a\
\:043e\:043d\:0446\:0435 \:0447\:0435\:0440\:0447\:0435\:043d\:0438\:044f \
\:0432\:0435\:043a\:0442\:043e\:0440\:044b \:0434\:043e\:043b\:0436\:043d\
\:044b \:043b\:0435\:0436\:0430\:0442\:044c \:043d\:0430 \:043e\:0434\:043d\
\:043e\:0439 \:043f\:0440\:044f\:043c\:043e\:0439, \:043c\:044b \:043f\:043e\
\:043b\:0443\:0447\:0438\:043c \:0434\:0443\:0433\:0443 \:0433\:0438\:043f\
\:043e\:0442\:0440\:043e\:0445\:043e\:0438\:0434\:044b \
[https://en.wikipedia.org/wiki/Hypotrochoid] \:0432\:043e \:0432\:0441\:0435\
\:0445 \:043e\:0441\:0442\:0430\:043b\:044c\:043d\:044b\:0445 \:0441\:043b\
\:0443\:0447\:0430\:044f\:0445. \:042d\:0442\:043e \:0443\:0441\:043b\:043e\
\:0432\:0438\:0435 \:043d\:0435 \:0441\:043b\:0443\:0447\:0430\:0439\:043d\
\:043e \:0438 (\:043f\:043e\:043c\:0438\:043c\:043e \:043e\:0434\:043d\:043e\
\:0437\:043d\:0430\:0447\:043d\:043e\:0433\:043e \:043e\:043f\:0440\:0435\
\:0434\:0435\:043b\:0435\:043d\:0438\:044f \:043a\:0440\:0438\:0432\:043e\
\:0439) \:0433\:0430\:0440\:0430\:043d\:0442\:0438\:0440\:0443\:0435\:0442 \
\:0441\:043e\:0432\:043f\:0430\:0434\:0435\:043d\:0438\:0435 \:043a\:0430\
\:0441\:0430\:0442\:0435\:043b\:044c\:043d\:044b\:0445 \:0432 \:0443\:0437\
\:043b\:043e\:0432\:044b\:0445 \:0442\:043e\:0447\:043a\:0430\:0445. \:041a\
\:0430\:043a \:0441\:043b\:0435\:0434\:0441\:0442\:0432\:0438\:0435, \:0443\
\:0433\:043b\:043e\:0432\:044b\:0435 \:043f\:0443\:0442\:0438, \:043a\:043e\
\:0442\:043e\:0440\:044b\:0435 \:043f\:0440\:043e\:0445\:043e\:0434\:044f\
\:0442 \:043e\:0431\:0430 \:0432\:0435\:043a\:0442\:043e\:0440\:0430, \:0441\
\:0442\:0430\:043d\:0443\:0442 \:0440\:0430\:0437\:043d\:044b\:043c\:0438, \
\:043d\:043e \:0432 \:0441\:0443\:043c\:043c\:0435 \:043f\:043e-\:043f\:0440\
\:0435\:0436\:043d\:0435\:043c\:0443 \:0431\:0443\:0434\:0443\:0442 \:0434\
\:0430\:0432\:0430\:0442\:044c 180\[Degree].\
\>", "Text",
 CellChangeTimes->{{3.8075837782733135`*^9, 3.8075837847473135`*^9}, {
   3.8075838731643133`*^9, 3.8075838953753405`*^9}, {3.807583963616313*^9, 
   3.8075839730893135`*^9}, {3.807584005553345*^9, 3.807584050224345*^9}, {
   3.8075987857667246`*^9, 3.8075988248237286`*^9}, {3.807933495608396*^9, 
   3.8079335049435363`*^9}, {3.8079336162735367`*^9, 3.807933634131217*^9}, {
   3.8079337109579563`*^9, 3.807933716021324*^9}, {3.807933806873022*^9, 
   3.8079338521640816`*^9}, {3.807934407039408*^9, 3.807934424487983*^9}, {
   3.807934493010127*^9, 3.8079344944202833`*^9}, 3.807934535942916*^9, {
   3.807934581601948*^9, 3.8079346357661347`*^9}, {3.8079347023052073`*^9, 
   3.8079347301090183`*^9}, {3.8079347676308317`*^9, 
   3.8079347917428646`*^9}, {3.807934822229532*^9, 3.807934850846489*^9}, {
   3.8079349125407686`*^9, 3.8079349178164067`*^9}, {3.8079349530543694`*^9, 
   3.807935041244884*^9}, {3.807935143460951*^9, 3.8079352070435243`*^9}, {
   3.807935239715865*^9, 
   3.807935281728553*^9}},ExpressionUUID->"d1c9670b-7fa6-4729-bc66-\
68879013d832"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ArcSplineAnimator", "[", 
  RowBox[{"0", ",", 
   RowBox[{"5", "+", 
    RowBox[{"9", "I"}]}], ",", 
   RowBox[{"9", "+", 
    RowBox[{"2", "I"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.8079261303134613`*^9, 3.8079261362308073`*^9}},
 CellLabel->"In[10]:=",ExpressionUUID->"7495adfc-5bbc-4be4-bdb3-a1319b0c7a5d"],

Cell[BoxData[
 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`tt$$ = 1, Typeset`show$$ = True, 
    Typeset`bookmarkList$$ = {}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{{
       Hold[$CellContext`tt$$], 1}, 0.0001, 1}}, Typeset`size$$ = {
    540., {243., 251.}}, Typeset`update$$ = 0, Typeset`initDone$$, 
    Typeset`skipInitDone$$ = True, $CellContext`tt$3190$$ = 0}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     1, StandardForm, "Variables" :> {$CellContext`tt$$ = 1}, 
      "ControllerVariables" :> {
        Hold[$CellContext`tt$$, $CellContext`tt$3190$$, 0]}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, "Body" :> ParametricPlot[
        Evaluate[
         ReIm[{$CellContext`d$3189 + $CellContext`v$3189 \
($CellContext`rp$3189 
              E^((-I) $CellContext`t $CellContext`argm$3189) + \
$CellContext`rm$3189 
              E^((-I) $CellContext`t $CellContext`args$3189))}]], \
{$CellContext`t, 0, $CellContext`tt$$}, PlotRange -> {-5, 11}, 
        PlotStyle -> {Thick, Red}, 
        GridLines -> {Range[40] - 20, Range[40] - 20}, Epilog -> {{
           PointSize[0.015], 
           Point[
            ReIm[{0, 
              Complex[9, 2], 
              Complex[5, 9], $CellContext`d$3189}]]}, {Dashed, 
           Line[
            Map[ReIm, {{2 0 - Complex[5, 9], 
               Complex[5, 9]}, {
               Complex[5, 9], 2 Complex[9, 2] - Complex[5, 9]}}]]}, {Dotted, 
           Line[
            Map[
            ReIm, {{2 $CellContext`d$3189 - 0, 0}, {
              2 $CellContext`d$3189 - Complex[9, 2], 
               Complex[9, 2]}}]]}, {Black, 
           Opacity[0.15], Thin, 
           Circle[
            ReIm[$CellContext`d$3189], $CellContext`rad$3189], 
           Circle[
            ReIm[$CellContext`d$3189], $CellContext`rbd$3189], 
           If[
            And[
            Im[0 - Complex[5, 9]] == 0, Re[Complex[5, 9] - Complex[9, 2]] == 
             0], 
            Circle[
             
             ReIm[$CellContext`d$3189], {$CellContext`rbd$3189, \
$CellContext`rad$3189}]]}, {Black, 
           Arrow[
            Map[
            ReIm, {{$CellContext`d$3189, $CellContext`d$3189 + (1/2) 
                E^((-I) $CellContext`tt$$ 
                  Arg[(-0 + $CellContext`d$3189)/(
                    Complex[
                    9, 2] - $CellContext`d$3189)]) ($CellContext`rad$3189 - \
$CellContext`rbd$3189) 
                Sign[0 - $CellContext`d$3189]}, {$CellContext`d$3189 + (1/2) 
                E^((-I) $CellContext`tt$$ 
                  Arg[(-0 + $CellContext`d$3189)/(
                    Complex[
                    9, 2] - $CellContext`d$3189)]) ($CellContext`rad$3189 - \
$CellContext`rbd$3189) 
                Sign[0 - $CellContext`d$3189], $CellContext`d$3189 + (1/2) 
                Sign[0 - $CellContext`d$3189] (
                 E^((-I) $CellContext`tt$$ 
                    Arg[(-0 + $CellContext`d$3189)/(
                    Complex[
                    9, 2] - $CellContext`d$3189)]) ($CellContext`rad$3189 - \
$CellContext`rbd$3189) + 
                 E^((-I) $CellContext`tt$$ 
                    Arg[(0 - $CellContext`d$3189)/(
                    Complex[
                    9, 2] - $CellContext`d$3189)]) ($CellContext`rad$3189 + \
$CellContext`rbd$3189))}}]]}, 
          Style[{
            Text["a", 
             ReIm[0 + 0.2 + 0.3 I], Left], 
            Text["b", 
             ReIm[Complex[9, 2] + 0.2 + 0.3 I], Left], 
            Text["c", 
             ReIm[Complex[5, 9] + 0.2 + 0.3 I], Left], 
            Text["d", 
             ReIm[$CellContext`d$3189 - 0.2 + 0.3 I], Right]}, Medium]}], 
      "Specifications" :> {{{$CellContext`tt$$, 1}, 0.0001, 1, 
         AnimationRunning -> False, AnimationRate -> 0.3, 
         AppearanceElements -> {
          "ProgressSlider", "PlayPauseButton", "FasterSlowerButtons", 
           "DirectionButton"}}}, 
      "Options" :> {
       ControlType -> Animator, AppearanceElements -> None, DefaultBaseStyle -> 
        "Animate", DefaultLabelStyle -> "AnimateLabel", SynchronousUpdating -> 
        True, ShrinkingDelay -> 10.}, "DefaultOptions" :> {}],
     ImageSizeCache->{612., {299., 308.}},
     SingleEvaluation->True],
    Deinitialization:>None,
    DynamicModuleValues:>{},
    SynchronousInitialization->True,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Animate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellChangeTimes->{
  3.8079223446402535`*^9, 3.8079225928041887`*^9, 3.807926090046502*^9, {
   3.807926130882117*^9, 3.8079261367295485`*^9}, 3.807929934103865*^9, 
   3.8079321885575953`*^9, 3.8079404840700264`*^9, 3.8079632725549374`*^9},
 CellLabel->"Out[10]=",ExpressionUUID->"79de7066-78ad-4e60-a2d7-2d2c205c93fb"]
}, Open  ]],

Cell["\<\
\:041a\:0430\:043a \:0438\:0437\:043c\:0435\:043d\:044f\:0435\:0442\:0441\
\:044f \:0444\:043e\:0440\:043c\:0430 \:043a\:0440\:0438\:0432\:043e\:0439 \
\:0432 \:0437\:0430\:0432\:0438\:0441\:0438\:043c\:043e\:0441\:0442\:0438 \
\:043e\:0442 \:043f\:043e\:043b\:043e\:0436\:0435\:043d\:0438\:044f \:043d\
\:0430\:043f\:0440\:0430\:0432\:043b\:044f\:044e\:0449\:0435\:0439 \:0442\
\:043e\:0447\:043a\:0438, \:043c\:043e\:0436\:043d\:043e \:043f\:043e\:0441\
\:043c\:043e\:0442\:0440\:0435\:0442\:044c \:043d\:0430 \:0441\:043b\:0435\
\:0434\:0443\:044e\:0449\:0435\:0439 \:0430\:043d\:0438\:043c\:0430\:0446\
\:0438\:0438:\
\>", "Text",
 CellChangeTimes->{{3.8079361125477724`*^9, 
  3.80793615752809*^9}},ExpressionUUID->"bff1c4c1-614e-4d69-a618-\
5720be5131ae"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Animate", "[", "\[IndentingNewLine]", 
  RowBox[{
   RowBox[{"Module", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{
      "a", ",", "b", ",", "c", ",", "d", ",", "rad", ",", "rbd", ",", "rm", 
       ",", "rp", ",", "v", ",", "argm", ",", "args"}], "}"}], ",", 
     "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{"a", "=", 
       RowBox[{"-", "5"}]}], ";", "\[IndentingNewLine]", 
      RowBox[{"c", "=", 
       RowBox[{
        RowBox[{"(", 
         RowBox[{"11", "+", 
          RowBox[{"0", "I"}]}], ")"}], 
        SuperscriptBox["I", 
         RowBox[{"4", "tt"}]]}]}], ";", "\[IndentingNewLine]", 
      RowBox[{"b", "=", "5"}], ";", "\[IndentingNewLine]", 
      RowBox[{"d", "=", 
       RowBox[{
        RowBox[{"(", 
         RowBox[{
          RowBox[{
           RowBox[{"(", 
            RowBox[{
             RowBox[{"2", " ", "a"}], "-", "c"}], ")"}], " ", 
           RowBox[{"(", 
            RowBox[{"c", "-", "b"}], ")"}], " ", 
           RowBox[{"Conjugate", "[", "a", "]"}]}], "-", 
          RowBox[{"c", " ", 
           RowBox[{"(", 
            RowBox[{"a", "-", "b"}], ")"}], " ", 
           RowBox[{"Conjugate", "[", "c", "]"}]}], "+", 
          RowBox[{
           RowBox[{"(", 
            RowBox[{"a", "-", "c"}], ")"}], " ", 
           RowBox[{"(", 
            RowBox[{
             RowBox[{"2", " ", "b"}], "-", "c"}], ")"}], " ", 
           RowBox[{"Conjugate", "[", "b", "]"}]}]}], ")"}], "/", 
        RowBox[{"(", 
         RowBox[{
          RowBox[{
           RowBox[{"(", 
            RowBox[{"c", "-", "b"}], ")"}], " ", 
           RowBox[{"Conjugate", "[", "a", "]"}]}], "-", 
          RowBox[{
           RowBox[{"(", 
            RowBox[{"a", "-", "b"}], ")"}], " ", 
           RowBox[{"Conjugate", "[", "c", "]"}]}], "+", 
          RowBox[{
           RowBox[{"(", 
            RowBox[{"a", "-", "c"}], ")"}], " ", 
           RowBox[{"Conjugate", "[", "b", "]"}]}]}], ")"}]}]}], ";", 
      "\[IndentingNewLine]", 
      RowBox[{"rad", "=", 
       RowBox[{"Abs", "[", 
        RowBox[{"a", "-", "d"}], "]"}]}], ";", "\[IndentingNewLine]", 
      RowBox[{"rbd", "=", 
       RowBox[{"Abs", "[", 
        RowBox[{"b", "-", "d"}], "]"}]}], ";", "\[IndentingNewLine]", 
      RowBox[{"rm", "=", 
       RowBox[{"rad", "-", "rbd"}]}], ";", "\[IndentingNewLine]", 
      RowBox[{"rp", "=", 
       RowBox[{"rad", "+", "rbd"}]}], ";", "\[IndentingNewLine]", 
      RowBox[{"v", "=", 
       RowBox[{
        FractionBox["1", "2"], " ", 
        RowBox[{"Sign", "[", 
         RowBox[{"a", "-", "d"}], "]"}]}]}], ";", "\[IndentingNewLine]", 
      RowBox[{"argm", "=", 
       RowBox[{"Arg", "[", 
        FractionBox[
         RowBox[{"a", "-", "d"}], 
         RowBox[{"b", "-", "d"}]], "]"}]}], ";", "\[IndentingNewLine]", 
      RowBox[{"args", "=", 
       RowBox[{"Arg", "[", 
        RowBox[{"-", 
         FractionBox[
          RowBox[{"a", "-", "d"}], 
          RowBox[{"b", "-", "d"}]]}], "]"}]}], ";", "\[IndentingNewLine]", 
      RowBox[{"ParametricPlot", "[", 
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{"{", "\[IndentingNewLine]", "\[IndentingNewLine]", 
           RowBox[{"d", "+", 
            RowBox[{"v", 
             RowBox[{"(", "  ", 
              RowBox[{
               RowBox[{"rp", " ", 
                SuperscriptBox["\[ExponentialE]", 
                 RowBox[{
                  RowBox[{"-", "\[ImaginaryI]"}], " ", "t", " ", "argm"}]]}], 
               "+", 
               RowBox[{"rm", " ", 
                SuperscriptBox["\[ExponentialE]", 
                 RowBox[{
                  RowBox[{"-", "\[ImaginaryI]"}], " ", "t", " ", 
                  "args"}]]}]}], ")"}]}]}], "\[IndentingNewLine]", 
           "\[IndentingNewLine]", "}"}], "//", "ReIm"}], "//", "Evaluate"}], 
        ",", 
        RowBox[{"{", 
         RowBox[{"t", ",", "0", ",", "1"}], "}"}], ",", 
        RowBox[{"PlotRange", "\[Rule]", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{"-", "11"}], ",", "11"}], "}"}]}], ",", 
        RowBox[{"PlotStyle", "\[Rule]", 
         RowBox[{"{", 
          RowBox[{"Thick", ",", "Red"}], "}"}]}], ",", 
        RowBox[{"GridLines", "\[Rule]", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{
            RowBox[{"Range", "[", "40", "]"}], "-", "20"}], ",", 
           RowBox[{
            RowBox[{"Range", "[", "40", "]"}], "-", "20"}]}], "}"}]}], ",", 
        "\[IndentingNewLine]", 
        RowBox[{"Epilog", "\[Rule]", 
         RowBox[{"{", "\[IndentingNewLine]", 
          RowBox[{
           RowBox[{"{", 
            RowBox[{
             RowBox[{"PointSize", "[", "0.015", "]"}], ",", 
             RowBox[{"Point", "[", 
              RowBox[{"ReIm", "/@", 
               RowBox[{"{", 
                RowBox[{"a", ",", "b", ",", "c"}], "}"}]}], "]"}]}], "}"}], 
           ",", "\[IndentingNewLine]", 
           RowBox[{"{", 
            RowBox[{
             RowBox[{"PointSize", "[", "0.01", "]"}], ",", 
             RowBox[{"Point", "[", 
              RowBox[{"ReIm", "/@", 
               RowBox[{"{", "d", "}"}]}], "]"}]}], "}"}], ",", 
           "\[IndentingNewLine]", 
           RowBox[{"{", 
            RowBox[{"Dashed", ",", 
             RowBox[{"Line", "[", 
              RowBox[{"ReIm", "/@", 
               RowBox[{"{", 
                RowBox[{
                 RowBox[{"{", 
                  RowBox[{
                   RowBox[{
                    RowBox[{"2", "a"}], "-", "c"}], ",", "c"}], "}"}], ",", 
                 RowBox[{"{", 
                  RowBox[{"c", ",", 
                   RowBox[{
                    RowBox[{"2", "b"}], "-", "c"}]}], "}"}]}], "}"}]}], 
              "]"}]}], "}"}], ",", "\[IndentingNewLine]", 
           RowBox[{"{", 
            RowBox[{"Dotted", ",", 
             RowBox[{"Line", "[", 
              RowBox[{"ReIm", "/@", 
               RowBox[{"{", 
                RowBox[{
                 RowBox[{"{", 
                  RowBox[{
                   RowBox[{
                    RowBox[{"2", "d"}], "-", "a"}], ",", "a"}], "}"}], ",", 
                 RowBox[{"{", 
                  RowBox[{
                   RowBox[{
                    RowBox[{"2", "d"}], "-", "b"}], ",", "b"}], "}"}]}], 
                "}"}]}], "]"}]}], "}"}], ",", "\[IndentingNewLine]", 
           RowBox[{"{", 
            RowBox[{"Black", ",", 
             RowBox[{"Opacity", "[", "0.15", "]"}], ",", "Thin", ",", 
             RowBox[{"Circle", "[", 
              RowBox[{
               RowBox[{"d", "//", "ReIm"}], ",", "rad"}], "]"}], ",", 
             RowBox[{"Circle", "[", 
              RowBox[{
               RowBox[{"d", "//", "ReIm"}], ",", "rbd"}], "]"}]}], "}"}], ",",
            "\[IndentingNewLine]", 
           RowBox[{"{", 
            RowBox[{"Black", ",", 
             RowBox[{"Opacity", "[", "0.15", "]"}], ",", "Dashed", ",", 
             "Thin", ",", 
             RowBox[{"Circle", "[", 
              RowBox[{
               RowBox[{"0", "//", "ReIm"}], ",", "11"}], "]"}]}], "}"}]}], 
          "\[IndentingNewLine]", "}"}]}]}], "\[IndentingNewLine]", "]"}]}]}], 
    "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"tt", ",", "0.01", ",", "1"}], "}"}], ",", 
   RowBox[{"AnimationRunning", "\[Rule]", "False"}], ",", 
   RowBox[{"AnimationRate", "\[Rule]", ".1"}]}], "]"}]], "Input",
 CellOpen->False,
 CellChangeTimes->{{3.80751246704524*^9, 3.807512474551221*^9}, {
   3.807512830623244*^9, 3.807512997377219*^9}, {3.807513082120242*^9, 
   3.8075131727072396`*^9}, {3.807513205924226*^9, 3.8075132243972807`*^9}, {
   3.80751327834725*^9, 3.807513351560279*^9}, {3.8075134043642187`*^9, 
   3.8075134102572556`*^9}, {3.807513548392222*^9, 3.8075135659952545`*^9}, {
   3.8075153564427795`*^9, 3.8075153640520945`*^9}, {3.807515679833352*^9, 
   3.80751575014584*^9}, {3.8075172991699743`*^9, 3.8075173028464923`*^9}, {
   3.807517415178837*^9, 3.8075174153104544`*^9}, {3.8075181437375813`*^9, 
   3.80751816187613*^9}, {3.8075182256410046`*^9, 3.807518252009247*^9}, {
   3.807518292114674*^9, 3.8075184403553276`*^9}, {3.8075189855252433`*^9, 
   3.8075189860428567`*^9}, 3.8075778851184454`*^9, {3.8075779208307333`*^9, 
   3.807577925635852*^9}, {3.807577963308027*^9, 3.8075780103340793`*^9}, {
   3.8075780404779773`*^9, 3.8075780638704524`*^9}, {3.807578124748721*^9, 
   3.807578136795001*^9}, {3.807578172885457*^9, 3.807578180456811*^9}, {
   3.807578211678213*^9, 3.8075782172228374`*^9}, {3.8075787237717533`*^9, 
   3.8075787245383005`*^9}, {3.8075788854994717`*^9, 3.807578901976491*^9}, {
   3.8075790777247515`*^9, 3.807579079249488*^9}, {3.8075883090493565`*^9, 
   3.8075883140633554`*^9}, {3.807594086055725*^9, 3.8075940889017253`*^9}, {
   3.8075946339667287`*^9, 3.8075947275817575`*^9}, {3.8075947677577286`*^9, 
   3.8075948353777246`*^9}, {3.8075949894437246`*^9, 3.807595128639757*^9}, {
   3.8075952055927525`*^9, 3.8075952462907286`*^9}, {3.807595340626728*^9, 
   3.807595366211728*^9}, {3.807595444517727*^9, 3.8075954718407283`*^9}, {
   3.8079197478048077`*^9, 3.8079197608190584`*^9}, {3.8079197950789795`*^9, 
   3.8079198948327484`*^9}, {3.8079199275492864`*^9, 
   3.8079199323658895`*^9}, {3.8079199793113904`*^9, 
   3.8079199816525145`*^9}, {3.8079201099875603`*^9, 
   3.8079201153684273`*^9}, {3.8079205015183897`*^9, 3.807920504776738*^9}, {
   3.807935471558691*^9, 3.8079355273210897`*^9}, {3.807935592962201*^9, 
   3.807935622648652*^9}, {3.8079356674341745`*^9, 3.807935720138917*^9}, 
   3.8079358216461573`*^9, {3.807936473392175*^9, 3.807936538450639*^9}, {
   3.8079404417802696`*^9, 3.807940444246632*^9}, {3.8079405393608727`*^9, 
   3.807940540621183*^9}},
 Background->GrayLevel[0.85],
 CellLabel->"In[11]:=",ExpressionUUID->"9cd70617-e2c0-43b4-a37e-a34d1f6d9e8e"],

Cell[BoxData[
 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`tt$$ = 0.01, Typeset`show$$ = True, 
    Typeset`bookmarkList$$ = {}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{
      Hold[$CellContext`tt$$], 0.01, 1}}, Typeset`size$$ = {
    540., {239., 247.}}, Typeset`update$$ = 0, Typeset`initDone$$, 
    Typeset`skipInitDone$$ = True, $CellContext`tt$3238$$ = 0}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     1, StandardForm, "Variables" :> {$CellContext`tt$$ = 0.01}, 
      "ControllerVariables" :> {
        Hold[$CellContext`tt$$, $CellContext`tt$3238$$, 0]}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, "Body" :> 
      Module[{$CellContext`a$, $CellContext`b$, $CellContext`c$, \
$CellContext`d$, $CellContext`rad$, $CellContext`rbd$, $CellContext`rm$, \
$CellContext`rp$, $CellContext`v$, $CellContext`argm$, $CellContext`args$}, \
$CellContext`a$ = -5; $CellContext`c$ = (11 + 0 I) 
          I^(4 $CellContext`tt$$); $CellContext`b$ = 
         5; $CellContext`d$ = ((
             2 $CellContext`a$ - $CellContext`c$) ($CellContext`c$ - \
$CellContext`b$) 
            Conjugate[$CellContext`a$] - $CellContext`c$ ($CellContext`a$ - \
$CellContext`b$) 
           Conjugate[$CellContext`c$] + ($CellContext`a$ - $CellContext`c$) (
             2 $CellContext`b$ - $CellContext`c$) 
            Conjugate[$CellContext`b$])/(($CellContext`c$ - $CellContext`b$) 
           Conjugate[$CellContext`a$] - ($CellContext`a$ - $CellContext`b$) 
          Conjugate[$CellContext`c$] + ($CellContext`a$ - $CellContext`c$) 
           Conjugate[$CellContext`b$]); $CellContext`rad$ = 
         Abs[$CellContext`a$ - $CellContext`d$]; $CellContext`rbd$ = 
         Abs[$CellContext`b$ - $CellContext`d$]; $CellContext`rm$ = \
$CellContext`rad$ - $CellContext`rbd$; $CellContext`rp$ = $CellContext`rad$ + \
$CellContext`rbd$; $CellContext`v$ = (1/2) 
          Sign[$CellContext`a$ - $CellContext`d$]; $CellContext`argm$ = 
         Arg[($CellContext`a$ - $CellContext`d$)/($CellContext`b$ - \
$CellContext`d$)]; $CellContext`args$ = 
         Arg[-(($CellContext`a$ - $CellContext`d$)/($CellContext`b$ - \
$CellContext`d$))]; ParametricPlot[
          Evaluate[
           
           ReIm[{$CellContext`d$ + $CellContext`v$ ($CellContext`rp$ 
                E^((-I) $CellContext`t $CellContext`argm$) + $CellContext`rm$ 
                E^((-I) $CellContext`t $CellContext`args$))}]], \
{$CellContext`t, 0, 1}, PlotRange -> {-11, 11}, PlotStyle -> {Thick, Red}, 
          GridLines -> {Range[40] - 20, Range[40] - 20}, Epilog -> {{
             PointSize[0.015], 
             Point[
              Map[
              ReIm, {$CellContext`a$, $CellContext`b$, $CellContext`c$}]]}, {
             PointSize[0.01], 
             Point[
              Map[ReIm, {$CellContext`d$}]]}, {Dashed, 
             Line[
              Map[
              ReIm, {{2 $CellContext`a$ - $CellContext`c$, $CellContext`c$}, \
{$CellContext`c$, 2 $CellContext`b$ - $CellContext`c$}}]]}, {Dotted, 
             Line[
              Map[
              ReIm, {{2 $CellContext`d$ - $CellContext`a$, $CellContext`a$}, {
                2 $CellContext`d$ - $CellContext`b$, $CellContext`b$}}]]}, {
            Black, 
             Opacity[0.15], Thin, 
             Circle[
              ReIm[$CellContext`d$], $CellContext`rad$], 
             Circle[
              ReIm[$CellContext`d$], $CellContext`rbd$]}, {Black, 
             Opacity[0.15], Dashed, Thin, 
             Circle[
              ReIm[0], 11]}}]], 
      "Specifications" :> {{$CellContext`tt$$, 0.01, 1, AnimationRunning -> 
         False, AnimationRate -> 0.1, 
         AppearanceElements -> {
          "ProgressSlider", "PlayPauseButton", "FasterSlowerButtons", 
           "DirectionButton"}}}, 
      "Options" :> {
       ControlType -> Animator, AppearanceElements -> None, DefaultBaseStyle -> 
        "Animate", DefaultLabelStyle -> "AnimateLabel", SynchronousUpdating -> 
        True, ShrinkingDelay -> 10.}, "DefaultOptions" :> {}],
     ImageSizeCache->{612., {295., 304.}},
     SingleEvaluation->True],
    Deinitialization:>None,
    DynamicModuleValues:>{},
    SynchronousInitialization->True,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Animate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellChangeTimes->{{3.807935816448188*^9, 3.807935845283128*^9}, {
   3.8079365125090837`*^9, 3.807936538714134*^9}, 3.807940484130797*^9, 
   3.8079405412688246`*^9, 3.807963272655244*^9},
 CellLabel->"Out[11]=",ExpressionUUID->"83694f99-e107-4f03-87e5-deb18125f426"]
}, Open  ]]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["\:0410\:043b\:0433\:043e\:0440\:0438\:0442\:043c", "Section",
 CellChangeTimes->{{3.807572624771587*^9, 3.807572631597833*^9}, {
  3.8075758460187807`*^9, 3.8075758555215144`*^9}, {3.807584182211512*^9, 
  3.807584185869512*^9}},ExpressionUUID->"c23234b3-9960-4250-a703-\
74678a5225db"],

Cell["\<\
\:041f\:043e\:0441\:043a\:043e\:043b\:044c\:043a\:0443 \:0437\:0434\:0435\
\:0441\:044c \:043c\:044b \:0438\:043c\:0435\:0435\:043c \:0432\:0440\:0430\
\:0449\:0435\:043d\:0438\:044f \:043d\:0430 \:0434\:0432\:0443\:043c\:0435\
\:0440\:043d\:043e\:0439 \:043f\:043b\:043e\:0441\:043a\:043e\:0441\:0442\
\:0438, \:043c\:0430\:0442\:0435\:043c\:0430\:0442\:0438\:043a\:0443 \:043f\
\:043e\:0441\:0442\:0440\:043e\:0435\:043d\:0438\:044f \:044d\:0442\:0438\
\:0445 \:043a\:0440\:0438\:0432\:044b\:0445 \:0443\:0434\:043e\:0431\:043d\
\:043e \:043e\:043f\:0438\:0441\:044b\:0432\:0430\:0442\:044c \:0447\:0435\
\:0440\:0435\:0437 \:043a\:043e\:043c\:043f\:043b\:0435\:043a\:0441\:043d\
\:044b\:0435 \:0447\:0438\:0441\:043b\:0430.

1) \:043d\:0430\:0445\:043e\:0434\:0438\:043c \:0442\:043e\:0447\:043a\:0443 \
\:043f\:0435\:0440\:0435\:0441\:0435\:0447\:0435\:043d\:0438\:044f \:043d\
\:043e\:0440\:043c\:0430\:043b\:0435\:0439 \:043a\:0430\:0441\:0430\:0442\
\:0435\:043b\:044c\:043d\:044b\:0445, \:043f\:0440\:043e\:0432\:0435\:0434\
\:0451\:043d\:043d\:044b\:0445 \:043e\:0442 \:043d\:0430\:043f\:0440\:0430\
\:0432\:043b\:044f\:044e\:0449\:0435\:0439 \:0442\:043e\:0447\:043a\:0438 \
\:043a \:0443\:0437\:043b\:043e\:0432\:044b\:043c:\
\>", "Text",
 CellChangeTimes->{{3.807584214865512*^9, 3.807584371759514*^9}, {
  3.8079263409219284`*^9, 3.807926412395576*^9}, {3.807946134790189*^9, 
  3.807946205641096*^9}, {3.8079462434301643`*^9, 3.8079462822084584`*^9}, {
  3.80794631582202*^9, 
  3.807946317712719*^9}},ExpressionUUID->"e4711ec0-8f17-4d87-ac8f-\
96fc916a0e64"],

Cell[BoxData[
 RowBox[{"d", "=", 
  RowBox[{
   RowBox[{"(", 
    RowBox[{
     RowBox[{
      RowBox[{"(", 
       RowBox[{
        RowBox[{"2", " ", "a"}], "-", "c"}], ")"}], " ", 
      RowBox[{"(", 
       RowBox[{"c", "-", "b"}], ")"}], " ", 
      RowBox[{"Conjugate", "[", "a", "]"}]}], "-", 
     RowBox[{"c", " ", 
      RowBox[{"(", 
       RowBox[{"a", "-", "b"}], ")"}], " ", 
      RowBox[{"Conjugate", "[", "c", "]"}]}], "+", 
     RowBox[{
      RowBox[{"(", 
       RowBox[{"a", "-", "c"}], ")"}], " ", 
      RowBox[{"(", 
       RowBox[{
        RowBox[{"2", " ", "b"}], "-", "c"}], ")"}], " ", 
      RowBox[{"Conjugate", "[", "b", "]"}]}]}], ")"}], "/", 
   RowBox[{"(", 
    RowBox[{
     RowBox[{
      RowBox[{"(", 
       RowBox[{"c", "-", "b"}], ")"}], " ", 
      RowBox[{"Conjugate", "[", "a", "]"}]}], "-", 
     RowBox[{
      RowBox[{"(", 
       RowBox[{"a", "-", "b"}], ")"}], " ", 
      RowBox[{"Conjugate", "[", "c", "]"}]}], "+", 
     RowBox[{
      RowBox[{"(", 
       RowBox[{"a", "-", "c"}], ")"}], " ", 
      RowBox[{"Conjugate", "[", "b", "]"}]}]}], ")"}]}]}]], "Input",
 Evaluatable->False,ExpressionUUID->"278fe31d-205d-4da6-adad-313922294add"],

Cell["\<\
(\:0437\:0434\:0435\:0441\:044c \:0437\:0432\:0451\:0437\:0434\:043e\:0447\
\:043a\:0430 \:043e\:0437\:043d\:0430\:0447\:0430\:0435\:0442 \:043a\:043e\
\:043c\:043f\:043b\:0435\:043a\:0441\:043d\:043e\:0435 \:0441\:043e\:043f\
\:0440\:044f\:0436\:0435\:043d\:0438\:0435). 

2) \:0437\:043d\:0430\:044f d, \:043d\:0430\:0445\:043e\:0434\:0438\:043c \
\:0434\:043b\:0438\:043d\:044b \:043d\:043e\:0440\:043c\:0430\:043b\:0435\
\:0439\
\>", "Text",
 CellChangeTimes->{{3.807585533270509*^9, 3.807585555967513*^9}, {
  3.807587965843359*^9, 3.8075879820033555`*^9}, {3.8079463197707596`*^9, 
  3.8079463213217745`*^9}, {3.8079463608701525`*^9, 3.80794637879678*^9}, {
  3.807946437179636*^9, 
  3.8079464395140743`*^9}},ExpressionUUID->"464f9d5e-e145-4069-a4f0-\
8cadd45d98ab"],

Cell[BoxData[{
 RowBox[{
  SubscriptBox["r", "ad"], "=", 
  RowBox[{"Abs", "[", 
   RowBox[{"a", "-", "d"}], "]"}]}], "\[IndentingNewLine]", 
 RowBox[{
  SubscriptBox["r", "bd"], "=", 
  RowBox[{"Abs", "[", 
   RowBox[{"b", "-", "d"}], "]"}]}]}], "Input",
 Evaluatable->False,
 CellChangeTimes->{{3.8075880257963552`*^9, 
  3.807588044042359*^9}},ExpressionUUID->"95f3f375-c0fc-4566-9d97-\
d5c63f7989ab"],

Cell["\:0438 \:0438\:0445 \:0441\:0443\:043c\:043c\:0443 \:0438 \:0440\:0430\
\:0437\:043d\:043e\:0441\:0442\:044c", "Text",
 CellChangeTimes->{{3.8075881420663567`*^9, 
  3.807588156399356*^9}},ExpressionUUID->"2d18ce8a-ebc7-4038-801e-\
acb390d11f9e"],

Cell[BoxData[{
 RowBox[{
  SubscriptBox["r", "m"], "=", 
  FractionBox[
   RowBox[{
    SubscriptBox["r", "ad"], "+", 
    SubscriptBox["r", "bd"]}], "2"]}], "\[IndentingNewLine]", 
 RowBox[{
  SubscriptBox["r", "s"], "=", 
  FractionBox[
   RowBox[{
    SubscriptBox["r", "ad"], "-", 
    SubscriptBox["r", "bd"]}], "2"]}]}], "Input",
 Evaluatable->False,
 CellChangeTimes->{{3.807588241207358*^9, 3.807588263288357*^9}, {
  3.8075992023887253`*^9, 3.8075992139767284`*^9}, {3.8078537432144127`*^9, 
  3.8078537511501923`*^9}},ExpressionUUID->"2cc4d4ab-0986-4025-b770-\
db830f953ab2"],

Cell["\<\
3) \:043d\:0430\:0445\:043e\:0434\:0438\:043c \:0435\:0434\:0438\:043d\:0438\
\:0447\:043d\:044b\:0439 \:0432\:0435\:043a\:0442\:043e\:0440, \:043e\:0442 \
\:043a\:043e\:0442\:043e\:0440\:043e\:0433\:043e \:043d\:0430\:0447\:0438\
\:043d\:0430\:0435\:0442\:0441\:044f \:043f\:043e\:0441\:0442\:0440\:043e\
\:0435\:043d\:0438\:0435 (\:0432 \:043d\:0435\:043a\:043e\:0442\:043e\:0440\
\:044b\:0445 \:0431\:0438\:0431\:043b\:0438\:043e\:0442\:0435\:043a\:0430\
\:0445 \:0438 \:0441\:0438\:0441\:0442\:0435\:043c\:0430\:0445 \:043a\:043e\
\:043c\:043f\:044c\:044e\:0442\:0435\:0440\:043d\:043e\:0439 \:0430\:043b\
\:0433\:0435\:0431\:0440\:044b \:0434\:043b\:044f \:044d\:0442\:043e\:0433\
\:043e \:0435\:0441\:0442\:044c \:043e\:0442\:0434\:0435\:043b\:044c\:043d\
\:0430\:044f \:0444\:0443\:043d\:043a\:0446\:0438\:044f Sign(x))\
\>", "Text",
 CellChangeTimes->{{3.8075883995283556`*^9, 3.807588404751355*^9}, {
  3.8075884421903553`*^9, 3.807588461981359*^9}, {3.8075885028673573`*^9, 
  3.8075885250023556`*^9}, {3.807588786888359*^9, 3.8075888297083597`*^9}, {
  3.8079466106914797`*^9, 
  3.807946670944317*^9}},ExpressionUUID->"6417f38f-9110-4460-9b81-\
d12a59af5064"],

Cell[BoxData[
 RowBox[{"v", "=", 
  FractionBox[
   RowBox[{"a", "-", "d"}], 
   RowBox[{"Abs", "[", 
    RowBox[{"a", "-", "d"}], "]"}]]}]], "Input",
 Evaluatable->False,
 CellChangeTimes->{{3.8075886883773556`*^9, 3.8075887018873587`*^9}, {
   3.807852205062951*^9, 3.807852205320086*^9}, {3.807853674275443*^9, 
   3.807853676111864*^9}, 
   3.8079200214189672`*^9},ExpressionUUID->"a831de00-ba72-4585-908a-\
f0df652b6e36"],

Cell["\<\
4)  \:043d\:0430\:0445\:043e\:0434\:0438\:043c \:0443\:0433\:043b\:043e\:0432\
\:044b\:0435 \:043f\:0443\:0442\:0438, \:043a\:043e\:0442\:043e\:0440\:044b\
\:0435 \:0434\:043e\:043b\:0436\:043d\:044b \:043f\:0440\:043e\:0439\:0442\
\:0438 \:043a\:0430\:0436\:0434\:044b\:0439 \:0438\:0437 \:0432\:0435\:043a\
\:0442\:043e\:0440\:043e\:0432\
\>", "Text",
 CellChangeTimes->{{3.8075889525923553`*^9, 3.807588972017358*^9}, {
  3.80758901642936*^9, 3.8075890226343555`*^9}, {3.807589061624359*^9, 
  3.807589076602359*^9}, {3.80758911094836*^9, 
  3.807589117807358*^9}},ExpressionUUID->"83bd9a82-d7f5-41e5-86a1-\
b9b4e536ba05"],

Cell[BoxData[{
 RowBox[{
  SubscriptBox["\[Phi]", "m"], "=", 
  RowBox[{"Arg", "[", 
   FractionBox[
    RowBox[{"a", "-", "d"}], 
    RowBox[{"b", "-", "d"}]], "]"}]}], "\[IndentingNewLine]", 
 RowBox[{
  SubscriptBox["\[Phi]", "s"], "=", 
  RowBox[{"Arg", "[", 
   RowBox[{"-", 
    FractionBox[
     RowBox[{"a", "-", "d"}], 
     RowBox[{"b", "-", "d"}]]}], "]"}]}]}], "Input",
 Evaluatable->False,
 CellChangeTimes->{{3.807589761822727*^9, 3.8075897624557257`*^9}, {
  3.807852277370708*^9, 3.8078522849384537`*^9}, {3.8078527486961975`*^9, 
  3.8078527586796365`*^9}, {3.807853699347373*^9, 3.8078537049432797`*^9}, {
  3.8078537545019984`*^9, 
  3.807853758820753*^9}},ExpressionUUID->"bf876f15-4193-4db0-aee8-\
307c2211f26c"],

Cell["\<\
[\:041f\:0440\:0438\:043c\:0435\:0447\:0430\:043d\:0438\:0435] \:041f\:0440\
\:0438 \:0443\:043c\:043d\:043e\:0436\:0435\:043d\:0438\:0438 \:0432\:0435\
\:043a\:0442\:043e\:0440\:043e\:0432 \:0438\:0445 \:0434\:043b\:0438\:043d\
\:044b \:0443\:043c\:043d\:043e\:0436\:0430\:044e\:0442\:0441\:044f, \:0430 \
\:0443\:0433\:043b\:044b - \:0441\:043a\:043b\:0430\:0434\:044b\:0432\:0430\
\:044e\:0442\:0441\:044f. \:0417\:0434\:0435\:0441\:044c \:0434\:0435\:043b\
\:0435\:043d\:0438\:0435 \:0438\:0441\:043f\:043e\:043b\:044c\:0437\:0443\
\:0435\:0442\:0441\:044f \:0434\:043b\:044f \:043f\:0440\:043e\:0442\:0438\
\:0432\:043e\:043f\:043e\:043b\:043e\:0436\:043d\:043e\:0439 \:0437\:0430\
\:0434\:0430\:0447\:0438 - \:043d\:0430\:0439\:0442\:0438 \:0440\:0430\:0437\
\:043d\:0438\:0446\:0443 \:0443\:0433\:043b\:043e\:0432, \:0442\:043e \:0435\
\:0441\:0442\:044c \:0443\:0433\:043e\:043b \:043c\:0435\:0436\:0434\:0443 \
\:0432\:0435\:043a\:0442\:043e\:0440\:0430\:043c\:0438.

\:041f\:043e\:0441\:043a\:043e\:043b\:044c\:043a\:0443 \:0434\:043b\:044f \
\:0444\:0443\:043d\:043a\:0446\:0438\:0438 \:0430\:0440\:0433\:0443\:043c\
\:0435\:043d\:0442\:0430 \:0434\:043b\:0438\:043d\:0430 \:0432\:0435\:043a\
\:0442\:043e\:0440\:0430 \:043d\:0435 \:0438\:0433\:0440\:0430\:0435\:0442 \
\:0440\:043e\:043b\:0438, \:0442\:043e\:0442 \:0436\:0435 \:0440\:0435\:0437\
\:0443\:043b\:044c\:0442\:0430\:0442 \:043c\:043e\:0436\:043d\:043e \:043f\
\:043e\:043b\:0443\:0447\:0438\:0442\:044c \:0447\:0435\:0440\:0435\:0437 \
\:0443\:043c\:043d\:043e\:0436\:0435\:043d\:0438\:0435 \:043d\:0430 \:043a\
\:043e\:043c\:043f\:043b\:0435\:043a\:0441\:043d\:043e \:0441\:043e\:043f\
\:0440\:044f\:0436\:0451\:043d\:043d\:044b\:0439 \:0432\:0435\:043a\:0442\
\:043e\:0440 - \:0438 \:0442\:0430\:043a\:043e\:0439 \:0432\:0430\:0440\:0438\
\:0430\:043d\:0442 \:0434\:0430\:0436\:0435 \:043f\:0440\:0435\:0434\:043f\
\:043e\:0447\:0442\:0438\:0442\:0435\:043b\:044c\:043d\:0435\:0435, \:043f\
\:043e\:0441\:043a\:043e\:043b\:044c\:043a\:0443 \:0431\:0443\:0434\:0435\
\:0442 \:0431\:043e\:043b\:0435\:0435 \:0447\:0438\:0441\:043b\:0435\:043d\
\:043d\:043e \:0443\:0441\:0442\:043e\:0439\:0447\:0438\:0432 \:043d\:0430 \
\:043e\:0447\:0435\:043d\:044c \:043c\:0430\:043b\:044b\:0445 \:0437\:043d\
\:0430\:0447\:0435\:043d\:0438\:044f\:0445 \:0438\:0437-\:0437\:0430 \:043e\
\:0442\:0441\:0443\:0442\:0441\:0442\:0432\:0438\:044f \:0434\:0435\:043b\
\:0435\:043d\:0438\:044f; \:0437\:0434\:0435\:0441\:044c \:0436\:0435 \:0432\
\:044b\:0431\:043e\:0440 \:0432 \:043f\:043e\:043b\:044c\:0437\:0443 \:0434\
\:0435\:043b\:0435\:043d\:0438\:044f \:0441\:0434\:0435\:043b\:0430\:043d \
\:0438\:0441\:043a\:043b\:044e\:0447\:0438\:0442\:0435\:043b\:044c\:043d\:043e\
 \:0440\:0430\:0434\:0438 \:043d\:0430\:0433\:043b\:044f\:0434\:043d\:043e\
\:0441\:0442\:0438.

[\:0415\:0449\:0451 \:043e\:0434\:043d\:043e \:043f\:0440\:0438\:043c\:0435\
\:0447\:0430\:043d\:0438\:0435] \:0417\:0434\:0435\:0441\:044c \:0442\:0430\
\:043a\:0436\:0435 \:0438\:043c\:0435\:0435\:0442\:0441\:044f \:0435\:0449\
\:0451 \:043e\:0434\:0438\:043d \:043a\:0440\:0430\:0439\:043d\:0435 \:0432\
\:0430\:0436\:043d\:044b\:0439 \:043c\:043e\:043c\:0435\:043d\:0442. \:0415\
\:0441\:043b\:0438 \:0431\:044b \:043c\:044b \:0441\:043d\:0430\:0447\:0430\
\:043b\:0430 \:043d\:0430\:0448\:043b\:0438 \:0443\:0433\:043b\:044b \:0434\
\:043b\:044f \:043a\:0430\:0436\:0434\:043e\:0433\:043e \:0432\:0435\:043a\
\:0442\:043e\:0440\:0430 \:043f\:043e \:043e\:0442\:0434\:0435\:043b\:044c\
\:043d\:043e\:0441\:0442\:0438, \:0430 \:043f\:043e\:0442\:043e\:043c \:0431\
\:044b \:0441\:0447\:0438\:0442\:0430\:043b\:0438 \:0440\:0430\:0437\:043d\
\:0438\:0446\:0443\
\>", "Text",
 CellChangeTimes->{{3.807589933687727*^9, 3.807589999901728*^9}, {
   3.807590143005727*^9, 3.807590172439726*^9}, {3.8075902059017286`*^9, 
   3.807590239364728*^9}, {3.8075902976187296`*^9, 3.80759033580075*^9}, {
   3.807590375617728*^9, 3.807590410696725*^9}, {3.8075970705887284`*^9, 
   3.807597135642727*^9}, {3.8075971789937286`*^9, 3.807597188774725*^9}, {
   3.8075976762387285`*^9, 3.8075977260547285`*^9}, {3.807598305147725*^9, 
   3.807598508724725*^9}, {3.8075985449037576`*^9, 3.807598561023727*^9}, {
   3.807598640940725*^9, 3.807598651697728*^9}, {3.8075992419917574`*^9, 
   3.8075993458287287`*^9}, {3.8078532218674655`*^9, 
   3.8078535660493326`*^9}, {3.807853618671649*^9, 3.807853628846941*^9}, {
   3.8078537905425844`*^9, 3.8078539090265994`*^9}, 3.807853952218326*^9, {
   3.807935974114623*^9, 
   3.8079359764904423`*^9}},ExpressionUUID->"9161d15f-54d3-48ff-9d6f-\
bad726226507"],

Cell[BoxData[
 RowBox[{
  RowBox[{"Arg", "[", 
   RowBox[{"a", "-", "d"}], "]"}], "-", 
  RowBox[{"Arg", "[", 
   RowBox[{"b", "-", "d"}], "]"}]}]], "Input",
 Evaluatable->False,
 CellChangeTimes->{{3.8078539668876514`*^9, 
  3.807853974362875*^9}},ExpressionUUID->"108c0c6c-6e77-4187-9bba-\
ee3ef9c101c4"],

Cell["\<\
- \:0440\:0435\:0437\:0443\:043b\:044c\:0442\:0430\:0442 \:043d\:0435 \:0432\
\:0441\:0435\:0433\:0434\:0430 \:0431\:044b\:043b \:0431\:044b \:043a\:043e\
\:0440\:0440\:0435\:043a\:0442\:043d\:044b\:043c \:0438\:0437-\:0437\:0430 \
\:043c\:043d\:043e\:0433\:043e\:0437\:043d\:0430\:0447\:043d\:043e\:0441\:0442\
\:0438 \:0444\:0443\:043d\:043a\:0446\:0438\:0438 \:0430\:0440\:0433\:0443\
\:043c\:0435\:043d\:0442\:0430.\
\>", "Text",
 CellChangeTimes->{
  3.8078539464841685`*^9, {3.807853989312209*^9, 
   3.8078539894123683`*^9}},ExpressionUUID->"2e85dc5d-ccfc-4c04-aa2a-\
a7c585e33c34"],

Cell["\<\
5) \:043f\:043e\:0441\:043b\:0435\:0434\:043e\:0432\:0430\:0442\:0435\:043b\
\:044c\:043d\:043e \:0438\:0437\:043c\:0435\:043d\:044f\:044f t \:043e\:0442 \
0 \:0434\:043e 1 \:0441 \
\:043d\:0435\:043a\:043e\:0442\:043e\:0440\:044b\:043c \:0448\:0430\:0433\
\:043e\:043c, \:043d\:0430\:0445\:043e\:0434\:0438\:043c \:043f\:0440\:0438\
\:043d\:0430\:0434\:043b\:0435\:0436\:0430\:0449\:0443\:044e \:043a\:0440\
\:0438\:0432\:043e\:0439 \:0442\:043e\:0447\:043a\:0443 \:043f\:043e \:0444\
\:043e\:0440\:043c\:0443\:043b\:0435\
\>", "Text",
 CellChangeTimes->{{3.8075990252037573`*^9, 3.807599094124725*^9}, {
  3.8075994028867283`*^9, 
  3.8075994149617243`*^9}},ExpressionUUID->"1ac25a29-a39b-40be-92df-\
5adc44b7a486"],

Cell[BoxData[
 RowBox[{"d", "+", 
  RowBox[{"v", 
   RowBox[{"(", "  ", 
    RowBox[{
     RowBox[{
      SubscriptBox["r", "m"], " ", 
      SuperscriptBox["\[ExponentialE]", 
       RowBox[{
        RowBox[{"-", "\[ImaginaryI]"}], " ", "t", " ", 
        SubscriptBox["\[Phi]", "m"]}]]}], "+", 
     RowBox[{
      SubscriptBox["r", "s"], " ", 
      SuperscriptBox["\[ExponentialE]", 
       RowBox[{
        RowBox[{"-", "\[ImaginaryI]"}], " ", "t", " ", 
        SubscriptBox["\[Phi]", "s"]}]]}]}], ")"}]}]}]], "Input",
 Evaluatable->False,
 CellChangeTimes->{{3.8075992234067287`*^9, 3.8075992327747555`*^9}, {
   3.807852238206987*^9, 3.807852238431512*^9}, {3.8078531197356906`*^9, 
   3.807853126538332*^9}, {3.8078536831306944`*^9, 3.8078537151494455`*^9}, 
   3.80792001635402*^9, {3.807935962195086*^9, 
   3.807935964939498*^9}},ExpressionUUID->"0c340bc9-6f3f-4f44-bded-\
567feba681fb"]
}, Open  ]],

Cell[CellGroupData[{

Cell["\:0426\:0438\:0440\:043a\:0443\:043b\:044f\:0440\:043d\:044b\:0435 \
\:0441\:043f\:043b\:0430\:0439\:043d\:044b", "Section",
 CellChangeTimes->{{3.807572624771587*^9, 3.807572631597833*^9}, {
  3.8075758460187807`*^9, 3.8075758555215144`*^9}, {3.807584182211512*^9, 
  3.807584185869512*^9}, {3.807599597434725*^9, 3.8075995997597284`*^9}, {
  3.8079272668644543`*^9, 3.8079272698408318`*^9}, {3.807946927866561*^9, 
  3.807946932602481*^9}},ExpressionUUID->"7afd860a-9882-4271-8f72-\
57fb2e86c69e"],

Cell[BoxData[
 RowBox[{
  RowBox[{"ArcCurve", "[", 
   RowBox[{"a_", ",", "c_", ",", "b_", ",", "t_"}], "]"}], ":=", 
  RowBox[{"With", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{"d", "=", 
      RowBox[{
       RowBox[{"(", 
        RowBox[{
         RowBox[{
          RowBox[{"(", 
           RowBox[{
            RowBox[{"2", " ", "a"}], "-", "c"}], ")"}], " ", 
          RowBox[{"(", 
           RowBox[{"c", "-", "b"}], ")"}], " ", 
          RowBox[{"Conjugate", "[", "a", "]"}]}], "-", 
         RowBox[{"c", " ", 
          RowBox[{"(", 
           RowBox[{"a", "-", "b"}], ")"}], " ", 
          RowBox[{"Conjugate", "[", "c", "]"}]}], "+", 
         RowBox[{
          RowBox[{"(", 
           RowBox[{"a", "-", "c"}], ")"}], " ", 
          RowBox[{"(", 
           RowBox[{
            RowBox[{"2", " ", "b"}], "-", "c"}], ")"}], " ", 
          RowBox[{"Conjugate", "[", "b", "]"}]}]}], ")"}], "/", 
       RowBox[{"(", 
        RowBox[{
         RowBox[{
          RowBox[{"(", 
           RowBox[{"c", "-", "b"}], ")"}], " ", 
          RowBox[{"Conjugate", "[", "a", "]"}]}], "-", 
         RowBox[{
          RowBox[{"(", 
           RowBox[{"a", "-", "b"}], ")"}], " ", 
          RowBox[{"Conjugate", "[", "c", "]"}]}], "+", 
         RowBox[{
          RowBox[{"(", 
           RowBox[{"a", "-", "c"}], ")"}], " ", 
          RowBox[{"Conjugate", "[", "b", "]"}]}]}], ")"}]}]}], "}"}], ",", 
    RowBox[{"d", "+", 
     RowBox[{
      FractionBox["1", "2"], " ", 
      RowBox[{"(", 
       RowBox[{
        RowBox[{
         SuperscriptBox["\[ExponentialE]", 
          RowBox[{
           RowBox[{"-", "\[ImaginaryI]"}], " ", "t", " ", 
           RowBox[{"Arg", "[", 
            RowBox[{
             RowBox[{"(", 
              RowBox[{
               RowBox[{"-", "a"}], "+", "d"}], ")"}], " ", 
             RowBox[{"(", 
              RowBox[{"Conjugate", "[", 
               RowBox[{"b", "-", "d"}], "]"}], ")"}]}], "]"}]}]], " ", 
         RowBox[{"(", 
          RowBox[{
           RowBox[{"Abs", "[", 
            RowBox[{"a", "-", "d"}], "]"}], "-", 
           RowBox[{"Abs", "[", 
            RowBox[{"b", "-", "d"}], "]"}]}], ")"}]}], "+", 
        RowBox[{
         SuperscriptBox["\[ExponentialE]", 
          RowBox[{
           RowBox[{"-", "\[ImaginaryI]"}], " ", "t", " ", 
           RowBox[{"Arg", "[", 
            RowBox[{
             RowBox[{"(", 
              RowBox[{"a", "-", "d"}], ")"}], " ", 
             RowBox[{"(", 
              RowBox[{"Conjugate", "[", 
               RowBox[{"b", "-", "d"}], "]"}], ")"}]}], "]"}]}]], " ", 
         RowBox[{"(", 
          RowBox[{
           RowBox[{"Abs", "[", 
            RowBox[{"a", "-", "d"}], "]"}], "+", 
           RowBox[{"Abs", "[", 
            RowBox[{"b", "-", "d"}], "]"}]}], ")"}]}]}], ")"}], " ", 
      RowBox[{"Sign", "[", 
       RowBox[{"a", "-", "d"}], "]"}]}]}]}], "]"}]}]], "Input",
 CellOpen->False,
 CellChangeTimes->{{3.80778512055484*^9, 3.807785129554962*^9}, {
  3.8077853366983232`*^9, 3.807785361401782*^9}, {3.8077853984179106`*^9, 
  3.8077854671688366`*^9}, {3.8077856112871013`*^9, 3.807785612458993*^9}, {
  3.807785808586694*^9, 3.8077858356026845`*^9}, {3.807785917541293*^9, 
  3.8077859196975327`*^9}, {3.80778605005871*^9, 3.807786077543458*^9}, {
  3.807919353406131*^9, 3.8079193577376523`*^9}},
 Background->RGBColor[0.88, 1, 0.88],
 CellLabel->"In[12]:=",ExpressionUUID->"d9b2e309-9bf8-4223-a0cd-2be36cc37d93"],

Cell[BoxData[
 RowBox[{
  RowBox[{"pan", "[", 
   RowBox[{"a_", ",", "b_", ",", "x_"}], "]"}], ":=", 
  FractionBox[
   RowBox[{"a", "+", "b", "-", 
    RowBox[{"x", 
     RowBox[{"(", 
      RowBox[{"a", "-", "b"}], " ", ")"}]}]}], "2"]}]], "Input",
 CellOpen->False,
 CellChangeTimes->{{3.8077900462846518`*^9, 3.8077900745819097`*^9}, {
  3.807836561264346*^9, 3.8078365638261833`*^9}},
 Background->RGBColor[0.88, 1, 0.88],
 CellLabel->"In[13]:=",ExpressionUUID->"b7e083d5-6b8c-4a62-b93a-90510782d26a"],

Cell["\<\
\:0422\:0430\:043a \:0436\:0435, \:043a\:0430\:043a \:0438 \:043a\:0440\:0438\
\:0432\:044b\:0435 \:0411\:0435\:0437\:044c\:0435, \:044d\:0442\:0438 \:043a\
\:0440\:0438\:0432\:044b\:0435 \:043c\:043e\:0436\:043d\:043e \:0441\:043e\
\:0432\:043c\:0435\:0449\:0430\:0442\:044c \:0434\:043b\:044f \:043a\:0443\
\:0441\:043e\:0447\:043d\:043e-\:043d\:0435\:043f\:0440\:0435\:0440\:044b\
\:0432\:043d\:043e\:0433\:043e \:043f\:043e\:0441\:0442\:0440\:043e\:0435\
\:043d\:0438\:044f \:0441\:043f\:043b\:0430\:0439\:043d\:043e\:0432. \:0414\
\:043b\:044f \:043e\:0431\:0435\:0441\:043f\:0435\:0447\:0435\:043d\:0438\
\:044f \:0433\:043b\:0430\:0434\:043a\:043e\:0441\:0442\:0438 \:0432 \:0443\
\:0437\:043b\:043e\:0432\:044b\:0445 \:0442\:043e\:0447\:043a\:0430\:0445 (\
\:0441\:0442\:044b\:043a\:043e\:0432\:043a\:0438) \:043d\:0435\:043e\:0431\
\:0445\:043e\:0434\:0438\:043c\:043e, \:0447\:0442\:043e\:0431\:044b \:0443\
\:0437\:043b\:043e\:0432\:0430\:044f \:0442\:043e\:0447\:043a\:0430 \:043d\
\:0430\:0445\:043e\:0434\:0438\:043b\:0430\:0441\:044c \:043d\:0430 \:043e\
\:0434\:043d\:043e\:0439 \:043b\:0438\:043d\:0438\:0438 \:0441 \:0434\:0432\
\:0443\:043c\:044f \:0441\:043e\:0441\:0435\:0434\:043d\:0438\:043c\:0438 \
\:043d\:0430\:043f\:0440\:0430\:0432\:043b\:044f\:044e\:0449\:0438\:043c\:0438\
 \:0442\:043e\:0447\:043a\:0430\:043c\:0438. \:0414\:043b\:044f \:044d\:0442\
\:043e\:0433\:043e \:043c\:043e\:0436\:043d\:043e \:0437\:0430\:0434\:0430\
\:0432\:0430\:0442\:044c \:0443\:0437\:043b\:043e\:0432\:044b\:0435 \:0442\
\:043e\:0447\:043a\:0438 \:043d\:0435 \:044f\:0432\:043d\:044b\:043c \:043e\
\:0431\:0440\:0430\:0437\:043e\:043c, \:0430 \:0447\:0435\:0440\:0435\:0437 \
\:0438\:043d\:0442\:0435\:0440\:043f\:043e\:043b\:044f\:0446\:0438\:044e \
\:043d\:0430\:043f\:0440\:0430\:0432\:043b\:044f\:044e\:0449\:0438\:0445 \
\:0442\:043e\:0447\:0435\:043a. \:0418\:0445 \:0442\:0430\:043a\:0436\:0435 \
\:043c\:043e\:0436\:043d\:043e \:043d\:0435 \:0437\:0430\:0434\:0430\:0432\
\:0430\:0442\:044c \:0432\:043e\:043e\:0431\:0449\:0435, \:0432\:044b\:0447\
\:0438\:0441\:043b\:044f\:044f \:043f\:043e\:043b\:043d\:043e\:0441\:0442\
\:044c\:044e \:0430\:0432\:0442\:043e\:043c\:0430\:0442\:0438\:0447\:0435\
\:0441\:043a\:0438 - \:043d\:0430\:043f\:0440\:0438\:043c\:0435\:0440, \:043a\
\:0430\:043a \:0441\:0440\:0435\:0434\:043d\:0435\:0435 \:043c\:0435\:0436\
\:0434\:0443 \:043d\:0430\:043f\:0440\:0430\:0432\:043b\:044f\:044e\:0449\
\:0438\:0445 \:0442\:043e\:0447\:0435\:043a:\
\>", "Text",
 CellChangeTimes->{{3.8075997588187246`*^9, 3.8075997944677286`*^9}, {
   3.807599936216571*^9, 3.807600066918395*^9}, {3.8076001145669518`*^9, 
   3.807600122964161*^9}, {3.807600162905971*^9, 3.8076001642050343`*^9}, {
   3.807600252384818*^9, 3.807600256667265*^9}, {3.8076003066572843`*^9, 
   3.807600309030572*^9}, {3.807600377331918*^9, 3.807600460823138*^9}, {
   3.8076005004480886`*^9, 3.8076005884603043`*^9}, {3.80760063390467*^9, 
   3.8076007216142607`*^9}, {3.807600763197909*^9, 3.807600770778427*^9}, {
   3.8076008052867117`*^9, 3.807600970795401*^9}, {3.807854019197871*^9, 
   3.8078541022627077`*^9}, {3.8078541462722034`*^9, 
   3.8078541471814404`*^9}, {3.8079262077007904`*^9, 3.807926229125396*^9}, 
   3.8079273020199184`*^9, {3.807927430564702*^9, 3.8079274672900085`*^9}, {
   3.807927625729982*^9, 3.807927643126314*^9}, {3.8079276875408344`*^9, 
   3.8079277340558243`*^9}, {3.8079303030207205`*^9, 
   3.8079303067278137`*^9}},ExpressionUUID->"d2917612-0fdf-4fe6-bc37-\
883e1542427a"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"With", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"n", "=", "15"}], "}"}], ",", 
   RowBox[{"DynamicModule", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{"pts", "=", 
       RowBox[{"Join", "[", 
        RowBox[{
         RowBox[{
          RowBox[{
           RowBox[{"Table", "[", 
            RowBox[{
             RowBox[{
              FractionBox[
               RowBox[{"(", "k", ")"}], "2"], 
              SuperscriptBox["I", 
               RowBox[{
                RowBox[{"-", "4"}], " ", 
                RowBox[{"k", "/", 
                 RowBox[{"(", 
                  RowBox[{"n", "/", "4.7"}], ")"}]}]}]]}], ",", 
             RowBox[{"{", 
              RowBox[{"k", ",", "1", ",", 
               RowBox[{"n", "-", "1"}]}], "}"}]}], "]"}], "//", "N"}], "//", 
          "ReIm"}], ",", 
         RowBox[{"{", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"-", "8"}], ",", "0"}], "}"}], "}"}]}], "]"}]}], "}"}], 
     ",", 
     RowBox[{"LocatorPane", "[", 
      RowBox[{
       RowBox[{"Dynamic", "[", "pts", "]"}], ",", 
       RowBox[{"Dynamic", "[", "\[IndentingNewLine]", 
        RowBox[{
         RowBox[{"cpts", "=", 
          RowBox[{"Table", "[", 
           RowBox[{
            RowBox[{
             RowBox[{
              RowBox[{"pts", "[", 
               RowBox[{"[", "j", "]"}], "]"}], "[", 
              RowBox[{"[", "1", "]"}], "]"}], "+", 
             RowBox[{"I", " ", 
              RowBox[{
               RowBox[{"pts", "[", 
                RowBox[{"[", "j", "]"}], "]"}], "[", 
               RowBox[{"[", "2", "]"}], "]"}]}]}], ",", 
            RowBox[{"{", 
             RowBox[{"j", ",", "1", ",", "n"}], "}"}]}], "]"}]}], ";", 
         "\[IndentingNewLine]", 
         RowBox[{"zpts", "=", 
          RowBox[{"Table", "[", 
           RowBox[{
            RowBox[{"pan", "[", 
             RowBox[{
              RowBox[{"cpts", "[", 
               RowBox[{"[", "j", "]"}], "]"}], ",", 
              RowBox[{"cpts", "[", 
               RowBox[{"[", 
                RowBox[{"j", "+", "1"}], "]"}], "]"}], ",", "0"}], "]"}], ",", 
            RowBox[{"{", 
             RowBox[{"j", ",", "1", ",", 
              RowBox[{"n", "-", "1"}]}], "}"}]}], "]"}]}], ";", 
         "\[IndentingNewLine]", "\[IndentingNewLine]", 
         RowBox[{"ParametricPlot", "[", "\[IndentingNewLine]", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"Join", "[", "\[IndentingNewLine]", 
              RowBox[{
               RowBox[{"Table", "[", 
                RowBox[{
                 RowBox[{"ArcCurve", "[", 
                  RowBox[{
                   RowBox[{"zpts", "[", 
                    RowBox[{"[", "j", "]"}], "]"}], ",", 
                   RowBox[{"cpts", "[", 
                    RowBox[{"[", 
                    RowBox[{"j", "+", "1"}], "]"}], "]"}], ",", 
                   RowBox[{"zpts", "[", 
                    RowBox[{"[", 
                    RowBox[{"j", "+", "1"}], "]"}], "]"}], ",", "t"}], "]"}], 
                 ",", 
                 RowBox[{"{", 
                  RowBox[{"j", ",", "2", ",", 
                   RowBox[{"n", "-", "3"}]}], "}"}]}], "]"}], ",", 
               "\[IndentingNewLine]", 
               RowBox[{"{", 
                RowBox[{"ArcCurve", "[", 
                 RowBox[{
                  RowBox[{"cpts", "[", 
                   RowBox[{"[", "1", "]"}], "]"}], ",", 
                  RowBox[{"cpts", "[", 
                   RowBox[{"[", "2", "]"}], "]"}], ",", 
                  RowBox[{"zpts", "[", 
                   RowBox[{"[", "2", "]"}], "]"}], ",", "t"}], "]"}], "}"}], 
               ",", "\[IndentingNewLine]", 
               RowBox[{"{", 
                RowBox[{"ArcCurve", "[", 
                 RowBox[{
                  RowBox[{"zpts", "[", 
                   RowBox[{"[", 
                    RowBox[{"n", "-", "2"}], "]"}], "]"}], ",", 
                  RowBox[{"cpts", "[", 
                   RowBox[{"[", 
                    RowBox[{"n", "-", "1"}], "]"}], "]"}], ",", 
                  RowBox[{"cpts", "[", 
                   RowBox[{"[", "n", "]"}], "]"}], ",", "t"}], "]"}], "}"}]}],
               "\[IndentingNewLine]", "]"}], "\[IndentingNewLine]", "//", 
             "ReIm"}], "//", "Evaluate"}], ",", 
           RowBox[{"{", 
            RowBox[{"t", ",", "0", ",", "1"}], "}"}], ",", 
           RowBox[{"PlotRange", "\[Rule]", 
            RowBox[{"{", 
             RowBox[{
              RowBox[{"-", "8"}], ",", "8"}], "}"}]}], ",", 
           RowBox[{"GridLines", "\[Rule]", 
            RowBox[{"{", 
             RowBox[{
              RowBox[{
               RowBox[{"Range", "[", "40", "]"}], "-", "20"}], ",", 
              RowBox[{
               RowBox[{"Range", "[", "40", "]"}], "-", "20"}]}], "}"}]}], ",", 
           RowBox[{"PlotPoints", "\[Rule]", "20"}], ",", 
           RowBox[{"PlotStyle", "\[Rule]", 
            RowBox[{"{", 
             RowBox[{"{", 
              RowBox[{"Thick", ",", "Red"}], "}"}], "}"}]}], ",", 
           RowBox[{"Axes", "\[Rule]", "False"}], ",", 
           RowBox[{"Epilog", "\[Rule]", 
            RowBox[{"{", 
             RowBox[{
              RowBox[{"{", 
               RowBox[{"Dotted", ",", "\[IndentingNewLine]", 
                RowBox[{"Line", "[", 
                 RowBox[{"Table", "[", 
                  RowBox[{
                   RowBox[{"{", 
                    RowBox[{
                    RowBox[{"pts", "[", 
                    RowBox[{"[", "j", "]"}], "]"}], ",", 
                    RowBox[{"pts", "[", 
                    RowBox[{"[", 
                    RowBox[{"j", "+", "1"}], "]"}], "]"}]}], "}"}], ",", 
                   RowBox[{"{", 
                    RowBox[{"j", ",", "1", ",", 
                    RowBox[{"n", "-", "1"}]}], "}"}]}], "]"}], "]"}]}], 
               "\[IndentingNewLine]", "}"}], ",", 
              RowBox[{"Table", "[", 
               RowBox[{
                RowBox[{"Text", "[", 
                 RowBox[{"k", ",", 
                  RowBox[{
                   RowBox[{"pts", "[", 
                    RowBox[{"[", "k", "]"}], "]"}], "+", 
                   RowBox[{"{", 
                    RowBox[{"0.5", ",", 
                    RowBox[{"-", "0.5"}]}], "}"}]}]}], "]"}], ",", 
                RowBox[{"{", 
                 RowBox[{"k", ",", "1", ",", "n"}], "}"}]}], "]"}], ",", 
              RowBox[{"Point", "[", 
               RowBox[{
                RowBox[{"zpts", "[", 
                 RowBox[{"[", 
                  RowBox[{"2", ";;", 
                   RowBox[{"-", "2"}]}], "]"}], "]"}], "//", "ReIm"}], 
               "]"}]}], "}"}]}]}], "]"}]}], "]"}]}], "]"}]}], "]"}]}], 
  "]"}]], "Input",
 CellOpen->False,
 CellChangeTimes->{{3.807788522998418*^9, 3.807788623452902*^9}, {
   3.8077886862975016`*^9, 3.80778868718814*^9}, {3.80778874640769*^9, 
   3.807788802845953*^9}, {3.8077888452683525`*^9, 3.8077888590654645`*^9}, {
   3.8077891395536346`*^9, 3.8077893166184883`*^9}, {3.8077893716661158`*^9, 
   3.8077893735255504`*^9}, {3.8077900402532825`*^9, 3.807790041190832*^9}, {
   3.8077900870507793`*^9, 3.8077901208012185`*^9}, {3.8077901524267135`*^9, 
   3.8077901981147647`*^9}, {3.807791465647605*^9, 3.8077915745084524`*^9}, {
   3.8077916209465265`*^9, 3.807791648181324*^9}, {3.807792037577151*^9, 
   3.8077921239846363`*^9}, {3.807792188313565*^9, 3.807792198798148*^9}, {
   3.8078365697105975`*^9, 3.807836587161805*^9}, {3.8078368530326977`*^9, 
   3.807836951443075*^9}, {3.8078371468507004`*^9, 3.807837164601796*^9}, {
   3.8078372099512305`*^9, 3.8078372418649607`*^9}, {3.8078372790675645`*^9, 
   3.807837293066909*^9}, {3.807837391366344*^9, 3.80783739966574*^9}, {
   3.807837432551073*^9, 3.807837477228986*^9}, {3.8078375217725344`*^9, 
   3.8078376146611915`*^9}, 3.8078376513674603`*^9, {3.8078377306296654`*^9, 
   3.8078377321819415`*^9}, {3.8078380119087353`*^9, 3.807838033639044*^9}, {
   3.807838147650025*^9, 3.8078381558960257`*^9}, {3.807838455648982*^9, 
   3.8078384858512425`*^9}, {3.8078388844883614`*^9, 
   3.8078388915559125`*^9}, {3.807839413767276*^9, 3.807839492611816*^9}, {
   3.8078395715583324`*^9, 3.8078395831902018`*^9}, 3.8078396973457747`*^9, {
   3.80783978510725*^9, 3.8078399152710986`*^9}, {3.807839965629817*^9, 
   3.807839983791526*^9}, 3.8078401336463113`*^9, {3.8078402169697905`*^9, 
   3.8078402407347183`*^9}, {3.8078404456445055`*^9, 3.807840531905585*^9}, {
   3.8078406700877285`*^9, 3.8078406749275837`*^9}, {3.8078408622466836`*^9, 
   3.8078408910200815`*^9}, {3.807841139510105*^9, 3.807841279471727*^9}, {
   3.8078413747076244`*^9, 3.807841400353052*^9}, {3.8078416219343863`*^9, 
   3.8078416846308627`*^9}, {3.8078417213012915`*^9, 3.807841872143453*^9}, {
   3.8078420683420963`*^9, 3.80784208844645*^9}, {3.8078421281650124`*^9, 
   3.807842160406088*^9}, {3.807842221848263*^9, 3.8078423454072094`*^9}, {
   3.8078424539066925`*^9, 3.8078424801729116`*^9}, {3.807842656800468*^9, 
   3.807842695418182*^9}, {3.8078428161967597`*^9, 3.80784286316819*^9}, {
   3.807842897634181*^9, 3.807843030415278*^9}, {3.807845833020022*^9, 
   3.8078458332122817`*^9}, {3.8078459515310335`*^9, 3.807846021134755*^9}, {
   3.8078461714939384`*^9, 3.807846227763854*^9}, {3.8078464315899973`*^9, 
   3.8078464323082943`*^9}, {3.807919058876813*^9, 3.8079190740320234`*^9}, {
   3.807919201254037*^9, 3.8079192030242853`*^9}, {3.807931265323145*^9, 
   3.807931266963908*^9}, 3.8079315468712807`*^9, {3.8079316497991786`*^9, 
   3.8079316543372498`*^9}, {3.8079323642434053`*^9, 3.807932380176795*^9}, {
   3.807932454930344*^9, 3.8079324680853767`*^9}, {3.807932514341248*^9, 
   3.8079325145452385`*^9}, {3.8079328675954285`*^9, 
   3.8079328686747885`*^9}, {3.807932920109223*^9, 3.807932933950054*^9}, 
   3.807932986890543*^9, {3.807933039286858*^9, 3.8079330415320487`*^9}, {
   3.8079412411265974`*^9, 3.807941242374145*^9}, 3.80794159331206*^9},
 Background->GrayLevel[0.85],
 CellLabel->"In[14]:=",ExpressionUUID->"a66e0ecc-a9f1-4cee-9d69-1b6df1c37e02"],

Cell[BoxData[
 DynamicModuleBox[{$CellContext`pts$$ = {{-0.1937577932260515, \
-0.46093157579425026`}, {-0.6996633405133653, 0.7144726796328035}, {
   1.3946647288323772`, 
   0.5521868290270168}, {-0.041884839766714255`, -1.999561366949691}, \
{-2.283863644106502, 1.0168416076895008`}, {2.186905882264235, 
   2.0536413177860657`}, {
   1.2200021656263524`, -3.2804869632216205`}, {-3.9964913203954335`, 
   0.16750261491679985`}, {1.9160068120428357`, 4.071721736097084}, {
   3.3456530317942894`, -3.7157241273869723`}, {-5.194070036306144, \
-1.808766557062215}, {0.37674311717588327`, 5.988160370569629}, {
   5.822126441556187, -2.8901286647020217`}, {-5.298965389562298, \
-4.573944227930736}, {-8, 0}}}, 
  LocatorPaneBox[Dynamic[$CellContext`pts$$], 
   DynamicBox[ToBoxes[$CellContext`cpts = Table[Part[
          Part[$CellContext`pts$$, $CellContext`j], 1] + I Part[
           Part[$CellContext`pts$$, $CellContext`j], 2], {$CellContext`j, 1, 
         15}]; $CellContext`zpts = Table[
        $CellContext`pan[
         Part[$CellContext`cpts, $CellContext`j], 
         Part[$CellContext`cpts, $CellContext`j + 1], 0], {$CellContext`j, 1, 
         15 - 1}]; ParametricPlot[
       Evaluate[
        ReIm[
         Join[
          Table[
           $CellContext`ArcCurve[
            Part[$CellContext`zpts, $CellContext`j], 
            Part[$CellContext`cpts, $CellContext`j + 1], 
            
            Part[$CellContext`zpts, $CellContext`j + 
             1], $CellContext`t], {$CellContext`j, 2, 15 - 3}], {
           $CellContext`ArcCurve[
            Part[$CellContext`cpts, 1], 
            Part[$CellContext`cpts, 2], 
            Part[$CellContext`zpts, 2], $CellContext`t]}, {
           $CellContext`ArcCurve[
            Part[$CellContext`zpts, 15 - 2], 
            Part[$CellContext`cpts, 15 - 1], 
            Part[$CellContext`cpts, 15], $CellContext`t]}]]], {$CellContext`t,
         0, 1}, PlotRange -> {-8, 8}, 
       GridLines -> {Range[40] - 20, Range[40] - 20}, PlotPoints -> 20, 
       PlotStyle -> {{Thick, Red}}, Axes -> False, Epilog -> {{Dotted, 
          Line[
           Table[{
             Part[$CellContext`pts$$, $CellContext`j], 
             Part[$CellContext`pts$$, $CellContext`j + 1]}, {$CellContext`j, 
             1, 15 - 1}]]}, 
         Table[
          
          Text[$CellContext`k, 
           Part[$CellContext`pts$$, $CellContext`k] + {
            0.5, -0.5}], {$CellContext`k, 1, 15}], 
         Point[
          ReIm[
           Part[$CellContext`zpts, 
            Span[2, -2]]]]}], StandardForm],
    ImageSizeCache->{540., {239., 247.}}]],
  DynamicModuleValues:>{}]], "Output",
 CellChangeTimes->{
  3.807931269933363*^9, 3.8079315479325137`*^9, 3.8079316552379637`*^9, 
   3.8079321885981283`*^9, {3.8079323655999193`*^9, 3.807932380816918*^9}, {
   3.80793245575144*^9, 3.8079324685261507`*^9}, 3.807932514850836*^9, 
   3.807932869246374*^9, {3.8079329210926776`*^9, 3.8079329346142693`*^9}, 
   3.807932987366562*^9, 3.8079330419687757`*^9, 3.8079404841915417`*^9, 
   3.807941244702765*^9, 3.807941595214529*^9, 3.8079632727399225`*^9},
 CellLabel->"Out[14]=",ExpressionUUID->"5527482c-79dc-46c7-b559-f25bc33d8cff"]
}, Open  ]],

Cell["\<\
\:041d\:0438\:0436\:0435 \:0434\:043b\:044f \:0441\:0440\:0430\:0432\:043d\
\:0435\:043d\:0438\:044f \:0438\:0441\:043f\:043e\:043b\:044c\:0437\:043e\
\:0432\:0430\:043d \:0442\:043e\:0442 \:0436\:0435 \:043f\:043e\:0434\:0445\
\:043e\:0434 \:0441 \:043a\:0440\:0438\:0432\:044b\:043c\:0438 \:0411\:0435\
\:0437\:044c\:0435 2-\:0433\:043e \:043f\:043e\:0440\:044f\:0434\:043a\:0430.\
\>", "Text",
 CellChangeTimes->{{3.8079277203899145`*^9, 3.807927723777279*^9}, {
  3.8079322077984285`*^9, 
  3.8079322128184853`*^9}},ExpressionUUID->"9ace2956-018b-46ca-850a-\
f3460ecbe31f"],

Cell[BoxData[
 RowBox[{
  RowBox[{"BCurve", "[", 
   RowBox[{"a_", ",", "c_", ",", "b_", ",", "t_"}], "]"}], ":=", 
  RowBox[{"a", "+", 
   RowBox[{
    RowBox[{"(", 
     RowBox[{
      RowBox[{
       RowBox[{"-", "2"}], " ", "a"}], "+", 
      RowBox[{"2", " ", "c"}]}], ")"}], " ", "t"}], "+", 
   RowBox[{
    RowBox[{"(", 
     RowBox[{"a", "+", "b", "-", 
      RowBox[{"2", " ", "c"}]}], ")"}], " ", 
    SuperscriptBox["t", "2"]}]}]}]], "Input",
 CellOpen->False,
 CellChangeTimes->{{3.80778512055484*^9, 3.807785129554962*^9}, {
   3.8077853366983232`*^9, 3.807785361401782*^9}, {3.8077853984179106`*^9, 
   3.8077854671688366`*^9}, {3.8077856112871013`*^9, 3.807785612458993*^9}, {
   3.807785808586694*^9, 3.8077858356026845`*^9}, {3.807785917541293*^9, 
   3.8077859196975327`*^9}, {3.80778605005871*^9, 3.807786077543458*^9}, 
   3.8078432610701666`*^9, 3.807843353601407*^9, {3.807843387810562*^9, 
   3.807843403386709*^9}},
 Background->RGBColor[0.88, 1, 0.88],
 CellLabel->"In[15]:=",ExpressionUUID->"aa8f2543-cc8e-40c5-b6ac-9eb2731bfc20"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"With", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"n", "=", "15"}], "}"}], ",", 
   RowBox[{"DynamicModule", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{"pts", "=", 
       RowBox[{"Join", "[", 
        RowBox[{
         RowBox[{
          RowBox[{
           RowBox[{"Table", "[", 
            RowBox[{
             RowBox[{
              FractionBox[
               RowBox[{"(", "k", ")"}], "2"], 
              SuperscriptBox["I", 
               RowBox[{
                RowBox[{"-", "4"}], " ", 
                RowBox[{"k", "/", 
                 RowBox[{"(", 
                  RowBox[{"n", "/", "4.7"}], ")"}]}]}]]}], ",", 
             RowBox[{"{", 
              RowBox[{"k", ",", "1", ",", 
               RowBox[{"n", "-", "1"}]}], "}"}]}], "]"}], "//", "N"}], "//", 
          "ReIm"}], ",", 
         RowBox[{"{", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"-", "8"}], ",", "0"}], "}"}], "}"}]}], "]"}]}], "}"}], 
     ",", 
     RowBox[{"LocatorPane", "[", 
      RowBox[{
       RowBox[{"Dynamic", "[", "pts", "]"}], ",", 
       RowBox[{"Dynamic", "[", "\[IndentingNewLine]", 
        RowBox[{
         RowBox[{"cpts", "=", 
          RowBox[{"Table", "[", 
           RowBox[{
            RowBox[{
             RowBox[{
              RowBox[{"pts", "[", 
               RowBox[{"[", "j", "]"}], "]"}], "[", 
              RowBox[{"[", "1", "]"}], "]"}], "+", 
             RowBox[{"I", " ", 
              RowBox[{
               RowBox[{"pts", "[", 
                RowBox[{"[", "j", "]"}], "]"}], "[", 
               RowBox[{"[", "2", "]"}], "]"}]}]}], ",", 
            RowBox[{"{", 
             RowBox[{"j", ",", "1", ",", "n"}], "}"}]}], "]"}]}], ";", 
         "\[IndentingNewLine]", 
         RowBox[{"zpts", "=", 
          RowBox[{"Table", "[", 
           RowBox[{
            RowBox[{"pan", "[", 
             RowBox[{
              RowBox[{"cpts", "[", 
               RowBox[{"[", "j", "]"}], "]"}], ",", 
              RowBox[{"cpts", "[", 
               RowBox[{"[", 
                RowBox[{"j", "+", "1"}], "]"}], "]"}], ",", "0"}], "]"}], ",", 
            RowBox[{"{", 
             RowBox[{"j", ",", "1", ",", 
              RowBox[{"n", "-", "1"}]}], "}"}]}], "]"}]}], ";", 
         "\[IndentingNewLine]", "\[IndentingNewLine]", 
         RowBox[{"ParametricPlot", "[", "\[IndentingNewLine]", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"Join", "[", "\[IndentingNewLine]", 
              RowBox[{
               RowBox[{"Table", "[", 
                RowBox[{
                 RowBox[{"BCurve", "[", 
                  RowBox[{
                   RowBox[{"zpts", "[", 
                    RowBox[{"[", "j", "]"}], "]"}], ",", 
                   RowBox[{"cpts", "[", 
                    RowBox[{"[", 
                    RowBox[{"j", "+", "1"}], "]"}], "]"}], ",", 
                   RowBox[{"zpts", "[", 
                    RowBox[{"[", 
                    RowBox[{"j", "+", "1"}], "]"}], "]"}], ",", "t"}], "]"}], 
                 ",", 
                 RowBox[{"{", 
                  RowBox[{"j", ",", "2", ",", 
                   RowBox[{"n", "-", "3"}]}], "}"}]}], "]"}], ",", 
               "\[IndentingNewLine]", 
               RowBox[{"{", 
                RowBox[{"BCurve", "[", 
                 RowBox[{
                  RowBox[{"cpts", "[", 
                   RowBox[{"[", "1", "]"}], "]"}], ",", 
                  RowBox[{"cpts", "[", 
                   RowBox[{"[", "2", "]"}], "]"}], ",", 
                  RowBox[{"zpts", "[", 
                   RowBox[{"[", "2", "]"}], "]"}], ",", "t"}], "]"}], "}"}], 
               ",", "\[IndentingNewLine]", 
               RowBox[{"{", 
                RowBox[{"BCurve", "[", 
                 RowBox[{
                  RowBox[{"zpts", "[", 
                   RowBox[{"[", 
                    RowBox[{"n", "-", "2"}], "]"}], "]"}], ",", 
                  RowBox[{"cpts", "[", 
                   RowBox[{"[", 
                    RowBox[{"n", "-", "1"}], "]"}], "]"}], ",", 
                  RowBox[{"cpts", "[", 
                   RowBox[{"[", "n", "]"}], "]"}], ",", "t"}], "]"}], "}"}]}],
               "\[IndentingNewLine]", "]"}], "\[IndentingNewLine]", "//", 
             "ReIm"}], "//", "Evaluate"}], ",", 
           RowBox[{"{", 
            RowBox[{"t", ",", "0", ",", "1"}], "}"}], ",", 
           RowBox[{"PlotRange", "\[Rule]", 
            RowBox[{"{", 
             RowBox[{
              RowBox[{"-", "8"}], ",", "8"}], "}"}]}], ",", 
           RowBox[{"GridLines", "\[Rule]", 
            RowBox[{"{", 
             RowBox[{
              RowBox[{
               RowBox[{"Range", "[", "40", "]"}], "-", "20"}], ",", 
              RowBox[{
               RowBox[{"Range", "[", "40", "]"}], "-", "20"}]}], "}"}]}], ",", 
           RowBox[{"PlotPoints", "\[Rule]", "20"}], ",", 
           RowBox[{"PlotStyle", "\[Rule]", 
            RowBox[{"{", 
             RowBox[{"{", 
              RowBox[{"Thick", ",", "Red"}], "}"}], "}"}]}], ",", 
           RowBox[{"Axes", "\[Rule]", "False"}], ",", 
           RowBox[{"Epilog", "\[Rule]", 
            RowBox[{"{", 
             RowBox[{
              RowBox[{"{", 
               RowBox[{"Dotted", ",", "\[IndentingNewLine]", 
                RowBox[{"Line", "[", 
                 RowBox[{"Table", "[", 
                  RowBox[{
                   RowBox[{"{", 
                    RowBox[{
                    RowBox[{"pts", "[", 
                    RowBox[{"[", "j", "]"}], "]"}], ",", 
                    RowBox[{"pts", "[", 
                    RowBox[{"[", 
                    RowBox[{"j", "+", "1"}], "]"}], "]"}]}], "}"}], ",", 
                   RowBox[{"{", 
                    RowBox[{"j", ",", "1", ",", 
                    RowBox[{"n", "-", "1"}]}], "}"}]}], "]"}], "]"}]}], 
               "\[IndentingNewLine]", "}"}], ",", 
              RowBox[{"Table", "[", 
               RowBox[{
                RowBox[{"Text", "[", 
                 RowBox[{"k", ",", 
                  RowBox[{
                   RowBox[{"pts", "[", 
                    RowBox[{"[", "k", "]"}], "]"}], "+", 
                   RowBox[{"{", 
                    RowBox[{"0.5", ",", 
                    RowBox[{"-", "0.5"}]}], "}"}]}]}], "]"}], ",", 
                RowBox[{"{", 
                 RowBox[{"k", ",", "1", ",", "n"}], "}"}]}], "]"}], ",", 
              RowBox[{"Point", "[", 
               RowBox[{
                RowBox[{"zpts", "[", 
                 RowBox[{"[", 
                  RowBox[{"2", ";;", 
                   RowBox[{"-", "2"}]}], "]"}], "]"}], "//", "ReIm"}], 
               "]"}]}], "}"}]}]}], "]"}]}], "]"}]}], "]"}]}], "]"}]}], 
  "]"}]], "Input",
 CellOpen->False,
 CellChangeTimes->{{3.807788522998418*^9, 3.807788623452902*^9}, {
   3.8077886862975016`*^9, 3.80778868718814*^9}, {3.80778874640769*^9, 
   3.807788802845953*^9}, {3.8077888452683525`*^9, 3.8077888590654645`*^9}, {
   3.8077891395536346`*^9, 3.8077893166184883`*^9}, {3.8077893716661158`*^9, 
   3.8077893735255504`*^9}, {3.8077900402532825`*^9, 3.807790041190832*^9}, {
   3.8077900870507793`*^9, 3.8077901208012185`*^9}, {3.8077901524267135`*^9, 
   3.8077901981147647`*^9}, {3.807791465647605*^9, 3.8077915745084524`*^9}, {
   3.8077916209465265`*^9, 3.807791648181324*^9}, {3.807792037577151*^9, 
   3.8077921239846363`*^9}, {3.807792188313565*^9, 3.807792198798148*^9}, {
   3.8078365697105975`*^9, 3.807836587161805*^9}, {3.8078368530326977`*^9, 
   3.807836951443075*^9}, {3.8078371468507004`*^9, 3.807837164601796*^9}, {
   3.8078372099512305`*^9, 3.8078372418649607`*^9}, {3.8078372790675645`*^9, 
   3.807837293066909*^9}, {3.807837391366344*^9, 3.80783739966574*^9}, {
   3.807837432551073*^9, 3.807837477228986*^9}, {3.8078375217725344`*^9, 
   3.8078376146611915`*^9}, 3.8078376513674603`*^9, {3.8078377306296654`*^9, 
   3.8078377321819415`*^9}, {3.8078380119087353`*^9, 3.807838033639044*^9}, {
   3.807838147650025*^9, 3.8078381558960257`*^9}, {3.807838455648982*^9, 
   3.8078384858512425`*^9}, {3.8078388844883614`*^9, 
   3.8078388915559125`*^9}, {3.807839413767276*^9, 3.807839492611816*^9}, {
   3.8078395715583324`*^9, 3.8078395831902018`*^9}, 3.8078396973457747`*^9, {
   3.80783978510725*^9, 3.8078399152710986`*^9}, {3.807839965629817*^9, 
   3.807839983791526*^9}, 3.8078401336463113`*^9, {3.8078402169697905`*^9, 
   3.8078402407347183`*^9}, {3.8078404456445055`*^9, 3.807840531905585*^9}, {
   3.8078406700877285`*^9, 3.8078406749275837`*^9}, {3.8078408622466836`*^9, 
   3.8078408910200815`*^9}, {3.807841139510105*^9, 3.807841279471727*^9}, {
   3.8078413747076244`*^9, 3.807841400353052*^9}, {3.8078416219343863`*^9, 
   3.8078416846308627`*^9}, {3.8078417213012915`*^9, 3.807841872143453*^9}, {
   3.8078420683420963`*^9, 3.80784208844645*^9}, {3.8078421281650124`*^9, 
   3.807842160406088*^9}, {3.807842221848263*^9, 3.8078423454072094`*^9}, {
   3.8078424539066925`*^9, 3.8078424801729116`*^9}, {3.807842656800468*^9, 
   3.807842695418182*^9}, {3.8078428161967597`*^9, 3.80784286316819*^9}, {
   3.807842897634181*^9, 3.807843030415278*^9}, {3.807845833020022*^9, 
   3.8078458332122817`*^9}, {3.8078459515310335`*^9, 3.807846021134755*^9}, {
   3.8078461714939384`*^9, 3.807846227763854*^9}, {3.8078464315899973`*^9, 
   3.8078464323082943`*^9}, {3.807919058876813*^9, 3.8079190740320234`*^9}, {
   3.807919201254037*^9, 3.8079192030242853`*^9}, {3.807931265323145*^9, 
   3.807931266963908*^9}, 3.8079315468712807`*^9, {3.8079316497991786`*^9, 
   3.8079316543372498`*^9}, {3.807932268097536*^9, 3.8079322759770284`*^9}, {
   3.8079323257019997`*^9, 3.8079323267390404`*^9}, {3.807932405333562*^9, 
   3.8079324274184237`*^9}, {3.8079324779171815`*^9, 3.807932507304167*^9}, {
   3.807932843378562*^9, 3.80793284503049*^9}, {3.8079328917861147`*^9, 
   3.807932902758236*^9}, {3.8079329561830387`*^9, 3.8079329691882877`*^9}, {
   3.8079330563361444`*^9, 3.807933059350982*^9}, {3.807941254629374*^9, 
   3.8079412562197943`*^9}, 3.807941598255459*^9},
 Background->GrayLevel[0.85],
 CellLabel->"In[16]:=",ExpressionUUID->"4b515b6e-cf0b-412b-a257-6600558fffea"],

Cell[BoxData[
 DynamicModuleBox[{$CellContext`pts$$ = {{-0.1937577932260515, \
-0.46093157579425026`}, {-0.6996633405133653, 0.7144726796328035}, {
   1.3946647288323772`, 
   0.5521868290270168}, {-0.041884839766714255`, -1.999561366949691}, \
{-2.283863644106502, 1.0168416076895008`}, {2.186905882264235, 
   2.0536413177860657`}, {
   1.2200021656263524`, -3.2804869632216205`}, {-3.9964913203954335`, 
   0.16750261491679985`}, {1.9160068120428357`, 4.071721736097084}, {
   3.3456530317942894`, -3.7157241273869723`}, {-5.194070036306144, \
-1.808766557062215}, {0.37674311717588327`, 5.988160370569629}, {
   5.822126441556187, -2.8901286647020217`}, {-5.298965389562298, \
-4.573944227930736}, {-8, 0}}}, 
  LocatorPaneBox[Dynamic[$CellContext`pts$$], 
   DynamicBox[ToBoxes[$CellContext`cpts = Table[Part[
          Part[$CellContext`pts$$, $CellContext`j], 1] + I Part[
           Part[$CellContext`pts$$, $CellContext`j], 2], {$CellContext`j, 1, 
         15}]; $CellContext`zpts = Table[
        $CellContext`pan[
         Part[$CellContext`cpts, $CellContext`j], 
         Part[$CellContext`cpts, $CellContext`j + 1], 0], {$CellContext`j, 1, 
         15 - 1}]; ParametricPlot[
       Evaluate[
        ReIm[
         Join[
          Table[
           $CellContext`BCurve[
            Part[$CellContext`zpts, $CellContext`j], 
            Part[$CellContext`cpts, $CellContext`j + 1], 
            
            Part[$CellContext`zpts, $CellContext`j + 
             1], $CellContext`t], {$CellContext`j, 2, 15 - 3}], {
           $CellContext`BCurve[
            Part[$CellContext`cpts, 1], 
            Part[$CellContext`cpts, 2], 
            Part[$CellContext`zpts, 2], $CellContext`t]}, {
           $CellContext`BCurve[
            Part[$CellContext`zpts, 15 - 2], 
            Part[$CellContext`cpts, 15 - 1], 
            Part[$CellContext`cpts, 15], $CellContext`t]}]]], {$CellContext`t,
         0, 1}, PlotRange -> {-8, 8}, 
       GridLines -> {Range[40] - 20, Range[40] - 20}, PlotPoints -> 20, 
       PlotStyle -> {{Thick, Red}}, Axes -> False, Epilog -> {{Dotted, 
          Line[
           Table[{
             Part[$CellContext`pts$$, $CellContext`j], 
             Part[$CellContext`pts$$, $CellContext`j + 1]}, {$CellContext`j, 
             1, 15 - 1}]]}, 
         Table[
          
          Text[$CellContext`k, 
           Part[$CellContext`pts$$, $CellContext`k] + {
            0.5, -0.5}], {$CellContext`k, 1, 15}], 
         Point[
          ReIm[
           Part[$CellContext`zpts, 
            Span[2, -2]]]]}], StandardForm],
    ImageSizeCache->{540., {239., 247.}}]],
  DynamicModuleValues:>{}]], "Output",
 CellChangeTimes->{
  3.807932278638685*^9, {3.8079323272077246`*^9, 3.8079323460794067`*^9}, {
   3.807932406216968*^9, 3.807932427888323*^9}, {3.8079324791759806`*^9, 
   3.80793250761833*^9}, 3.8079328458246355`*^9, {3.8079328936804967`*^9, 
   3.807932903227351*^9}, {3.8079329600801725`*^9, 3.807932969659911*^9}, 
   3.807933059962669*^9, 3.8079404842623625`*^9, 3.807941256976473*^9, 
   3.8079415991044927`*^9, 3.8079632728714743`*^9},
 CellLabel->"Out[16]=",ExpressionUUID->"a5f549b6-9b8c-4bad-8d09-c5d473a9aeec"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["\:0417\:0430\:043c\:0435\:0447\:0430\:043d\:0438\:044f \:0438 \:043d\
\:044e\:0430\:043d\:0441\:044b", "Section",
 CellChangeTimes->{{3.807572624771587*^9, 3.807572631597833*^9}, {
  3.8075758460187807`*^9, 3.8075758555215144`*^9}, {3.807584182211512*^9, 
  3.807584185869512*^9}, {3.807599597434725*^9, 3.8075995997597284`*^9}, {
  3.8079273081588464`*^9, 
  3.8079273125033226`*^9}},ExpressionUUID->"28b366b3-fbea-4e3b-9832-\
522be860c2af"],

Cell["\<\
\:0412 \:043e\:0442\:043b\:0438\:0447\:0438\:0435 \:043e\:0442 \:043a\:0440\
\:0438\:0432\:044b\:0445 \:0411\:0435\:0437\:044c\:0435, \:0437\:0434\:0435\
\:0441\:044c \:043a\:0440\:0438\:0432\:0430\:044f \:043d\:0435 \:0432\:0441\
\:0435\:0433\:0434\:0430 \:043b\:0435\:0436\:0438\:0442 \:0432\:043d\:0443\
\:0442\:0440\:0438 \:0444\:0438\:0433\:0443\:0440\:044b \:0438\:0437 \:043b\
\:0438\:043d\:0438\:0439, \:0441\:043e\:0435\:0434\:0438\:043d\:044f\:044e\
\:0449\:0438\:0445 \:043a\:043e\:043d\:0442\:0440\:043e\:043b\:044c\:043d\
\:044b\:0435 \:0442\:043e\:0447\:043a\:0438, \:043d\:0430\:043f\:0440\:0438\
\:043c\:0435\:0440\
\>", "Text",
 CellChangeTimes->{{3.8075996049807262`*^9, 3.8075996624357247`*^9}, {
  3.807599724989725*^9, 
  3.8075997534017577`*^9}},ExpressionUUID->"d736c652-21a1-4f42-9d2c-\
63dea447d55b"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"DynamicModule", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"pts", "=", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{"0", ",", "0"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{"2", ",", "0"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{"15", ",", "15"}], "}"}]}], "}"}]}], "}"}], ",", 
   RowBox[{"LocatorPane", "[", 
    RowBox[{
     RowBox[{"Dynamic", "[", "pts", "]"}], ",", 
     RowBox[{"Dynamic", "[", "\[IndentingNewLine]", 
      RowBox[{"Module", "[", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{
         "a", ",", "b", ",", "c", ",", "d", ",", "rad", ",", "rbd", ",", "rm",
           ",", "rp", ",", "v", ",", "argm", ",", "args"}], "}"}], ",", 
        "\[IndentingNewLine]", 
        RowBox[{
         RowBox[{"a", "=", 
          RowBox[{
           RowBox[{
            RowBox[{"pts", "[", 
             RowBox[{"[", "1", "]"}], "]"}], "[", 
            RowBox[{"[", "1", "]"}], "]"}], "+", 
           RowBox[{"I", " ", 
            RowBox[{
             RowBox[{"pts", "[", 
              RowBox[{"[", "1", "]"}], "]"}], "[", 
             RowBox[{"[", "2", "]"}], "]"}]}]}]}], ";", "\[IndentingNewLine]", 
         RowBox[{"c", "=", 
          RowBox[{
           RowBox[{
            RowBox[{"pts", "[", 
             RowBox[{"[", "2", "]"}], "]"}], "[", 
            RowBox[{"[", "1", "]"}], "]"}], "+", 
           RowBox[{"I", " ", 
            RowBox[{
             RowBox[{"pts", "[", 
              RowBox[{"[", "2", "]"}], "]"}], "[", 
             RowBox[{"[", "2", "]"}], "]"}]}]}]}], ";", "\[IndentingNewLine]", 
         RowBox[{"b", "=", 
          RowBox[{
           RowBox[{
            RowBox[{"pts", "[", 
             RowBox[{"[", "3", "]"}], "]"}], "[", 
            RowBox[{"[", "1", "]"}], "]"}], "+", 
           RowBox[{"I", " ", 
            RowBox[{
             RowBox[{"pts", "[", 
              RowBox[{"[", "3", "]"}], "]"}], "[", 
             RowBox[{"[", "2", "]"}], "]"}]}]}]}], ";", "\[IndentingNewLine]", 
         RowBox[{"d", "=", 
          RowBox[{
           RowBox[{"(", 
            RowBox[{
             RowBox[{
              RowBox[{"(", 
               RowBox[{
                RowBox[{"2", " ", "a"}], "-", "c"}], ")"}], " ", 
              RowBox[{"(", 
               RowBox[{"c", "-", "b"}], ")"}], " ", 
              RowBox[{"Conjugate", "[", "a", "]"}]}], "-", 
             RowBox[{"c", " ", 
              RowBox[{"(", 
               RowBox[{"a", "-", "b"}], ")"}], " ", 
              RowBox[{"Conjugate", "[", "c", "]"}]}], "+", 
             RowBox[{
              RowBox[{"(", 
               RowBox[{"a", "-", "c"}], ")"}], " ", 
              RowBox[{"(", 
               RowBox[{
                RowBox[{"2", " ", "b"}], "-", "c"}], ")"}], " ", 
              RowBox[{"Conjugate", "[", "b", "]"}]}]}], ")"}], "/", 
           RowBox[{"(", 
            RowBox[{
             RowBox[{
              RowBox[{"(", 
               RowBox[{"c", "-", "b"}], ")"}], " ", 
              RowBox[{"Conjugate", "[", "a", "]"}]}], "-", 
             RowBox[{
              RowBox[{"(", 
               RowBox[{"a", "-", "b"}], ")"}], " ", 
              RowBox[{"Conjugate", "[", "c", "]"}]}], "+", 
             RowBox[{
              RowBox[{"(", 
               RowBox[{"a", "-", "c"}], ")"}], " ", 
              RowBox[{"Conjugate", "[", "b", "]"}]}]}], ")"}]}]}], ";", 
         "\[IndentingNewLine]", 
         RowBox[{"rad", "=", 
          RowBox[{"Abs", "[", 
           RowBox[{"a", "-", "d"}], "]"}]}], ";", "\[IndentingNewLine]", 
         RowBox[{"rbd", "=", 
          RowBox[{"Abs", "[", 
           RowBox[{"b", "-", "d"}], "]"}]}], ";", "\[IndentingNewLine]", 
         RowBox[{"rm", "=", 
          RowBox[{"rad", "-", "rbd"}]}], ";", "\[IndentingNewLine]", 
         RowBox[{"rp", "=", 
          RowBox[{"rad", "+", "rbd"}]}], ";", "\[IndentingNewLine]", 
         RowBox[{"v", "=", 
          RowBox[{
           FractionBox["1", "2"], " ", 
           RowBox[{"Sign", "[", 
            RowBox[{"a", "-", "d"}], "]"}]}]}], ";", "\[IndentingNewLine]", 
         RowBox[{"argm", "=", 
          RowBox[{"Arg", "[", 
           FractionBox[
            RowBox[{"a", "-", "d"}], 
            RowBox[{"b", "-", "d"}]], "]"}]}], ";", "\[IndentingNewLine]", 
         RowBox[{"args", "=", 
          RowBox[{"Arg", "[", 
           RowBox[{"-", 
            FractionBox[
             RowBox[{"a", "-", "d"}], 
             RowBox[{"b", "-", "d"}]]}], "]"}]}], ";", "\[IndentingNewLine]", 
         RowBox[{"ParametricPlot", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", "\[IndentingNewLine]", 
              RowBox[{"d", "+", 
               RowBox[{"v", 
                RowBox[{"(", "  ", 
                 RowBox[{
                  RowBox[{"rp", " ", 
                   SuperscriptBox["\[ExponentialE]", 
                    RowBox[{
                    RowBox[{"-", "\[ImaginaryI]"}], " ", "t", " ", 
                    "argm"}]]}], "+", 
                  RowBox[{"rm", " ", 
                   SuperscriptBox["\[ExponentialE]", 
                    RowBox[{
                    RowBox[{"-", "\[ImaginaryI]"}], " ", "t", " ", 
                    "args"}]]}]}], ")"}]}]}], "\[IndentingNewLine]", "}"}], "//",
              "ReIm"}], "//", "Evaluate"}], ",", 
           RowBox[{"{", 
            RowBox[{"t", ",", "0", ",", "1"}], "}"}], ",", 
           RowBox[{"PlotRange", "\[Rule]", 
            RowBox[{"{", 
             RowBox[{
              RowBox[{"-", "1"}], ",", "16"}], "}"}]}], ",", 
           RowBox[{"PlotStyle", "\[Rule]", 
            RowBox[{"{", 
             RowBox[{"Thick", ",", "Red"}], "}"}]}], ",", 
           RowBox[{"GridLines", "\[Rule]", 
            RowBox[{"{", 
             RowBox[{
              RowBox[{
               RowBox[{"Range", "[", "40", "]"}], "-", "20"}], ",", 
              RowBox[{
               RowBox[{"Range", "[", "40", "]"}], "-", "20"}]}], "}"}]}], ",", 
           RowBox[{"Axes", "\[Rule]", "False"}], ",", "\[IndentingNewLine]", 
           RowBox[{"Epilog", "\[Rule]", 
            RowBox[{"{", "\[IndentingNewLine]", 
             RowBox[{
              RowBox[{"{", 
               RowBox[{
                RowBox[{"PointSize", "[", "0.015", "]"}], ",", 
                RowBox[{"Point", "[", 
                 RowBox[{"d", "//", "ReIm"}], "]"}]}], "}"}], ",", 
              "\[IndentingNewLine]", 
              RowBox[{"{", 
               RowBox[{"Dashed", ",", 
                RowBox[{"Line", "[", 
                 RowBox[{"{", 
                  RowBox[{
                   RowBox[{
                    RowBox[{
                    RowBox[{"2", "a"}], "-", "c"}], "//", "ReIm"}], ",", 
                   RowBox[{"c", "//", "ReIm"}]}], "}"}], "]"}], ",", 
                RowBox[{"Line", "[", 
                 RowBox[{"{", 
                  RowBox[{
                   RowBox[{"c", "//", "ReIm"}], ",", 
                   RowBox[{
                    RowBox[{
                    RowBox[{"2", "b"}], "-", "c"}], "//", "ReIm"}]}], "}"}], 
                 "]"}]}], "}"}], ",", "\[IndentingNewLine]", 
              RowBox[{"{", 
               RowBox[{"Dotted", ",", 
                RowBox[{"Line", "[", 
                 RowBox[{"{", 
                  RowBox[{
                   RowBox[{
                    RowBox[{
                    RowBox[{"2", "d"}], "-", "a"}], "//", "ReIm"}], ",", 
                   RowBox[{"a", "//", "ReIm"}]}], "}"}], "]"}], ",", 
                RowBox[{"Line", "[", 
                 RowBox[{"{", 
                  RowBox[{
                   RowBox[{
                    RowBox[{
                    RowBox[{"2", "d"}], "-", "b"}], "//", "ReIm"}], ",", 
                   RowBox[{"b", "//", "ReIm"}]}], "}"}], "]"}]}], "}"}], ",", 
              "\[IndentingNewLine]", 
              RowBox[{"{", 
               RowBox[{"Black", ",", 
                RowBox[{"Opacity", "[", "0.15", "]"}], ",", "Thin", ",", 
                RowBox[{"Circle", "[", 
                 RowBox[{
                  RowBox[{"d", "//", "ReIm"}], ",", "rad"}], "]"}], ",", 
                RowBox[{"Circle", "[", 
                 RowBox[{
                  RowBox[{"d", "//", "ReIm"}], ",", "rbd"}], "]"}]}], 
               "\[IndentingNewLine]", "}"}]}], "\[IndentingNewLine]", 
             "}"}]}]}], "\[IndentingNewLine]", "]"}]}]}], "]"}], "]"}]}], 
    "]"}]}], "]"}]], "Input",
 CellOpen->False,
 CellChangeTimes->{{3.80751246704524*^9, 3.807512474551221*^9}, {
   3.807512830623244*^9, 3.807512997377219*^9}, {3.807513082120242*^9, 
   3.8075131727072396`*^9}, {3.807513205924226*^9, 3.8075132243972807`*^9}, {
   3.80751327834725*^9, 3.807513351560279*^9}, {3.8075134043642187`*^9, 
   3.8075134102572556`*^9}, {3.807513548392222*^9, 3.8075135659952545`*^9}, {
   3.8075153564427795`*^9, 3.8075153640520945`*^9}, {3.807515679833352*^9, 
   3.80751575014584*^9}, {3.8075172991699743`*^9, 3.8075173028464923`*^9}, {
   3.807517415178837*^9, 3.8075174153104544`*^9}, {3.8075181437375813`*^9, 
   3.80751816187613*^9}, {3.8075182256410046`*^9, 3.807518252009247*^9}, {
   3.807518292114674*^9, 3.8075184403553276`*^9}, {3.8075189855252433`*^9, 
   3.8075189860428567`*^9}, 3.8075778851184454`*^9, {3.8075779208307333`*^9, 
   3.807577925635852*^9}, {3.807577963308027*^9, 3.8075780103340793`*^9}, {
   3.8075780404779773`*^9, 3.8075780638704524`*^9}, {3.807578124748721*^9, 
   3.807578136795001*^9}, {3.807578172885457*^9, 3.807578180456811*^9}, {
   3.807578211678213*^9, 3.8075782172228374`*^9}, {3.8075787237717533`*^9, 
   3.8075787245383005`*^9}, {3.8075788854994717`*^9, 3.807578901976491*^9}, {
   3.8075790777247515`*^9, 3.807579079249488*^9}, {3.807942455852599*^9, 
   3.807942544748217*^9}, {3.807942616240444*^9, 3.8079426445548687`*^9}, {
   3.807942681861024*^9, 3.807942764515707*^9}, {3.807943251550458*^9, 
   3.8079432535834737`*^9}, 3.807943298022168*^9},
 Background->GrayLevel[0.85],
 CellLabel->"In[17]:=",ExpressionUUID->"9658d327-eff4-4662-a253-834f260237e1"],

Cell[BoxData[
 DynamicModuleBox[{$CellContext`pts$$ = {{0, 0}, {2, 0}, {15, 15}}}, 
  LocatorPaneBox[Dynamic[$CellContext`pts$$], 
   DynamicBox[ToBoxes[
     Module[{$CellContext`a$, $CellContext`b$, $CellContext`c$, \
$CellContext`d$, $CellContext`rad$, $CellContext`rbd$, $CellContext`rm$, \
$CellContext`rp$, $CellContext`v$, $CellContext`argm$, $CellContext`args$}, \
$CellContext`a$ = Part[
          Part[$CellContext`pts$$, 1], 1] + I Part[
           Part[$CellContext`pts$$, 1], 2]; $CellContext`c$ = Part[
          Part[$CellContext`pts$$, 2], 1] + I Part[
           Part[$CellContext`pts$$, 2], 2]; $CellContext`b$ = Part[
          Part[$CellContext`pts$$, 3], 1] + I Part[
           Part[$CellContext`pts$$, 3], 2]; $CellContext`d$ = ((
           2 $CellContext`a$ - $CellContext`c$) ($CellContext`c$ - \
$CellContext`b$) 
          Conjugate[$CellContext`a$] - $CellContext`c$ ($CellContext`a$ - \
$CellContext`b$) 
         Conjugate[$CellContext`c$] + ($CellContext`a$ - $CellContext`c$) (
           2 $CellContext`b$ - $CellContext`c$) 
          Conjugate[$CellContext`b$])/(($CellContext`c$ - $CellContext`b$) 
         Conjugate[$CellContext`a$] - ($CellContext`a$ - $CellContext`b$) 
        Conjugate[$CellContext`c$] + ($CellContext`a$ - $CellContext`c$) 
         Conjugate[$CellContext`b$]); $CellContext`rad$ = 
       Abs[$CellContext`a$ - $CellContext`d$]; $CellContext`rbd$ = 
       Abs[$CellContext`b$ - $CellContext`d$]; $CellContext`rm$ = \
$CellContext`rad$ - $CellContext`rbd$; $CellContext`rp$ = $CellContext`rad$ + \
$CellContext`rbd$; $CellContext`v$ = (1/2) 
        Sign[$CellContext`a$ - $CellContext`d$]; $CellContext`argm$ = 
       Arg[($CellContext`a$ - $CellContext`d$)/($CellContext`b$ - \
$CellContext`d$)]; $CellContext`args$ = 
       Arg[-(($CellContext`a$ - $CellContext`d$)/($CellContext`b$ - \
$CellContext`d$))]; ParametricPlot[
        Evaluate[
         ReIm[{$CellContext`d$ + $CellContext`v$ ($CellContext`rp$ 
              E^((-I) $CellContext`t $CellContext`argm$) + $CellContext`rm$ 
              E^((-I) $CellContext`t $CellContext`args$))}]], {$CellContext`t,
          0, 1}, PlotRange -> {-1, 16}, PlotStyle -> {Thick, Red}, 
        GridLines -> {Range[40] - 20, Range[40] - 20}, Axes -> False, 
        Epilog -> {{
           PointSize[0.015], 
           Point[
            ReIm[$CellContext`d$]]}, {Dashed, 
           Line[{
             ReIm[2 $CellContext`a$ - $CellContext`c$], 
             ReIm[$CellContext`c$]}], 
           Line[{
             ReIm[$CellContext`c$], 
             ReIm[2 $CellContext`b$ - $CellContext`c$]}]}, {Dotted, 
           Line[{
             ReIm[2 $CellContext`d$ - $CellContext`a$], 
             ReIm[$CellContext`a$]}], 
           Line[{
             ReIm[2 $CellContext`d$ - $CellContext`b$], 
             ReIm[$CellContext`b$]}]}, {Black, 
           Opacity[0.15], Thin, 
           Circle[
            ReIm[$CellContext`d$], $CellContext`rad$], 
           Circle[
            ReIm[$CellContext`d$], $CellContext`rbd$]}}]], StandardForm],
    ImageSizeCache->{540., {239., 247.}}]],
  DynamicModuleValues:>{}]], "Output",
 CellChangeTimes->{3.8079427986438093`*^9, 3.8079432545211716`*^9, 
  3.807943299906577*^9, 3.807963272940555*^9},
 CellLabel->"Out[17]=",ExpressionUUID->"27ed2f06-9938-4618-912b-becdd52ca282"]
}, Open  ]],

Cell["\<\
\:041a\:0440\:043e\:043c\:0435 \:0442\:043e\:0433\:043e, \:0441\:0443\:0449\
\:0435\:0441\:0442\:0432\:0443\:0435\:0442 \:0432\:044b\:0440\:043e\:0436\
\:0434\:0435\:043d\:043d\:044b\:0439 \:0441\:043b\:0443\:0447\:0430\:0439, \
\:043a\:043e\:0442\:043e\:0440\:044b\:0439 \:043d\:0435\:043e\:0431\:0445\
\:043e\:0434\:0438\:043c\:043e \:043e\:0431\:0440\:0430\:0431\:0430\:0442\
\:044b\:0432\:0430\:0442\:044c \:043e\:0442\:0434\:0435\:043b\:044c\:043d\
\:043e - \:043a\:043e\:0433\:0434\:0430 \:043d\:0430\:043f\:0440\:0430\:0432\
\:043b\:044f\:044e\:0449\:0430\:044f \:0442\:043e\:0447\:043a\:0430 \:043b\
\:0435\:0436\:0438\:0442 \:043d\:0430 \:043e\:0434\:043d\:043e\:0439 \:043f\
\:0440\:044f\:043c\:043e\:0439 \:0441 \:0443\:0437\:043b\:043e\:0432\:044b\
\:043c\:0438 \:0442\:043e\:0447\:043a\:0430\:043c\:0438. \:041f\:0440\:0438 \
\:044d\:0442\:043e\:043c \:043a\:0440\:0438\:0432\:0430\:044f \:0432\:044b\
\:0440\:043e\:0436\:0434\:0430\:0435\:0442\:0441\:044f \:0432 \:043f\:0440\
\:044f\:043c\:0443\:044e, \:0430 \:043f\:0440\:0438 \:043f\:043e\:043f\:044b\
\:0442\:043a\:0435 \:0432\:044b\:0447\:0438\:0441\:043b\:0438\:0442\:044c \
\:0442\:043e\:0447\:043a\:0443 d \:0432\:043e\:0437\:043d\:0438\:043a\:0430\
\:0435\:0442 \:0434\:0435\:043b\:0435\:043d\:0438\:0435 \:043d\:0430 \:043d\
\:043e\:043b\:044c.

\:0423 \:044d\:0442\:0438\:0445 \:043a\:0440\:0438\:0432\:044b\:0445 \:0442\
\:0430\:043a\:0436\:0435 \:0438\:043c\:0435\:0435\:0442\:0441\:044f \:043e\
\:0433\:0440\:0430\:043d\:0438\:0447\:0435\:043d\:0438\:044f \:043d\:0430 \
\:043a\:0440\:0438\:0432\:0438\:0437\:043d\:0443 \:043b\:0438\:043d\:0438\
\:0438, \:043f\:043e\:0441\:043a\:043e\:043b\:044c\:043a\:0443 \:0432 \:0441\
\:043e\:043e\:0442\:0432\:0435\:0442\:0441\:0442\:0432\:0438\:0438 \:0441 \
\:0430\:043b\:0433\:043e\:0440\:0438\:0442\:043c\:043e\:043c \:0432\:044b\
\:0431\:0438\:0440\:0430\:0435\:0442\:0441\:044f \:043d\:0430\:0438\:043c\
\:0435\:043d\:044c\:0448\:0438\:0439 \:043f\:0443\:0442\:044c \:0441\:043b\
\:0435\:0434\:043e\:0432\:0430\:043d\:0438\:044f \:0438 \:043a\:0440\:0438\
\:0432\:0430\:044f \:043d\:0435 \:043c\:043e\:0436\:0435\:0442 \:043e\:0431\
\:043e\:0433\:043d\:0443\:0442\:044c \:0431\:043e\:043b\:044c\:0448\:0435, \
\:0447\:0435\:043c 180\[Degree]. \:042d\:0442\:043e \:043f\:0440\:0438\:0432\
\:043e\:0434\:0438\:0442 \:043a \:0442\:043e\:043c\:0443, \:0447\:0442\:043e \
\:043f\:0440\:0438 \:043a\:0443\:0441\:043e\:0447\:043d\:043e-\:043d\:0435\
\:043f\:0440\:0435\:0440\:044b\:0432\:043d\:043e\:0439 \:0438\:043d\:0442\
\:0435\:0440\:043f\:043e\:043b\:044f\:0446\:0438\:0438 \:043c\:043e\:0433\
\:0443\:0442 \:0432\:043e\:0437\:043d\:0438\:043a\:0430\:0442\:044c \:043e\
\:0441\:0442\:0440\:044b\:0435 \:0443\:0433\:043b\:044b \:043f\:0440\:0438 \
\:043e\:043f\:0440\:0435\:0434\:0435\:043b\:0451\:043d\:043d\:043e\:043c \
\:043f\:043e\:043b\:043e\:0436\:0435\:043d\:0438\:0438 \:043d\:0430\:043f\
\:0440\:0430\:0432\:043b\:044f\:044e\:0449\:0438\:0445 \:0442\:043e\:0447\
\:0435\:043a.\
\>", "Text",
 CellChangeTimes->{{3.8075997588187246`*^9, 3.8075997944677286`*^9}, {
  3.807599936216571*^9, 3.807600066918395*^9}, {3.8076001145669518`*^9, 
  3.807600122964161*^9}, {3.807600162905971*^9, 3.8076001642050343`*^9}, {
  3.807600252384818*^9, 3.807600256667265*^9}, {3.8076003066572843`*^9, 
  3.807600309030572*^9}, {3.807600377331918*^9, 3.807600460823138*^9}, {
  3.8076005004480886`*^9, 3.8076005884603043`*^9}, {3.80760063390467*^9, 
  3.8076007216142607`*^9}, {3.807600763197909*^9, 3.807600770778427*^9}, {
  3.8076008052867117`*^9, 3.807600970795401*^9}, {3.807854019197871*^9, 
  3.8078541022627077`*^9}, {3.8078541462722034`*^9, 3.8078541471814404`*^9}, {
  3.8079262077007904`*^9, 3.807926229125396*^9}, {3.8079272609668875`*^9, 
  3.807927261894429*^9}, {3.8079277699547124`*^9, 3.8079278973198705`*^9}, {
  3.807927987686982*^9, 
  3.807928044970202*^9}},ExpressionUUID->"6e3b3b65-cf79-4a6f-ba01-\
9de4cd85ed76"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"With", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"n", "=", "6"}], "}"}], ",", 
   RowBox[{
    RowBox[{"Manipulate", "[", 
     RowBox[{
      RowBox[{"DynamicModule", "[", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{"pts", "=", 
          RowBox[{"ReIm", "/@", 
           RowBox[{"{", 
            RowBox[{
             RowBox[{"1", "-", 
              RowBox[{"7", "I"}]}], ",", 
             RowBox[{"-", "11"}], ",", 
             RowBox[{"5", "+", 
              RowBox[{"10", "I"}]}], ",", 
             RowBox[{
              RowBox[{"-", "6"}], "+", 
              RowBox[{"2", "I"}]}], ",", 
             RowBox[{"7", "-", 
              RowBox[{"2", "I"}]}], ",", 
             RowBox[{"7", "-", 
              RowBox[{"1", "I"}]}]}], "}"}]}]}], "}"}], ",", 
        RowBox[{"LocatorPane", "[", 
         RowBox[{
          RowBox[{"Dynamic", "[", "pts", "]"}], ",", 
          RowBox[{"Dynamic", "[", "\[IndentingNewLine]", 
           RowBox[{
            RowBox[{"cpts", "=", 
             RowBox[{"Table", "[", 
              RowBox[{
               RowBox[{
                RowBox[{
                 RowBox[{"pts", "[", 
                  RowBox[{"[", "j", "]"}], "]"}], "[", 
                 RowBox[{"[", "1", "]"}], "]"}], "+", 
                RowBox[{"I", " ", 
                 RowBox[{
                  RowBox[{"pts", "[", 
                   RowBox[{"[", "j", "]"}], "]"}], "[", 
                  RowBox[{"[", "2", "]"}], "]"}]}]}], ",", 
               RowBox[{"{", 
                RowBox[{"j", ",", "1", ",", "n"}], "}"}]}], "]"}]}], ";", 
            "\[IndentingNewLine]", 
            RowBox[{"zz", "=", 
             RowBox[{"{", 
              RowBox[{
               SubscriptBox["z", "1"], ",", 
               SubscriptBox["z", "2"], ",", 
               SubscriptBox["z", "3"], ",", 
               SubscriptBox["z", "4"], ",", 
               SubscriptBox["z", "5"]}], "}"}]}], ";", "\[IndentingNewLine]", 
            RowBox[{"zpts", "=", 
             RowBox[{"Table", "[", 
              RowBox[{
               RowBox[{"pan", "[", 
                RowBox[{
                 RowBox[{"cpts", "[", 
                  RowBox[{"[", "j", "]"}], "]"}], ",", 
                 RowBox[{"cpts", "[", 
                  RowBox[{"[", 
                   RowBox[{"j", "+", "1"}], "]"}], "]"}], ",", 
                 RowBox[{"zz", "[", 
                  RowBox[{"[", "j", "]"}], "]"}]}], "]"}], ",", 
               RowBox[{"{", 
                RowBox[{"j", ",", "1", ",", 
                 RowBox[{"n", "-", "1"}]}], "}"}]}], "]"}]}], ";", 
            "\[IndentingNewLine]", 
            RowBox[{"ParametricPlot", "[", "\[IndentingNewLine]", 
             RowBox[{
              RowBox[{
               RowBox[{
                RowBox[{"Table", "[", 
                 RowBox[{
                  RowBox[{"ArcCurve", "[", 
                   RowBox[{
                    RowBox[{"zpts", "[", 
                    RowBox[{"[", "j", "]"}], "]"}], ",", 
                    RowBox[{"cpts", "[", 
                    RowBox[{"[", 
                    RowBox[{"j", "+", "1"}], "]"}], "]"}], ",", 
                    RowBox[{"zpts", "[", 
                    RowBox[{"[", 
                    RowBox[{"j", "+", "1"}], "]"}], "]"}], ",", "t"}], "]"}], 
                  ",", 
                  RowBox[{"{", 
                   RowBox[{"j", ",", "1", ",", 
                    RowBox[{"n", "-", "2"}]}], "}"}]}], "]"}], 
                "\[IndentingNewLine]", "\[IndentingNewLine]", "//", "ReIm"}], 
               "//", "Evaluate"}], ",", 
              RowBox[{"{", 
               RowBox[{"t", ",", "0", ",", "1"}], "}"}], ",", 
              RowBox[{"PlotRange", "\[Rule]", 
               RowBox[{"{", 
                RowBox[{
                 RowBox[{"-", "10"}], ",", "10"}], "}"}]}], ",", 
              RowBox[{"GridLines", "\[Rule]", 
               RowBox[{"{", 
                RowBox[{
                 RowBox[{
                  RowBox[{"Range", "[", "40", "]"}], "-", "20"}], ",", 
                 RowBox[{
                  RowBox[{"Range", "[", "40", "]"}], "-", "20"}]}], "}"}]}], 
              ",", 
              RowBox[{"Axes", "\[Rule]", "False"}], ",", 
              RowBox[{"PlotPoints", "\[Rule]", "20"}], ",", 
              RowBox[{"PlotStyle", "\[Rule]", 
               RowBox[{"{", 
                RowBox[{"{", 
                 RowBox[{"Thick", ",", "Red"}], "}"}], "}"}]}], ",", 
              "\[IndentingNewLine]", 
              RowBox[{"Epilog", "\[Rule]", 
               RowBox[{"{", 
                RowBox[{
                 RowBox[{"{", 
                  RowBox[{"Dotted", ",", "\[IndentingNewLine]", 
                   RowBox[{"Line", "[", 
                    RowBox[{"Table", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{
                    RowBox[{"pts", "[", 
                    RowBox[{"[", "j", "]"}], "]"}], ",", 
                    RowBox[{"pts", "[", 
                    RowBox[{"[", 
                    RowBox[{"j", "+", "1"}], "]"}], "]"}]}], "}"}], ",", 
                    RowBox[{"{", 
                    RowBox[{"j", ",", "1", ",", 
                    RowBox[{"n", "-", "1"}]}], "}"}]}], "]"}], "]"}]}], 
                  "\[IndentingNewLine]", "}"}], ",", 
                 RowBox[{"Table", "[", 
                  RowBox[{
                   RowBox[{"Text", "[", 
                    RowBox[{"k", ",", 
                    RowBox[{
                    RowBox[{"pts", "[", 
                    RowBox[{"[", "k", "]"}], "]"}], "+", 
                    RowBox[{"{", 
                    RowBox[{"0.5", ",", 
                    RowBox[{"-", "0.5"}]}], "}"}]}]}], "]"}], ",", 
                   RowBox[{"{", 
                    RowBox[{"k", ",", "1", ",", "n"}], "}"}]}], "]"}], ",", 
                 RowBox[{"Point", "[", 
                  RowBox[{"zpts", "//", "ReIm"}], "]"}]}], "}"}]}]}], "]"}]}],
            "]"}]}], "]"}]}], "]"}], ",", "\[IndentingNewLine]", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{
          SubscriptBox["z", "1"], ",", "0.42"}], "}"}], ",", 
        RowBox[{"-", "1"}], ",", "1"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{
          SubscriptBox["z", "2"], ",", 
          RowBox[{"-", "0.2"}]}], "}"}], ",", 
        RowBox[{"-", "1"}], ",", "1"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{
          SubscriptBox["z", "3"], ",", "0"}], "}"}], ",", 
        RowBox[{"-", "1"}], ",", "1"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{
          SubscriptBox["z", "4"], ",", "0.18"}], "}"}], ",", 
        RowBox[{"-", "1"}], ",", "1"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{
          SubscriptBox["z", "5"], ",", "0"}], "}"}], ",", 
        RowBox[{"-", "1"}], ",", "1"}], "}"}]}], "]"}], "//", "Evaluate"}]}], 
  "]"}]], "Input",
 CellOpen->False,
 CellChangeTimes->{
  3.807928192498728*^9, 3.807928246298127*^9, {3.8079288932970285`*^9, 
   3.807928958167844*^9}, {3.807929009457405*^9, 3.8079290102223377`*^9}, {
   3.8079291595934925`*^9, 3.8079291841549163`*^9}, {3.8079293082685647`*^9, 
   3.807929310645993*^9}, {3.8079293511653347`*^9, 3.8079293657510157`*^9}, {
   3.807929445029255*^9, 3.8079295008557644`*^9}, {3.807929541083209*^9, 
   3.807929554739802*^9}, {3.807929674724578*^9, 3.807929717652869*^9}, {
   3.807929761957958*^9, 3.8079297620375*^9}, {3.8079298476327667`*^9, 
   3.8079298506746287`*^9}, {3.8079303387072544`*^9, 3.807930366730529*^9}, {
   3.807930411044833*^9, 3.8079304201914883`*^9}, {3.807931805345531*^9, 
   3.807931805445218*^9}, {3.80794162709507*^9, 3.8079416326366806`*^9}, {
   3.807941687757064*^9, 3.8079416937580385`*^9}, 3.8079417569657617`*^9, {
   3.8079429578768196`*^9, 3.807942959235338*^9}, {3.807943015983489*^9, 
   3.807943018248376*^9}, 3.807943144438943*^9},
 Background->GrayLevel[0.85],
 CellLabel->"In[18]:=",ExpressionUUID->"94ac7b42-522c-494b-b140-5763b47e1f06"],

Cell[BoxData[
 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`$11$$ = 
    0.42, $CellContext`$12$$ = -0.2, $CellContext`$13$$ = 
    0, $CellContext`$14$$ = 0.18, $CellContext`$15$$ = 0, Typeset`show$$ = 
    True, Typeset`bookmarkList$$ = {}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{{
       Hold[$CellContext`$11$$], 0.42, 
       RawBoxes[
        SubscriptBox["z", "1"]]}, -1, 1}, {{
       Hold[$CellContext`$12$$], -0.2, 
       RawBoxes[
        SubscriptBox["z", "2"]]}, -1, 1}, {{
       Hold[$CellContext`$13$$], 0, 
       RawBoxes[
        SubscriptBox["z", "3"]]}, -1, 1}, {{
       Hold[$CellContext`$14$$], 0.18, 
       RawBoxes[
        SubscriptBox["z", "4"]]}, -1, 1}, {{
       Hold[$CellContext`$15$$], 0, 
       RawBoxes[
        SubscriptBox["z", "5"]]}, -1, 1}}, Typeset`size$$ = {
    550., {243., 253.}}, Typeset`update$$ = 0, Typeset`initDone$$, 
    Typeset`skipInitDone$$ = True, $CellContext`$11$3433$$ = 
    0, $CellContext`$12$3434$$ = 0, $CellContext`$13$3435$$ = 
    0, $CellContext`$14$3436$$ = 0, $CellContext`$15$3437$$ = 0}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     1, StandardForm, 
      "Variables" :> {$CellContext`$11$$ = 
        0.42, $CellContext`$12$$ = -0.2, $CellContext`$13$$ = 
        0, $CellContext`$14$$ = 0.18, $CellContext`$15$$ = 0}, 
      "ControllerVariables" :> {
        Hold[$CellContext`$11$$, $CellContext`$11$3433$$, 0], 
        Hold[$CellContext`$12$$, $CellContext`$12$3434$$, 0], 
        Hold[$CellContext`$13$$, $CellContext`$13$3435$$, 0], 
        Hold[$CellContext`$14$$, $CellContext`$14$3436$$, 0], 
        Hold[$CellContext`$15$$, $CellContext`$15$3437$$, 0]}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, "Body" :> 
      DynamicModule[{$CellContext`pts = 
         Map[ReIm, {1 - 7 I, -11, 5 + 10 I, -6 + 2 I, 7 - 2 I, 7 - 1 I}]}, 
        LocatorPane[
         Dynamic[$CellContext`pts], 
         Dynamic[$CellContext`cpts = Table[Part[
               Part[$CellContext`pts, $CellContext`j], 1] + I Part[
                Part[$CellContext`pts, $CellContext`j], 2], {$CellContext`j, 
              1, 6}]; $CellContext`zz = {$CellContext`$11$$, \
$CellContext`$12$$, $CellContext`$13$$, $CellContext`$14$$, \
$CellContext`$15$$}; $CellContext`zpts = Table[
             $CellContext`pan[
              Part[$CellContext`cpts, $CellContext`j], 
              Part[$CellContext`cpts, $CellContext`j + 1], 
              Part[$CellContext`zz, $CellContext`j]], {$CellContext`j, 1, 6 - 
              1}]; ParametricPlot[
            Evaluate[
             ReIm[
              Table[
               $CellContext`ArcCurve[
                Part[$CellContext`zpts, $CellContext`j], 
                Part[$CellContext`cpts, $CellContext`j + 1], 
                
                Part[$CellContext`zpts, $CellContext`j + 
                 1], $CellContext`t], {$CellContext`j, 1, 6 - 
                2}]]], {$CellContext`t, 0, 1}, PlotRange -> {-10, 10}, 
            GridLines -> {Range[40] - 20, Range[40] - 20}, Axes -> False, 
            PlotPoints -> 20, PlotStyle -> {{Thick, Red}}, Epilog -> {{Dotted, 
               Line[
                Table[{
                  Part[$CellContext`pts, $CellContext`j], 
                  
                  Part[$CellContext`pts, $CellContext`j + 
                   1]}, {$CellContext`j, 1, 6 - 1}]]}, 
              Table[
               
               Text[$CellContext`k, 
                Part[$CellContext`pts, $CellContext`k] + {
                 0.5, -0.5}], {$CellContext`k, 1, 6}], 
              Point[
               ReIm[$CellContext`zpts]]}]]]], 
      "Specifications" :> {{{$CellContext`$11$$, 0.42, 
          RawBoxes[
           SubscriptBox["z", "1"]]}, -1, 1}, {{$CellContext`$12$$, -0.2, 
          RawBoxes[
           SubscriptBox["z", "2"]]}, -1, 1}, {{$CellContext`$13$$, 0, 
          RawBoxes[
           SubscriptBox["z", "3"]]}, -1, 1}, {{$CellContext`$14$$, 0.18, 
          RawBoxes[
           SubscriptBox["z", "4"]]}, -1, 1}, {{$CellContext`$15$$, 0, 
          RawBoxes[
           SubscriptBox["z", "5"]]}, -1, 1}}, "Options" :> {}, 
      "DefaultOptions" :> {}],
     ImageSizeCache->{622., {371., 380.}},
     SingleEvaluation->True],
    Deinitialization:>None,
    DynamicModuleValues:>{},
    SynchronousInitialization->True,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Manipulate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellChangeTimes->{{3.8079303259165306`*^9, 3.807930367861935*^9}, 
   3.8079304205185513`*^9, {3.807931786233079*^9, 3.807931806473345*^9}, 
   3.8079318534997864`*^9, 3.8079321886568446`*^9, 3.807933205764347*^9, 
   3.8079404843431454`*^9, 3.8079416348645477`*^9, 3.8079416981092415`*^9, 
   3.8079417583533716`*^9, 3.8079429598770704`*^9, 3.8079430193110914`*^9, 
   3.80794320726966*^9, 3.807963273003055*^9},
 CellLabel->"Out[18]=",ExpressionUUID->"eae903ee-04a1-46d3-b0f8-eed01257e0e7"]
}, Open  ]],

Cell["\:0422\:0435 \:0436\:0435 \:0442\:043e\:0447\:043a\:0438 \:0434\:043b\
\:044f \:0411\:0435\:0437\:044c\:0435:", "Text",
 CellChangeTimes->{{3.8079636385807767`*^9, 
  3.807963650094539*^9}},ExpressionUUID->"2ee12f7b-20da-4e14-887e-\
c7bbb9acc134"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"With", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"n", "=", "6"}], "}"}], ",", 
   RowBox[{
    RowBox[{"Manipulate", "[", 
     RowBox[{
      RowBox[{"DynamicModule", "[", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{"pts", "=", 
          RowBox[{"ReIm", "/@", 
           RowBox[{"{", 
            RowBox[{
             RowBox[{"1", "-", 
              RowBox[{"7", "I"}]}], ",", 
             RowBox[{"-", "11"}], ",", 
             RowBox[{"5", "+", 
              RowBox[{"10", "I"}]}], ",", 
             RowBox[{
              RowBox[{"-", "6"}], "+", 
              RowBox[{"2", "I"}]}], ",", 
             RowBox[{"7", "-", 
              RowBox[{"2", "I"}]}], ",", 
             RowBox[{"7", "-", 
              RowBox[{"1", "I"}]}]}], "}"}]}]}], "}"}], ",", 
        RowBox[{"LocatorPane", "[", 
         RowBox[{
          RowBox[{"Dynamic", "[", "pts", "]"}], ",", 
          RowBox[{"Dynamic", "[", "\[IndentingNewLine]", 
           RowBox[{
            RowBox[{"cpts", "=", 
             RowBox[{"Table", "[", 
              RowBox[{
               RowBox[{
                RowBox[{
                 RowBox[{"pts", "[", 
                  RowBox[{"[", "j", "]"}], "]"}], "[", 
                 RowBox[{"[", "1", "]"}], "]"}], "+", 
                RowBox[{"I", " ", 
                 RowBox[{
                  RowBox[{"pts", "[", 
                   RowBox[{"[", "j", "]"}], "]"}], "[", 
                  RowBox[{"[", "2", "]"}], "]"}]}]}], ",", 
               RowBox[{"{", 
                RowBox[{"j", ",", "1", ",", "n"}], "}"}]}], "]"}]}], ";", 
            "\[IndentingNewLine]", 
            RowBox[{"zz", "=", 
             RowBox[{"{", 
              RowBox[{
               SubscriptBox["z", "1"], ",", 
               SubscriptBox["z", "2"], ",", 
               SubscriptBox["z", "3"], ",", 
               SubscriptBox["z", "4"], ",", 
               SubscriptBox["z", "5"]}], "}"}]}], ";", "\[IndentingNewLine]", 
            RowBox[{"zpts", "=", 
             RowBox[{"Table", "[", 
              RowBox[{
               RowBox[{"pan", "[", 
                RowBox[{
                 RowBox[{"cpts", "[", 
                  RowBox[{"[", "j", "]"}], "]"}], ",", 
                 RowBox[{"cpts", "[", 
                  RowBox[{"[", 
                   RowBox[{"j", "+", "1"}], "]"}], "]"}], ",", 
                 RowBox[{"zz", "[", 
                  RowBox[{"[", "j", "]"}], "]"}]}], "]"}], ",", 
               RowBox[{"{", 
                RowBox[{"j", ",", "1", ",", 
                 RowBox[{"n", "-", "1"}]}], "}"}]}], "]"}]}], ";", 
            "\[IndentingNewLine]", 
            RowBox[{"ParametricPlot", "[", "\[IndentingNewLine]", 
             RowBox[{
              RowBox[{
               RowBox[{
                RowBox[{"Table", "[", 
                 RowBox[{
                  RowBox[{"BCurve", "[", 
                   RowBox[{
                    RowBox[{"zpts", "[", 
                    RowBox[{"[", "j", "]"}], "]"}], ",", 
                    RowBox[{"cpts", "[", 
                    RowBox[{"[", 
                    RowBox[{"j", "+", "1"}], "]"}], "]"}], ",", 
                    RowBox[{"zpts", "[", 
                    RowBox[{"[", 
                    RowBox[{"j", "+", "1"}], "]"}], "]"}], ",", "t"}], "]"}], 
                  ",", 
                  RowBox[{"{", 
                   RowBox[{"j", ",", "1", ",", 
                    RowBox[{"n", "-", "2"}]}], "}"}]}], "]"}], 
                "\[IndentingNewLine]", "\[IndentingNewLine]", "//", "ReIm"}], 
               "//", "Evaluate"}], ",", 
              RowBox[{"{", 
               RowBox[{"t", ",", "0", ",", "1"}], "}"}], ",", 
              RowBox[{"PlotRange", "\[Rule]", 
               RowBox[{"{", 
                RowBox[{
                 RowBox[{"-", "10"}], ",", "10"}], "}"}]}], ",", 
              RowBox[{"GridLines", "\[Rule]", 
               RowBox[{"{", 
                RowBox[{
                 RowBox[{
                  RowBox[{"Range", "[", "40", "]"}], "-", "20"}], ",", 
                 RowBox[{
                  RowBox[{"Range", "[", "40", "]"}], "-", "20"}]}], "}"}]}], 
              ",", 
              RowBox[{"Axes", "\[Rule]", "False"}], ",", 
              RowBox[{"PlotPoints", "\[Rule]", "20"}], ",", 
              RowBox[{"PlotStyle", "\[Rule]", 
               RowBox[{"{", 
                RowBox[{"{", 
                 RowBox[{"Thick", ",", "Red"}], "}"}], "}"}]}], ",", 
              "\[IndentingNewLine]", 
              RowBox[{"Epilog", "\[Rule]", 
               RowBox[{"{", 
                RowBox[{
                 RowBox[{"{", 
                  RowBox[{"Dotted", ",", "\[IndentingNewLine]", 
                   RowBox[{"Line", "[", 
                    RowBox[{"Table", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{
                    RowBox[{"pts", "[", 
                    RowBox[{"[", "j", "]"}], "]"}], ",", 
                    RowBox[{"pts", "[", 
                    RowBox[{"[", 
                    RowBox[{"j", "+", "1"}], "]"}], "]"}]}], "}"}], ",", 
                    RowBox[{"{", 
                    RowBox[{"j", ",", "1", ",", 
                    RowBox[{"n", "-", "1"}]}], "}"}]}], "]"}], "]"}]}], 
                  "\[IndentingNewLine]", "}"}], ",", 
                 RowBox[{"Table", "[", 
                  RowBox[{
                   RowBox[{"Text", "[", 
                    RowBox[{"k", ",", 
                    RowBox[{
                    RowBox[{"pts", "[", 
                    RowBox[{"[", "k", "]"}], "]"}], "+", 
                    RowBox[{"{", 
                    RowBox[{"0.5", ",", 
                    RowBox[{"-", "0.5"}]}], "}"}]}]}], "]"}], ",", 
                   RowBox[{"{", 
                    RowBox[{"k", ",", "1", ",", "n"}], "}"}]}], "]"}], ",", 
                 RowBox[{"Point", "[", 
                  RowBox[{"zpts", "//", "ReIm"}], "]"}]}], "}"}]}]}], "]"}]}],
            "]"}]}], "]"}]}], "]"}], ",", "\[IndentingNewLine]", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{
          SubscriptBox["z", "1"], ",", "0.42"}], "}"}], ",", 
        RowBox[{"-", "1"}], ",", "1"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{
          SubscriptBox["z", "2"], ",", 
          RowBox[{"-", "0.2"}]}], "}"}], ",", 
        RowBox[{"-", "1"}], ",", "1"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{
          SubscriptBox["z", "3"], ",", "0"}], "}"}], ",", 
        RowBox[{"-", "1"}], ",", "1"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{
          SubscriptBox["z", "4"], ",", "0.18"}], "}"}], ",", 
        RowBox[{"-", "1"}], ",", "1"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{
          SubscriptBox["z", "5"], ",", "0"}], "}"}], ",", 
        RowBox[{"-", "1"}], ",", "1"}], "}"}]}], "]"}], "//", "Evaluate"}]}], 
  "]"}]], "Input",
 CellOpen->False,
 CellChangeTimes->{
  3.807928192498728*^9, 3.807928246298127*^9, {3.8079288932970285`*^9, 
   3.807928958167844*^9}, {3.807929009457405*^9, 3.8079290102223377`*^9}, {
   3.8079291595934925`*^9, 3.8079291841549163`*^9}, {3.8079293082685647`*^9, 
   3.807929310645993*^9}, {3.8079293511653347`*^9, 3.8079293657510157`*^9}, {
   3.807929445029255*^9, 3.8079295008557644`*^9}, {3.807929541083209*^9, 
   3.807929554739802*^9}, {3.807929674724578*^9, 3.807929717652869*^9}, {
   3.807929761957958*^9, 3.8079297620375*^9}, {3.8079298476327667`*^9, 
   3.8079298506746287`*^9}, {3.8079303387072544`*^9, 3.807930366730529*^9}, {
   3.807930411044833*^9, 3.8079304201914883`*^9}, {3.807931805345531*^9, 
   3.807931805445218*^9}, {3.80794162709507*^9, 3.8079416326366806`*^9}, {
   3.807941687757064*^9, 3.8079416937580385`*^9}, 3.8079417569657617`*^9, {
   3.8079429578768196`*^9, 3.807942959235338*^9}, {3.807943015983489*^9, 
   3.807943018248376*^9}, 3.807943144438943*^9, 3.807963376116012*^9, {
   3.807963524695753*^9, 3.807963526148285*^9}, 3.8079636193449764`*^9},
 Background->GrayLevel[0.85],
 CellLabel->"In[24]:=",ExpressionUUID->"6416f688-3c76-42e7-98dd-64b844a8c202"],

Cell[BoxData[
 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`$34$$ = 
    0.42, $CellContext`$35$$ = -0.2, $CellContext`$36$$ = 
    0, $CellContext`$37$$ = 0.18, $CellContext`$38$$ = 0, Typeset`show$$ = 
    True, Typeset`bookmarkList$$ = {}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{{
       Hold[$CellContext`$34$$], 0.42, 
       RawBoxes[
        SubscriptBox["z", "1"]]}, -1, 1}, {{
       Hold[$CellContext`$35$$], -0.2, 
       RawBoxes[
        SubscriptBox["z", "2"]]}, -1, 1}, {{
       Hold[$CellContext`$36$$], 0, 
       RawBoxes[
        SubscriptBox["z", "3"]]}, -1, 1}, {{
       Hold[$CellContext`$37$$], 0.18, 
       RawBoxes[
        SubscriptBox["z", "4"]]}, -1, 1}, {{
       Hold[$CellContext`$38$$], 0, 
       RawBoxes[
        SubscriptBox["z", "5"]]}, -1, 1}}, Typeset`size$$ = {
    550., {243., 253.}}, Typeset`update$$ = 0, Typeset`initDone$$, 
    Typeset`skipInitDone$$ = True, $CellContext`$34$8145$$ = 
    0, $CellContext`$35$8146$$ = 0, $CellContext`$36$8147$$ = 
    0, $CellContext`$37$8148$$ = 0, $CellContext`$38$8149$$ = 0}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     1, StandardForm, 
      "Variables" :> {$CellContext`$34$$ = 
        0.42, $CellContext`$35$$ = -0.2, $CellContext`$36$$ = 
        0, $CellContext`$37$$ = 0.18, $CellContext`$38$$ = 0}, 
      "ControllerVariables" :> {
        Hold[$CellContext`$34$$, $CellContext`$34$8145$$, 0], 
        Hold[$CellContext`$35$$, $CellContext`$35$8146$$, 0], 
        Hold[$CellContext`$36$$, $CellContext`$36$8147$$, 0], 
        Hold[$CellContext`$37$$, $CellContext`$37$8148$$, 0], 
        Hold[$CellContext`$38$$, $CellContext`$38$8149$$, 0]}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, "Body" :> 
      DynamicModule[{$CellContext`pts = 
         Map[ReIm, {1 - 7 I, -11, 5 + 10 I, -6 + 2 I, 7 - 2 I, 7 - 1 I}]}, 
        LocatorPane[
         Dynamic[$CellContext`pts], 
         Dynamic[$CellContext`cpts = Table[Part[
               Part[$CellContext`pts, $CellContext`j], 1] + I Part[
                Part[$CellContext`pts, $CellContext`j], 2], {$CellContext`j, 
              1, 6}]; $CellContext`zz = {$CellContext`$34$$, \
$CellContext`$35$$, $CellContext`$36$$, $CellContext`$37$$, \
$CellContext`$38$$}; $CellContext`zpts = Table[
             $CellContext`pan[
              Part[$CellContext`cpts, $CellContext`j], 
              Part[$CellContext`cpts, $CellContext`j + 1], 
              Part[$CellContext`zz, $CellContext`j]], {$CellContext`j, 1, 6 - 
              1}]; ParametricPlot[
            Evaluate[
             ReIm[
              Table[
               $CellContext`BCurve[
                Part[$CellContext`zpts, $CellContext`j], 
                Part[$CellContext`cpts, $CellContext`j + 1], 
                
                Part[$CellContext`zpts, $CellContext`j + 
                 1], $CellContext`t], {$CellContext`j, 1, 6 - 
                2}]]], {$CellContext`t, 0, 1}, PlotRange -> {-10, 10}, 
            GridLines -> {Range[40] - 20, Range[40] - 20}, Axes -> False, 
            PlotPoints -> 20, PlotStyle -> {{Thick, Red}}, Epilog -> {{Dotted, 
               Line[
                Table[{
                  Part[$CellContext`pts, $CellContext`j], 
                  
                  Part[$CellContext`pts, $CellContext`j + 
                   1]}, {$CellContext`j, 1, 6 - 1}]]}, 
              Table[
               
               Text[$CellContext`k, 
                Part[$CellContext`pts, $CellContext`k] + {
                 0.5, -0.5}], {$CellContext`k, 1, 6}], 
              Point[
               ReIm[$CellContext`zpts]]}]]]], 
      "Specifications" :> {{{$CellContext`$34$$, 0.42, 
          RawBoxes[
           SubscriptBox["z", "1"]]}, -1, 1}, {{$CellContext`$35$$, -0.2, 
          RawBoxes[
           SubscriptBox["z", "2"]]}, -1, 1}, {{$CellContext`$36$$, 0, 
          RawBoxes[
           SubscriptBox["z", "3"]]}, -1, 1}, {{$CellContext`$37$$, 0.18, 
          RawBoxes[
           SubscriptBox["z", "4"]]}, -1, 1}, {{$CellContext`$38$$, 0, 
          RawBoxes[
           SubscriptBox["z", "5"]]}, -1, 1}}, "Options" :> {}, 
      "DefaultOptions" :> {}],
     ImageSizeCache->{622., {371., 380.}},
     SingleEvaluation->True],
    Deinitialization:>None,
    DynamicModuleValues:>{},
    SynchronousInitialization->True,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Manipulate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellChangeTimes->{3.807963377969905*^9, 3.807963464580053*^9, 
  3.807963526958008*^9, 3.8079636322263722`*^9},
 CellLabel->"Out[24]=",ExpressionUUID->"ef7f0e8e-dd58-47b9-86de-338d6f34cab3"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["\:0417\:0430\:043a\:043b\:044e\:0447\:0435\:043d\:0438\:0435", "Section",
 CellChangeTimes->{{3.807572624771587*^9, 3.807572631597833*^9}, {
  3.8075758460187807`*^9, 3.8075758555215144`*^9}, {3.807584182211512*^9, 
  3.807584185869512*^9}, {3.807599597434725*^9, 3.8075995997597284`*^9}, {
  3.807600978843072*^9, 
  3.807600981005638*^9}},ExpressionUUID->"ad255172-f683-4c92-a089-\
6983fd609666"],

Cell["\<\
\:0414\:0430\:043b\:044c\:043d\:0435\:0439\:0448\:0438\:043c \:0440\:0430\
\:0437\:0432\:0438\:0442\:0438\:0435\:043c \:0440\:0430\:0441\:0441\:043c\
\:043e\:0442\:0440\:0435\:043d\:043d\:043e\:0433\:043e \:043c\:0435\:0442\
\:043e\:0434\:0430 \:043f\:043e\:0441\:0442\:0440\:043e\:0435\:043d\:0438\
\:044f \:043a\:0440\:0438\:0432\:044b\:0445 \:044f\:0432\:043b\:044f\:0435\
\:0442\:0441\:044f \:0443\:0432\:0435\:043b\:0438\:0447\:0435\:043d\:0438\
\:0435 \:043a\:043e\:043b\:0438\:0447\:0435\:0441\:0442\:0432\:0430 \:0432\
\:0435\:043a\:0442\:043e\:0440\:043e\:0432, \:0443\:0447\:0430\:0441\:0442\
\:0432\:0443\:044e\:0449\:0438\:0445 \:0432 \:043f\:043e\:0441\:0442\:0440\
\:043e\:0435\:043d\:0438\:0438 \:043a\:0440\:0438\:0432\:043e\:0439 \:0438, \
\:0441\:043e\:043e\:0442\:0432\:0435\:0442\:0441\:0442\:0432\:0435\:043d\:043d\
\:043e, \:0443\:0432\:0435\:043b\:0438\:0447\:0435\:043d\:0438\:0435 \:043a\
\:043e\:043b\:0438\:0447\:0435\:0441\:0442\:0432\:0430 \:043d\:0430\:043f\
\:0440\:0430\:0432\:043b\:044f\:044e\:0449\:0438\:0445 \:0442\:043e\:0447\
\:0435\:043a. \:041e\:0434\:043d\:0430\:043a\:043e, \:0432 \:043e\:0442\:043b\
\:0438\:0447\:0438\:0435 \:043e\:0442 \:043a\:0440\:0438\:0432\:044b\:0445 \
\:0411\:0435\:0437\:044c\:0435, \:043f\:043e\:0432\:044b\:0448\:0435\:043d\
\:0438\:0435 \:043f\:043e\:0440\:044f\:0434\:043a\:0430 \:0437\:0434\:0435\
\:0441\:044c \:043d\:0435 \:044f\:0432\:043b\:044f\:0435\:0442\:0441\:044f \
\:043e\:0447\:0435\:0432\:0438\:0434\:043d\:044b\:043c \:0438 \:0442\:0440\
\:0435\:0431\:0443\:0435\:0442 \:043e\:0442\:0434\:0435\:043b\:044c\:043d\
\:043e\:0433\:043e \:0432\:0434\:0443\:043c\:0447\:0438\:0432\:043e\:0433\
\:043e \:0440\:0430\:0437\:043c\:044b\:0448\:043b\:0435\:043d\:0438\:044f. \
\:0422\:0430\:043a\:0436\:0435 \:0432\:043e\:0437\:043c\:043e\:0436\:043d\
\:044b \:0440\:0430\:0437\:043b\:0438\:0447\:043d\:044b\:0435 \:043c\:0435\
\:0442\:043e\:0434\:044b \:043a\:043e\:043c\:0431\:0438\:043d\:0430\:0446\
\:0438\:0438 \:0438\:0445 \:0441 \:043a\:0440\:0438\:0432\:044b\:043c\:0438 \
\:0411\:0435\:0437\:044c\:0435 - \:0432 \:0447\:0430\:0441\:0442\:043d\:043e\
\:0441\:0442\:0438, \:0438\:043d\:0442\:0435\:0440\:043f\:043e\:043b\:044f\
\:0446\:0438\:0438 \:0446\:0435\:043d\:0442\:0440\:0430 \:043e\:043a\:0440\
\:0443\:0436\:043d\:043e\:0441\:0442\:0438 \:0440\:0438\:0441\:0443\:044e\
\:0449\:0438\:0445 \:0432\:0435\:043a\:0442\:043e\:0440\:043e\:0432.

\:0420\:0430\:0441\:0441\:043c\:043e\:0442\:0440\:0435\:043d\:043d\:044b\:0439\
 \:043c\:0435\:0442\:043e\:0434 \:043f\:043e\:0441\:0442\:0440\:043e\:0435\
\:043d\:0438\:044f \:043a\:0440\:0438\:0432\:044b\:0445 \:0442\:0430\:043a\
\:0436\:0435 \:043d\:0435 \:044f\:0432\:043b\:044f\:0435\:0442\:0441\:044f \
\:0435\:0434\:0438\:043d\:0441\:0442\:0432\:0435\:043d\:043d\:044b\:043c, \
\:0447\:0430\:0441\:0442\:043d\:044b\:043c \:0441\:043b\:0443\:0447\:0430\
\:0435\:043c \:043a\:043e\:0442\:043e\:0440\:043e\:0433\:043e \:044f\:0432\
\:043b\:044f\:044e\:0442\:0441\:044f \:0434\:0443\:0433\:0438 \:043e\:043a\
\:0440\:0443\:0436\:043d\:043e\:0441\:0442\:0438 \:0438 \:044d\:043b\:043b\
\:0438\:043f\:0441\:0430 - \:043a\:0430\:043a \:043c\:0438\:043d\:0438\:043c\
\:0443\:043c, \:044d\:043b\:043b\:0438\:043f\:0441 \:043c\:043e\:0436\:043d\
\:043e \:043f\:043e\:0441\:0442\:0440\:043e\:0438\:0442\:044c \:0447\:0435\
\:0440\:0435\:0437 \:043f\:0435\:0440\:0435\:0441\:0435\:0447\:0435\:043d\
\:0438\:0435 \:043f\:0440\:044f\:043c\:044b\:0445 \:0432 \:043f\:0430\:0440\
\:0430\:043b\:043b\:0435\:043b\:043e\:0433\:0440\:0430\:043c\:043c\:0435 \
[https://en.wikipedia.org/wiki/Ellipse#Steiner_generation] \
(\:043f\:0440\:0430\:0432\:0434\:0430, \:0432 \:044d\:0442\:043e\:043c \:0432\
\:0430\:0440\:0438\:0430\:043d\:0442\:0435 \:0430\:0432\:0442\:043e\:0440 \
\:043f\:043e\:0442\:0435\:0440\:043f\:0435\:043b \:043d\:0435\:0443\:0434\
\:0430\:0447\:0443). \:0412\:043e\:0437\:043c\:043e\:0436\:043d\:043e, \:0447\
\:0442\:043e \:0441\:0443\:0449\:0435\:0441\:0442\:0432\:0443\:044e\:0442 \
\:0438 \:0434\:0440\:0443\:0433\:0438\:0435 \:0440\:0435\:0448\:0435\:043d\
\:0438\:044f, \:0432 \:0442\:043e\:043c \:0447\:0438\:0441\:043b\:0435 \:0438 \
\:0432\:0430\:0440\:0438\:0430\:043d\:0442\:044b \:043e\:043f\:0438\:0441\
\:0430\:043d\:043d\:043e\:0433\:043e \:0432 \:0441\:0442\:0430\:0442\:044c\
\:0435 - \:043f\:0438\:0448\:0438\:0442\:0435 \:0432 \:043a\:043e\:043c\:043c\
\:0435\:043d\:0442\:0430\:0440\:0438\:044f\:0445, \:0435\:0441\:043b\:0438 \
\:0432\:0430\:043c \:0447\:0442\:043e-\:0442\:043e \:0438\:0437\:0432\:0435\
\:0441\:0442\:043d\:043e \:043d\:0430 \:044d\:0442\:0443 \:0442\:0435\:043c\
\:0443.

\:0418\:0441\:0445\:043e\:0434\:043d\:044b\:0439 \:043a\:043e\:0434 \:0441\
\:0442\:0430\:0442\:044c\:0438 \:043c\:043e\:0436\:043d\:043e \:0441\:043a\
\:0430\:0447\:0430\:0442\:044c [\:043d\:0430 GitHub].\
\>", "Text",
 CellChangeTimes->{{3.8076009920802097`*^9, 3.8076010422754736`*^9}, {
   3.807601094474386*^9, 3.807601184920348*^9}, {3.807601239699523*^9, 
   3.8076013368610363`*^9}, {3.80760138228045*^9, 3.807601526657938*^9}, 
   3.807926246801612*^9, {3.8079264430545673`*^9, 3.8079265396402783`*^9}, {
   3.8079265750783243`*^9, 3.807926625475563*^9}, {3.8079266562590017`*^9, 
   3.807926657430953*^9}, {3.8079268339520073`*^9, 3.8079268382926955`*^9}, {
   3.8079268706230974`*^9, 3.807927028671667*^9}, {3.807927068334775*^9, 
   3.8079271604569306`*^9}, {3.807927198573601*^9, 3.807927220360387*^9}, {
   3.8079366801566086`*^9, 3.8079367290998516`*^9}, {3.807949272272535*^9, 
   3.807949281096857*^9}, {3.8079493292121773`*^9, 3.8079493344897747`*^9}, 
   3.8079506946286745`*^9, 3.8079515320922866`*^9, {3.8079516181610947`*^9, 
   3.8079516205158844`*^9}, {3.8079517026830115`*^9, 
   3.807951706451908*^9}},ExpressionUUID->"f74fcaed-8c8f-4925-853a-\
042b2a7610ac"]
}, Open  ]]
}, Open  ]]
},
WindowSize->{1147, 945},
WindowMargins->{{123, Automatic}, {Automatic, 2}},
CellContext->Notebook,
Magnification:>1.5 Inherited,
FrontEndVersion->"11.3 for Microsoft Windows (64-bit) (March 6, 2018)",
StyleDefinitions->"Default.nb"
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[CellGroupData[{
Cell[580, 22, 411, 7, 146, "Title",ExpressionUUID->"9b9ca6f9-e2c2-4f5e-bc95-710aa6ab14e3"],
Cell[994, 31, 1162, 18, 119, "Text",ExpressionUUID->"329244bb-5114-496b-8c5f-b2f681fb045b"],
Cell[CellGroupData[{
Cell[2181, 53, 214, 4, 99, "Section",ExpressionUUID->"f01d02a1-bd46-4c1e-a6f4-dfc5b5afad36"],
Cell[2398, 59, 523, 9, 52, "Text",ExpressionUUID->"71c577e9-627d-4566-8f24-761763f2ac45"],
Cell[2924, 70, 565, 15, 28, "Input",ExpressionUUID->"912540db-0361-449a-9830-ad6262ec6773",
 CellOpen->False],
Cell[CellGroupData[{
Cell[3514, 89, 7683, 167, 28, "Input",ExpressionUUID->"e02401a1-00aa-4573-90d8-7c2b3e421f91",
 CellOpen->False],
Cell[11200, 258, 4476, 91, 635, "Output",ExpressionUUID->"96b43b03-fcb6-4fa0-9255-4db24286400a"]
}, Open  ]],
Cell[15691, 352, 1548, 23, 119, "Text",ExpressionUUID->"c6424e17-4136-4ae2-bce0-5d8365dd7141"],
Cell[17242, 377, 547, 14, 67, "Input",ExpressionUUID->"c18e5567-da26-4386-9b19-9ae005bc5a04"],
Cell[17792, 393, 1383, 20, 119, "Text",ExpressionUUID->"b348e311-2871-49c3-b76d-e8ec4d38ee70"],
Cell[19178, 415, 727, 12, 52, "Text",ExpressionUUID->"167129a0-d2ba-4618-b43e-777bd8c1d7f7"],
Cell[19908, 429, 261, 7, 43, "Input",ExpressionUUID->"196bc888-7108-4bde-827d-dc4fe64e1157",
 Evaluatable->False],
Cell[20172, 438, 150, 3, 52, "Text",ExpressionUUID->"2425ea29-710a-4d95-a592-5a0aa3585108"],
Cell[20325, 443, 317, 8, 43, "Input",ExpressionUUID->"0e9bce6b-feb2-49b0-ac88-33878979a35d",
 Evaluatable->False],
Cell[20645, 453, 282, 4, 52, "Text",ExpressionUUID->"2af54c44-c999-4b12-b0e8-45504fbaa749"],
Cell[20930, 459, 313, 8, 43, "Input",ExpressionUUID->"c05b72e0-f709-4801-bafa-06ac2ccec947",
 Evaluatable->False],
Cell[21246, 469, 1605, 23, 119, "Text",ExpressionUUID->"b775e2e1-b6f3-48bc-83b7-f2196046c570"],
Cell[CellGroupData[{
Cell[22876, 496, 688, 16, 43, "Input",ExpressionUUID->"36104542-3d6e-4135-b58d-d3ede96842e0"],
Cell[23567, 514, 761, 17, 49, "Output",ExpressionUUID->"1cb5d9fc-207f-42e6-958b-d5c2b320ead7"]
}, Open  ]],
Cell[24343, 534, 1223, 18, 86, "Text",ExpressionUUID->"f2accc80-492a-46a5-9d79-2c0fe77b293a"],
Cell[CellGroupData[{
Cell[25591, 556, 9557, 210, 28, "Input",ExpressionUUID->"3663858f-41af-4962-a0a1-84ffdfae320e",
 CellOpen->False],
Cell[35151, 768, 5213, 105, 635, "Output",ExpressionUUID->"5b73b8ad-8bed-46f4-9015-031af63673cc"]
}, Open  ]]
}, Open  ]],
Cell[CellGroupData[{
Cell[40413, 879, 303, 5, 99, "Section",ExpressionUUID->"ce11857b-ae64-4dad-8a5e-efcf1df30bd3"],
Cell[CellGroupData[{
Cell[40741, 888, 336, 5, 80, "Subsection",ExpressionUUID->"f499d45e-5250-4e1e-a0c2-8944d02b2d1e"],
Cell[41080, 895, 1364, 20, 86, "Text",ExpressionUUID->"84089a24-bb9c-45c6-a7ba-a350285592b7"],
Cell[42447, 917, 14996, 335, 28, "Input",ExpressionUUID->"7d9537f0-2c72-4146-a0a1-43022c3ca575",
 CellOpen->False],
Cell[CellGroupData[{
Cell[57468, 1256, 565, 13, 43, "Input",ExpressionUUID->"884e08f2-a822-4b79-959b-cea87d563102"],
Cell[58036, 1271, 5397, 112, 635, "Output",ExpressionUUID->"a5b7a239-6042-4fd0-9be3-08d23fd5c76d"]
}, Open  ]],
Cell[63448, 1386, 2406, 35, 186, "Text",ExpressionUUID->"855168b8-7039-4ed5-9913-add1c20912e9"],
Cell[CellGroupData[{
Cell[65879, 1425, 501, 13, 43, "Input",ExpressionUUID->"c0362817-2ada-4a83-811f-81c2d1d7aa24"],
Cell[66383, 1440, 5450, 116, 635, "Output",ExpressionUUID->"04864f77-e797-4f25-86f4-6342e7205c77"]
}, Open  ]]
}, Open  ]],
Cell[CellGroupData[{
Cell[71882, 1562, 369, 6, 80, "Subsection",ExpressionUUID->"817455ac-19c5-4ce3-ad03-2a421bc0617f"],
Cell[72254, 1570, 954, 15, 86, "Text",ExpressionUUID->"f4fee635-d0ef-409c-a0ca-0cac355c0e3e"],
Cell[CellGroupData[{
Cell[73233, 1589, 708, 15, 43, "Input",ExpressionUUID->"cbaacdfa-9db5-4ac3-90cc-438fd8ed2578"],
Cell[73944, 1606, 5290, 112, 635, "Output",ExpressionUUID->"4b40c55c-8730-4a7e-a2c4-c40e6af2191d"]
}, Open  ]],
Cell[79249, 1721, 1268, 20, 119, "Text",ExpressionUUID->"15c15dc1-247a-4082-be86-3107f3e5b6dd"]
}, Open  ]],
Cell[CellGroupData[{
Cell[80554, 1746, 551, 8, 80, "Subsection",ExpressionUUID->"63dedec8-19fa-4482-9161-34c792cd9261"],
Cell[81108, 1756, 3111, 44, 186, "Text",ExpressionUUID->"d1c9670b-7fa6-4729-bc66-68879013d832"],
Cell[CellGroupData[{
Cell[84244, 1804, 340, 8, 43, "Input",ExpressionUUID->"7495adfc-5bbc-4be4-bdb3-a1319b0c7a5d"],
Cell[84587, 1814, 5206, 114, 635, "Output",ExpressionUUID->"79de7066-78ad-4e60-a2d7-2d2c205c93fb"]
}, Open  ]],
Cell[89808, 1931, 771, 13, 86, "Text",ExpressionUUID->"bff1c4c1-614e-4d69-a618-5720be5131ae"],
Cell[CellGroupData[{
Cell[90604, 1948, 9820, 227, 28, "Input",ExpressionUUID->"9cd70617-e2c0-43b4-a37e-a34d1f6d9e8e",
 CellOpen->False],
Cell[100427, 2177, 5028, 98, 627, "Output",ExpressionUUID->"83694f99-e107-4f03-87e5-deb18125f426"]
}, Open  ]]
}, Open  ]]
}, Open  ]],
Cell[CellGroupData[{
Cell[105516, 2282, 292, 4, 99, "Section",ExpressionUUID->"c23234b3-9960-4250-a703-74678a5225db"],
Cell[105811, 2288, 1583, 25, 186, "Text",ExpressionUUID->"e4711ec0-8f17-4d87-ac8f-96fc916a0e64"],
Cell[107397, 2315, 1190, 37, 73, "Input",ExpressionUUID->"278fe31d-205d-4da6-adad-313922294add",
 Evaluatable->False],
Cell[108590, 2354, 783, 15, 119, "Text",ExpressionUUID->"464f9d5e-e145-4069-a4f0-8cadd45d98ab"],
Cell[109376, 2371, 404, 12, 73, "Input",ExpressionUUID->"95f3f375-c0fc-4566-9d97-d5c63f7989ab",
 Evaluatable->False],
Cell[109783, 2385, 252, 4, 52, "Text",ExpressionUUID->"2d18ce8a-ebc7-4038-801e-acb390d11f9e"],
Cell[110038, 2391, 585, 17, 107, "Input",ExpressionUUID->"2cc4d4ab-0986-4025-b770-db830f953ab2",
 Evaluatable->False],
Cell[110626, 2410, 1181, 18, 86, "Text",ExpressionUUID->"6417f38f-9110-4460-9b81-d12a59af5064"],
Cell[111810, 2430, 426, 11, 68, "Input",ExpressionUUID->"a831de00-ba72-4585-908a-f0df652b6e36",
 Evaluatable->False],
Cell[112239, 2443, 635, 11, 52, "Text",ExpressionUUID->"83bd9a82-d7f5-41e5-86a1-b9b4e536ba05"],
Cell[112877, 2456, 733, 20, 116, "Input",ExpressionUUID->"bf876f15-4193-4db0-aee8-307c2211f26c",
 Evaluatable->False],
Cell[113613, 2478, 4628, 67, 387, "Text",ExpressionUUID->"9161d15f-54d3-48ff-9d6f-bad726226507"],
Cell[118244, 2547, 306, 9, 43, "Input",ExpressionUUID->"108c0c6c-6e77-4187-9bba-ee3ef9c101c4",
 Evaluatable->False],
Cell[118553, 2558, 599, 11, 52, "Text",ExpressionUUID->"2e85dc5d-ccfc-4c04-aa2a-a7c585e33c34"],
Cell[119155, 2571, 727, 13, 86, "Text",ExpressionUUID->"1ac25a29-a39b-40be-92df-5adc44b7a486"],
Cell[119885, 2586, 899, 23, 49, "Input",ExpressionUUID->"0c340bc9-6f3f-4f44-bded-567feba681fb",
 Evaluatable->False]
}, Open  ]],
Cell[CellGroupData[{
Cell[120821, 2614, 505, 7, 99, "Section",ExpressionUUID->"7afd860a-9882-4271-8f72-57fb2e86c69e"],
Cell[121329, 2623, 3465, 93, 28, "Input",ExpressionUUID->"d9b2e309-9bf8-4223-a0cd-2be36cc37d93",
 CellOpen->False],
Cell[124797, 2718, 506, 13, 28, "Input",ExpressionUUID->"b7e083d5-6b8c-4a62-b93a-90510782d26a",
 CellOpen->False],
Cell[125306, 2733, 3533, 49, 220, "Text",ExpressionUUID->"d2917612-0fdf-4fe6-bc37-883e1542427a"],
Cell[CellGroupData[{
Cell[128864, 2786, 10116, 217, 28, "Input",ExpressionUUID->"a66e0ecc-a9f1-4cee-9d69-1b6df1c37e02",
 CellOpen->False],
Cell[138983, 3005, 3201, 66, 524, "Output",ExpressionUUID->"5527482c-79dc-46c7-b559-f25bc33d8cff"]
}, Open  ]],
Cell[142199, 3074, 587, 10, 52, "Text",ExpressionUUID->"9ace2956-018b-46ca-850a-f3460ecbe31f"],
Cell[142789, 3086, 1057, 25, 28, "Input",ExpressionUUID->"aa8f2543-cc8e-40c5-b6ac-9eb2731bfc20",
 CellOpen->False],
Cell[CellGroupData[{
Cell[143871, 3115, 10190, 218, 28, "Input",ExpressionUUID->"4b515b6e-cf0b-412b-a257-6600558fffea",
 CellOpen->False],
Cell[154064, 3335, 3175, 66, 524, "Output",ExpressionUUID->"a5f549b6-9b8c-4bad-8d09-c5d473a9aeec"]
}, Open  ]]
}, Open  ]],
Cell[CellGroupData[{
Cell[157288, 3407, 448, 7, 99, "Section",ExpressionUUID->"28b366b3-fbea-4e3b-9832-522be860c2af"],
Cell[157739, 3416, 835, 14, 86, "Text",ExpressionUUID->"d736c652-21a1-4f42-9d2c-63dea447d55b"],
Cell[CellGroupData[{
Cell[158599, 3434, 10101, 235, 28, "Input",ExpressionUUID->"9658d327-eff4-4662-a253-834f260237e1",
 CellOpen->False],
Cell[168703, 3671, 3339, 64, 524, "Output",ExpressionUUID->"27ed2f06-9938-4618-912b-becdd52ca282"]
}, Open  ]],
Cell[172057, 3738, 3958, 57, 287, "Text",ExpressionUUID->"6e3b3b65-cf79-4a6f-ba01-9de4cd85ed76"],
Cell[CellGroupData[{
Cell[176040, 3799, 8177, 197, 28, "Input",ExpressionUUID->"94ac7b42-522c-494b-b140-5763b47e1f06",
 CellOpen->False],
Cell[184220, 3998, 5395, 113, 779, "Output",ExpressionUUID->"eae903ee-04a1-46d3-b0f8-eed01257e0e7"]
}, Open  ]],
Cell[189630, 4114, 253, 4, 52, "Text",ExpressionUUID->"2ee12f7b-20da-4e14-887e-c7bbb9acc134"],
Cell[CellGroupData[{
Cell[189908, 4122, 8271, 198, 28, "Input",ExpressionUUID->"6416f688-3c76-42e7-98dd-64b844a8c202",
 CellOpen->False],
Cell[198182, 4322, 5091, 109, 779, "Output",ExpressionUUID->"ef7f0e8e-dd58-47b9-86de-338d6f34cab3"]
}, Open  ]]
}, Open  ]],
Cell[CellGroupData[{
Cell[203322, 4437, 404, 6, 99, "Section",ExpressionUUID->"ad255172-f683-4c92-a089-6983fd609666"],
Cell[203729, 4445, 5844, 82, 521, "Text",ExpressionUUID->"f74fcaed-8c8f-4925-853a-042b2a7610ac"]
}, Open  ]]
}, Open  ]]
}
]
*)