(* Content-type: application/mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 6.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 145, 7] NotebookDataLength[ 44466, 870] NotebookOptionsPosition[ 27998, 575] NotebookOutlinePosition[ 44551, 872] CellTagsIndexPosition[ 44508, 869] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[BoxData[ TagBox[ StyleBox[ DynamicModuleBox[{$CellContext`height$$ = 2 Pi, $CellContext`high$$ = False, $CellContext`pt1$$ = {0, 2}, $CellContext`pt2$$ = {7, 1}, $CellContext`pt3$$ = {8, 2}, $CellContext`type$$ = "ABC", $CellContext`width$$ = 4 Pi, Typeset`show$$ = True, Typeset`bookmarkList$$ = {}, Typeset`bookmarkMode$$ = "Menu", Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = "\"untitled\"", Typeset`specs$$ = {{ Hold[ Style["\:5b9f\:969b\:306e\:6bd4\:7387\:3067 \:898b\:308b ", Bold]], Manipulate`Dump`ThisIsNotAControl}, {{ Hold[$CellContext`high$$], False, "Yes"}, {True, False}}, { Hold[ Style["\:30dd\:30a2\:30f3\:30ab\:30ec\:5e73\:9762", Bold]], Manipulate`Dump`ThisIsNotAControl}, {{ Hold[$CellContext`height$$], 2 Pi, "\:9ad8\:3055"}, 2 Pi, 10 Pi}, {{ Hold[$CellContext`width$$], 4 Pi, "\:5e45"}, 2 Pi, 10 Pi}, { Hold[ Style["\:4e09\:89d2\:5f62ABC", Bold]], Manipulate`Dump`ThisIsNotAControl}, {{ Hold[$CellContext`type$$], "ABC"}, {"ABC", "ABCC"}}, {{ Hold[$CellContext`pt1$$], {0, 2}, "\:70b9A"}, {(-2) Pi, 1}, { 4 Pi, 2 Pi}}, {{ Hold[$CellContext`pt2$$], {7, 1}, "\:70b9B"}, {(-2) Pi, 1}, { 4 Pi, 2 Pi}}, {{ Hold[$CellContext`pt3$$], {8, 2}, "\:70b9C"}, {(-2) Pi, 1}, { 4 Pi, 2 Pi}}, { Hold[ Style[ "\:9577\:3055\:3068\:89d2\:3000( \:5e95\:5186\:306e\:534a\:5f84\:304c\ \:ff11)", Bold]], Manipulate`Dump`ThisIsNotAControl}, { Hold[ Dynamic[$CellContext`carange := { N[ ArcTan[$CellContext`Cx - $CellContext`c3, $CellContext`Cy]], N[ ArcTan[$CellContext`Ax - $CellContext`c3, $CellContext`Ay]]}; \ $CellContext`camin = Min[$CellContext`carange]; $CellContext`camax = Max[$CellContext`carange]; $CellContext`c5 := (($CellContext`Ex^2 + \ $CellContext`Ey^2 - $CellContext`Ax^2 - $CellContext`Ay^2)/ 2)/($CellContext`Ex - $CellContext`Ax); $CellContext`R5 := Sqrt[($CellContext`Ex - $CellContext`c5)^2 + $CellContext`Ey^2]; \ $CellContext`c6 := (($CellContext`Dx^2 + $CellContext`Dy^2 - \ $CellContext`Bx^2 - $CellContext`By^2)/ 2)/($CellContext`Dx - $CellContext`Bx); $CellContext`R6 := Sqrt[($CellContext`Dx - $CellContext`c6)^2 + $CellContext`Dy^2]; \ $CellContext`aerange := { N[ ArcTan[$CellContext`Ex - $CellContext`c5, $CellContext`Ey]], N[ ArcTan[$CellContext`Ax - $CellContext`c5, $CellContext`Ay]]}; \ $CellContext`aemin := Min[$CellContext`aerange]; $CellContext`aemax := Max[$CellContext`aerange]; $CellContext`bdrange := { N[ ArcTan[$CellContext`Dx - $CellContext`c6, $CellContext`Dy]], N[ ArcTan[$CellContext`Bx - $CellContext`c6, $CellContext`By]]}; \ $CellContext`bdmin := Min[$CellContext`bdrange]; $CellContext`bdmax := Max[$CellContext`bdrange]; $CellContext`AB := If[$CellContext`Ax != $CellContext`Bx, N[ Log[Tan[$CellContext`smax/2]/Tan[$CellContext`smin/2]]], N[ Abs[ Log[$CellContext`Ay/$CellContext`By]]]]; $CellContext`BC := If[$CellContext`Bx != $CellContext`Cx, N[ Log[Tan[$CellContext`tmax/2]/Tan[$CellContext`tmin/2]]], N[ Abs[ Log[$CellContext`By/$CellContext`Cy]]]]; $CellContext`C1A := If[$CellContext`Cx != $CellContext`Ax, N[ Log[Tan[$CellContext`camax/2]/Tan[$CellContext`camin/2]]], N[ Abs[ Log[$CellContext`Cy/$CellContext`Ay]]]]; $CellContext`DA := N[ Log[ Tan[$CellContext`damax/2]/ Tan[$CellContext`damin/2]]]; $CellContext`BD := N[ Log[ Tan[$CellContext`bdmax/2]/ Tan[$CellContext`bdmin/2]]]; $CellContext`AE := N[ Log[ Tan[$CellContext`aemax/2]/ Tan[$CellContext`aemin/2]]]; $CellContext`angleCAB := (180/Pi) ArcCos[(Cosh[$CellContext`C1A] Cosh[$CellContext`AB] - Cosh[$CellContext`BC])/(Sinh[$CellContext`C1A] Sinh[$CellContext`AB])]; $CellContext`angleDAB := (180/Pi) ArcCos[(Cosh[$CellContext`DA] Cosh[$CellContext`AB] - Cosh[$CellContext`BD])/(Sinh[$CellContext`DA] Sinh[$CellContext`AB])]; $CellContext`angleB := (180/Pi) ArcCos[(Cosh[$CellContext`BC] Cosh[$CellContext`AB] - Cosh[$CellContext`C1A])/(Sinh[$CellContext`BC] Sinh[$CellContext`AB])]; $CellContext`angleBCA := (180/Pi) ArcCos[(Cosh[$CellContext`C1A] Cosh[$CellContext`BC] - Cosh[$CellContext`AB])/(Sinh[$CellContext`C1A] Sinh[$CellContext`BC])]; $CellContext`angleEDA := (180/Pi) ArcCos[(Cosh[$CellContext`DA] Cosh[$CellContext`BC] - Cosh[$CellContext`AE])/(Sinh[$CellContext`DA] Sinh[$CellContext`BC])]; Switch[$CellContext`type$$, "ABC", {$CellContext`angleA := $CellContext`angleCAB; \ $CellContext`angleC := $CellContext`angleBCA, $CellContext`CA := \ $CellContext`C1A}, "ABCC", {$CellContext`angleA := $CellContext`angleDAB; \ $CellContext`angleC := $CellContext`angleEDA, $CellContext`CA := \ $CellContext`DA}]; Graphics[{ Inset[ Style["\:8fbaAB(\:9ed2)\:306e\:9577\:3055", 12], {0.5, 1.6}], Inset[ Style[Round[$CellContext`AB 100] 0.01, 12], {1.2, 1.6}], Inset[ Style["\:8fbaBC(\:9752)\:306e\:9577\:3055", 12], {0.5, 1.5}], Inset[ Style[Round[$CellContext`BC 100] 0.01, 12], {1.2, 1.5}], Inset[ Style["\:8fbaCA(\:7dd1)\:306e\:9577\:3055", 12], {0.5, 1.4}], Inset[ Style[Round[$CellContext`CA 100] 0.01, 12], {1.2, 1.4}], Inset[ Style["\[Angle]A(\:9752)=", 12], {0.4, 1.2}], Inset[ Style[Round[$CellContext`angleA] Degree, 12], {1.2, 1.2}], Inset[ Style["\[Angle]B(\:7dd1)=", 12], {0.4, 1.1}], Inset[ Style[Round[$CellContext`angleB] Degree, 12], {1.2, 1.1}], Inset[ Style["\[Angle]C(\:9ed2)=", 12], {0.4, 1.}], Inset[ Style[Round[$CellContext`angleC] Degree, 12], {1.2, 1.}], Inset[ Style["\[Angle]A+\[Angle]B+\[Angle]C=", 12], {0.4, 0.85}], Inset[ Style[ Round[$CellContext`angleA + $CellContext`angleB + \ $CellContext`angleC] Degree, 12], {1.2, 0.85}], Inset[".", {0, 0}]}]]], Manipulate`Dump`ThisIsNotAControl}}, Typeset`size$$ = {590., {417., 427.}}, Typeset`update$$ = 0, Typeset`initDone$$, Typeset`skipInitDone$$ = False, $CellContext`high$76224$$ = False, $CellContext`height$76225$$ = 0, $CellContext`width$76226$$ = 0, $CellContext`type$76227$$ = False, $CellContext`pt1$76228$$ = {0, 0}, $CellContext`pt2$76229$$ = {0, 0}, $CellContext`pt3$76230$$ = {0, 0}}, DynamicBox[Manipulate`ManipulateBoxes[ 1, StandardForm, "Variables" :> {$CellContext`height$$ = 2 Pi, $CellContext`high$$ = False, $CellContext`pt1$$ = {0, 2}, $CellContext`pt2$$ = {7, 1}, $CellContext`pt3$$ = {8, 2}, $CellContext`type$$ = "ABC", $CellContext`width$$ = 4 Pi}, "ControllerVariables" :> { Hold[$CellContext`high$$, $CellContext`high$76224$$, False], Hold[$CellContext`height$$, $CellContext`height$76225$$, 0], Hold[$CellContext`width$$, $CellContext`width$76226$$, 0], Hold[$CellContext`type$$, $CellContext`type$76227$$, False], Hold[$CellContext`pt1$$, $CellContext`pt1$76228$$, {0, 0}], Hold[$CellContext`pt2$$, $CellContext`pt2$76229$$, {0, 0}], Hold[$CellContext`pt3$$, $CellContext`pt3$76230$$, {0, 0}]}, "OtherVariables" :> { Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$, Typeset`skipInitDone$$}, "Body" :> ($CellContext`Ax := Part[$CellContext`pt1$$, 1]; $CellContext`Bx := Part[$CellContext`pt2$$, 1]; $CellContext`Cx := Part[$CellContext`pt3$$, 1]; $CellContext`Dx := Part[$CellContext`pt3$$, 1] + (2 Pi) ( 2 UnitStep[ Part[$CellContext`pt1$$, 1] - Part[$CellContext`pt3$$, 1]] - 1); $CellContext`Ex := Part[$CellContext`pt2$$, 1] + (2 Pi) ( 2 UnitStep[ Part[$CellContext`pt1$$, 1] - Part[$CellContext`pt3$$, 1]] - 1); $CellContext`Ay := Part[$CellContext`pt1$$, 2]; $CellContext`By := Part[$CellContext`pt2$$, 2]; $CellContext`Cy := Part[$CellContext`pt3$$, 2]; $CellContext`Dy := $CellContext`Cy; $CellContext`Ey := \ $CellContext`By; If[$CellContext`Ax != $CellContext`Bx, {$CellContext`c1 := \ (($CellContext`Ax^2 + $CellContext`Ay^2 - $CellContext`Bx^2 - \ $CellContext`By^2)/2)/($CellContext`Ax - $CellContext`Bx); $CellContext`R1 := Sqrt[($CellContext`Ax - $CellContext`c1)^2 + $CellContext`Ay^2]}]; If[$CellContext`Bx != $CellContext`Cx, {$CellContext`c2 := \ (($CellContext`Bx^2 + $CellContext`By^2 - $CellContext`Cx^2 - \ $CellContext`Cy^2)/2)/($CellContext`Bx - $CellContext`Cx); $CellContext`R2 := Sqrt[($CellContext`Bx - $CellContext`c2)^2 + $CellContext`By^2]}]; If[$CellContext`Cx != $CellContext`Ax, {$CellContext`c3 := \ (($CellContext`Cx^2 + $CellContext`Cy^2 - $CellContext`Ax^2 - \ $CellContext`Ay^2)/2)/($CellContext`Cx - $CellContext`Ax); $CellContext`R3 := Sqrt[($CellContext`Cx - $CellContext`c3)^2 + $CellContext`Cy^2]}]; \ $CellContext`c4 := (($CellContext`Dx^2 + $CellContext`Dy^2 - \ $CellContext`Ax^2 - $CellContext`Ay^2)/ 2)/($CellContext`Dx - $CellContext`Ax); $CellContext`R4 := Sqrt[($CellContext`Dx - $CellContext`c4)^2 + $CellContext`Dy^2]; \ $CellContext`Xmin := Pi - $CellContext`width$$/2; $CellContext`Xmax := Pi + $CellContext`width$$/2; $CellContext`h := ($CellContext`segCA2D := Switch[$CellContext`type$$, "ABC", {Green, If[$CellContext`Cx != $CellContext`Ax, Circle[{$CellContext`c3, 0}, $CellContext`R3], Line[{{$CellContext`Cx, $CellContext`Cy}, {$CellContext`Cx, \ $CellContext`Ay}}]]}, "ABCC", {Green, If[$CellContext`Dx != $CellContext`Ax, Circle[{$CellContext`c4, 0}, $CellContext`R4], Line[{{$CellContext`Dx, $CellContext`Dy}, {$CellContext`Dx, \ $CellContext`Ay}}]]}]; $CellContext`ptC2D := Switch[$CellContext`type$$, "ABC", {Black, Point[{$CellContext`Cx, $CellContext`Cy}], Text["C", {$CellContext`Cx, $CellContext`Cy}, {-2, 0}]}, "ABCC", {Black, Point[{$CellContext`Cx, $CellContext`Cy}], Text["C", {$CellContext`Cx, $CellContext`Cy}, {-2, 0}], Point[{$CellContext`Dx, $CellContext`Dy}], Text["C", {$CellContext`Dx, $CellContext`Dy}, {-2, 0}]}]; Show[ Plot[ 1, {$CellContext`x, $CellContext`Xmin, $CellContext`Xmax}, PlotRange -> {{$CellContext`Xmin, $CellContext`Xmax}, { 0, $CellContext`height$$}}, PlotStyle -> Dashed, Axes -> True, Ticks -> { Table[$CellContext`k Pi, {$CellContext`k, Floor[$CellContext`Xmin/Pi], Floor[$CellContext`Xmax/Pi]}]}, GridLines -> { Table[$CellContext`k (Pi/2), {$CellContext`k, Floor[2 ($CellContext`Xmin/Pi)], Floor[2 ($CellContext`Xmax/Pi)]}], Table[$CellContext`k, {$CellContext`k, 2, $CellContext`height$$}]}, GridLinesStyle -> Directive[Dashed]], Graphics[{ Line[{{0, 0}, {$CellContext`xmax, 0}}], Black, Thick, If[$CellContext`Ax != $CellContext`Bx, Circle[{$CellContext`c1, 0}, $CellContext`R1], Line[{{$CellContext`Ax, 0}, {$CellContext`Ax, $CellContext`height$$}}]], Blue, If[$CellContext`Bx != $CellContext`Cx, Circle[{$CellContext`c2, 0}, $CellContext`R2], Line[{{$CellContext`Bx, 0}, {$CellContext`Bx, $CellContext`height$$}}]], \ $CellContext`segCA2D, Blue, Point[{$CellContext`Ax, $CellContext`Ay}], Green, Point[{$CellContext`Bx, $CellContext`By}], $CellContext`ptC2D, Black, Text["A", {$CellContext`Ax, $CellContext`Ay}, {-1, 0}], Text["B", {$CellContext`Bx, $CellContext`By}, {-1, 0}], Blue, Dotted, Thin, Line[{{0, 0}, {0, $CellContext`height$$}}]}], AspectRatio -> Automatic]); $CellContext`gikyu := ($CellContext`ratio := If[$CellContext`high$$, {2, 2, 3.5}, Automatic]; Show[ RevolutionPlot3D[$CellContext`f, {$CellContext`x, 0, 1}, BoxRatios -> $CellContext`ratio], If[$CellContext`Ax != $CellContext`Bx, $CellContext`segment1, \ $CellContext`osegment1], If[$CellContext`Bx != $CellContext`Cx, $CellContext`segment2, \ $CellContext`osegment2], Switch[$CellContext`type$$, "ABC", If[$CellContext`Ax != $CellContext`Cx, $CellContext`segment3, \ $CellContext`osegment3], "ABCC", $CellContext`segment4], Graphics3D[{ PointSize[Large], Blue, Point[{(1/$CellContext`Ay) Cos[$CellContext`Ax], (1/$CellContext`Ay) Sin[$CellContext`Ax], ReplaceAll[$CellContext`f, $CellContext`x -> 1/$CellContext`Ay]}], Green, Point[{(1/$CellContext`By) Cos[$CellContext`Bx], (1/$CellContext`By) Sin[$CellContext`Bx], ReplaceAll[$CellContext`f, $CellContext`x -> 1/$CellContext`By]}], Black, Point[{(1/$CellContext`Cy) Cos[$CellContext`Cx], (1/$CellContext`Cy) Sin[$CellContext`Cx], ReplaceAll[$CellContext`f, $CellContext`x -> 1/$CellContext`Cy]}], Black, Text[ "A", {(1/$CellContext`Ay) Cos[$CellContext`Ax], (1/$CellContext`Ay) Sin[$CellContext`Ax], ReplaceAll[$CellContext`f, $CellContext`x -> 1/$CellContext`Ay]}, {-1, 0}], Text[ "B", {(1/$CellContext`By) Cos[$CellContext`Bx], (1/$CellContext`By) Sin[$CellContext`Bx], ReplaceAll[$CellContext`f, $CellContext`x -> 1/$CellContext`By]}], Text[ "C", {(1/$CellContext`Cy) Cos[$CellContext`Cx], (1/$CellContext`Cy) Sin[$CellContext`Cx], ReplaceAll[$CellContext`f, $CellContext`x -> 1/$CellContext`Cy]}]}]]); GraphicsColumn[{$CellContext`gikyu, $CellContext`h}]), "Specifications" :> { Style[ "\:5b9f\:969b\:306e\:6bd4\:7387\:3067 \:898b\:308b ", Bold], {{$CellContext`high$$, False, "Yes"}, {True, False}}, Delimiter, Style[ "\:30dd\:30a2\:30f3\:30ab\:30ec\:5e73\:9762", Bold], {{$CellContext`height$$, 2 Pi, "\:9ad8\:3055"}, 2 Pi, 10 Pi}, {{$CellContext`width$$, 4 Pi, "\:5e45"}, 2 Pi, 10 Pi}, Delimiter, Style[ "\:4e09\:89d2\:5f62ABC", Bold], {{$CellContext`type$$, "ABC"}, { "ABC", "ABCC"}}, {{$CellContext`pt1$$, {0, 2}, "\:70b9A"}, {(-2) Pi, 1}, {4 Pi, 2 Pi}}, {{$CellContext`pt2$$, {7, 1}, "\:70b9B"}, {(-2) Pi, 1}, { 4 Pi, 2 Pi}}, {{$CellContext`pt3$$, {8, 2}, "\:70b9C"}, {(-2) Pi, 1}, {4 Pi, 2 Pi}}, Delimiter, Style[ "\:9577\:3055\:3068\:89d2\:3000( \:5e95\:5186\:306e\:534a\:5f84\:304c\ \:ff11)", Bold], Dynamic[$CellContext`carange := { N[ ArcTan[$CellContext`Cx - $CellContext`c3, $CellContext`Cy]], N[ ArcTan[$CellContext`Ax - $CellContext`c3, $CellContext`Ay]]}; \ $CellContext`camin = Min[$CellContext`carange]; $CellContext`camax = Max[$CellContext`carange]; $CellContext`c5 := (($CellContext`Ex^2 + \ $CellContext`Ey^2 - $CellContext`Ax^2 - $CellContext`Ay^2)/ 2)/($CellContext`Ex - $CellContext`Ax); $CellContext`R5 := Sqrt[($CellContext`Ex - $CellContext`c5)^2 + $CellContext`Ey^2]; \ $CellContext`c6 := (($CellContext`Dx^2 + $CellContext`Dy^2 - \ $CellContext`Bx^2 - $CellContext`By^2)/ 2)/($CellContext`Dx - $CellContext`Bx); $CellContext`R6 := Sqrt[($CellContext`Dx - $CellContext`c6)^2 + $CellContext`Dy^2]; \ $CellContext`aerange := { N[ ArcTan[$CellContext`Ex - $CellContext`c5, $CellContext`Ey]], N[ ArcTan[$CellContext`Ax - $CellContext`c5, $CellContext`Ay]]}; \ $CellContext`aemin := Min[$CellContext`aerange]; $CellContext`aemax := Max[$CellContext`aerange]; $CellContext`bdrange := { N[ ArcTan[$CellContext`Dx - $CellContext`c6, $CellContext`Dy]], N[ ArcTan[$CellContext`Bx - $CellContext`c6, $CellContext`By]]}; \ $CellContext`bdmin := Min[$CellContext`bdrange]; $CellContext`bdmax := Max[$CellContext`bdrange]; $CellContext`AB := If[$CellContext`Ax != $CellContext`Bx, N[ Log[Tan[$CellContext`smax/2]/Tan[$CellContext`smin/2]]], N[ Abs[ Log[$CellContext`Ay/$CellContext`By]]]]; $CellContext`BC := If[$CellContext`Bx != $CellContext`Cx, N[ Log[Tan[$CellContext`tmax/2]/Tan[$CellContext`tmin/2]]], N[ Abs[ Log[$CellContext`By/$CellContext`Cy]]]]; $CellContext`C1A := If[$CellContext`Cx != $CellContext`Ax, N[ Log[Tan[$CellContext`camax/2]/Tan[$CellContext`camin/2]]], N[ Abs[ Log[$CellContext`Cy/$CellContext`Ay]]]]; $CellContext`DA := N[ Log[ Tan[$CellContext`damax/2]/ Tan[$CellContext`damin/2]]]; $CellContext`BD := N[ Log[ Tan[$CellContext`bdmax/2]/ Tan[$CellContext`bdmin/2]]]; $CellContext`AE := N[ Log[ Tan[$CellContext`aemax/2]/ Tan[$CellContext`aemin/2]]]; $CellContext`angleCAB := (180/Pi) ArcCos[(Cosh[$CellContext`C1A] Cosh[$CellContext`AB] - Cosh[$CellContext`BC])/(Sinh[$CellContext`C1A] Sinh[$CellContext`AB])]; $CellContext`angleDAB := (180/Pi) ArcCos[(Cosh[$CellContext`DA] Cosh[$CellContext`AB] - Cosh[$CellContext`BD])/(Sinh[$CellContext`DA] Sinh[$CellContext`AB])]; $CellContext`angleB := (180/Pi) ArcCos[(Cosh[$CellContext`BC] Cosh[$CellContext`AB] - Cosh[$CellContext`C1A])/(Sinh[$CellContext`BC] Sinh[$CellContext`AB])]; $CellContext`angleBCA := (180/Pi) ArcCos[(Cosh[$CellContext`C1A] Cosh[$CellContext`BC] - Cosh[$CellContext`AB])/(Sinh[$CellContext`C1A] Sinh[$CellContext`BC])]; $CellContext`angleEDA := (180/Pi) ArcCos[(Cosh[$CellContext`DA] Cosh[$CellContext`BC] - Cosh[$CellContext`AE])/(Sinh[$CellContext`DA] Sinh[$CellContext`BC])]; Switch[$CellContext`type$$, "ABC", {$CellContext`angleA := $CellContext`angleCAB; \ $CellContext`angleC := $CellContext`angleBCA, $CellContext`CA := \ $CellContext`C1A}, "ABCC", {$CellContext`angleA := $CellContext`angleDAB; \ $CellContext`angleC := $CellContext`angleEDA, $CellContext`CA := \ $CellContext`DA}]; Graphics[{ Inset[ Style["\:8fbaAB(\:9ed2)\:306e\:9577\:3055", 12], {0.5, 1.6}], Inset[ Style[Round[$CellContext`AB 100] 0.01, 12], {1.2, 1.6}], Inset[ Style["\:8fbaBC(\:9752)\:306e\:9577\:3055", 12], {0.5, 1.5}], Inset[ Style[Round[$CellContext`BC 100] 0.01, 12], {1.2, 1.5}], Inset[ Style["\:8fbaCA(\:7dd1)\:306e\:9577\:3055", 12], {0.5, 1.4}], Inset[ Style[Round[$CellContext`CA 100] 0.01, 12], {1.2, 1.4}], Inset[ Style["\[Angle]A(\:9752)=", 12], {0.4, 1.2}], Inset[ Style[Round[$CellContext`angleA] Degree, 12], {1.2, 1.2}], Inset[ Style["\[Angle]B(\:7dd1)=", 12], {0.4, 1.1}], Inset[ Style[Round[$CellContext`angleB] Degree, 12], {1.2, 1.1}], Inset[ Style["\[Angle]C(\:9ed2)=", 12], {0.4, 1.}], Inset[ Style[Round[$CellContext`angleC] Degree, 12], {1.2, 1.}], Inset[ Style["\[Angle]A+\[Angle]B+\[Angle]C=", 12], {0.4, 0.85}], Inset[ Style[ Round[$CellContext`angleA + $CellContext`angleB + \ $CellContext`angleC] Degree, 12], {1.2, 0.85}], Inset[".", {0, 0}]}]]}, "Options" :> {}, "DefaultOptions" :> {}], ImageSizeCache->{1020., {535.5, 542.5}}, SingleEvaluation->True], Deinitialization:>None, DynamicModuleValues:>{}, Initialization:>(( Clear["Global`*"]; $CellContext`xmax = 4 Pi; $CellContext`ymax = 2 Pi; $CellContext`f = Log[(1 + Sqrt[1 - $CellContext`x^2])/$CellContext`x] - Sqrt[ 1 - $CellContext`x^2]; $CellContext`segment1 := ($CellContext`range1 := { N[ ArcTan[$CellContext`Ax - $CellContext`c1, $CellContext`Ay]], N[ ArcTan[$CellContext`Bx - $CellContext`c1, $CellContext`By]]}; \ $CellContext`smin = Min[$CellContext`range1]; $CellContext`smax = Max[$CellContext`range1]; ParametricPlot3D[{(1/($CellContext`R1 Sin[$CellContext`s])) Cos[$CellContext`R1 Cos[$CellContext`s] + $CellContext`c1], ( 1/($CellContext`R1 Sin[$CellContext`s])) Sin[$CellContext`R1 Cos[$CellContext`s] + $CellContext`c1], ReplaceAll[$CellContext`f, $CellContext`x -> 1/($CellContext`R1 Sin[$CellContext`s])]}, {$CellContext`s, $CellContext`smin, \ $CellContext`smax}, PlotStyle -> { Thick, Black}]); $CellContext`segment2 := ($CellContext`range2 := { N[ ArcTan[$CellContext`Bx - $CellContext`c2, $CellContext`By]], N[ ArcTan[$CellContext`Cx - $CellContext`c2, $CellContext`Cy]]}; \ $CellContext`tmin = Min[$CellContext`range2]; $CellContext`tmax = Max[$CellContext`range2]; ParametricPlot3D[{(1/($CellContext`R2 Sin[$CellContext`t])) Cos[$CellContext`R2 Cos[$CellContext`t] + $CellContext`c2], ( 1/($CellContext`R2 Sin[$CellContext`t])) Sin[$CellContext`R2 Cos[$CellContext`t] + $CellContext`c2], ReplaceAll[$CellContext`f, $CellContext`x -> 1/($CellContext`R2 Sin[$CellContext`t])]}, {$CellContext`t, $CellContext`tmin, \ $CellContext`tmax}, PlotStyle -> { Thick, Blue}]); $CellContext`segment3 := ($CellContext`range3 := { N[ ArcTan[$CellContext`Cx - $CellContext`c3, $CellContext`Cy]], N[ ArcTan[$CellContext`Ax - $CellContext`c3, $CellContext`Ay]]}; \ $CellContext`umin = Min[$CellContext`range3]; $CellContext`umax = Max[$CellContext`range3]; ParametricPlot3D[{(1/($CellContext`R3 Sin[$CellContext`u])) Cos[$CellContext`R3 Cos[$CellContext`u] + $CellContext`c3], ( 1/($CellContext`R3 Sin[$CellContext`u])) Sin[$CellContext`R3 Cos[$CellContext`u] + $CellContext`c3], ReplaceAll[$CellContext`f, $CellContext`x -> 1/($CellContext`R3 Sin[$CellContext`u])]}, {$CellContext`u, $CellContext`umin, \ $CellContext`umax}, PlotStyle -> { Thick, Green}]); $CellContext`segment4 := ($CellContext`range4 := { N[ ArcTan[$CellContext`Dx - $CellContext`c4, $CellContext`Dy]], N[ ArcTan[$CellContext`Ax - $CellContext`c4, $CellContext`Ay]]}; \ $CellContext`damin := Min[$CellContext`range4]; $CellContext`damax := Max[$CellContext`range4]; ParametricPlot3D[{(1/($CellContext`R4 Sin[$CellContext`v])) Cos[$CellContext`R4 Cos[$CellContext`v] + $CellContext`c4], ( 1/($CellContext`R4 Sin[$CellContext`v])) Sin[$CellContext`R4 Cos[$CellContext`v] + $CellContext`c4], ReplaceAll[$CellContext`f, $CellContext`x -> 1/($CellContext`R4 Sin[$CellContext`v])]}, {$CellContext`v, $CellContext`damin, \ $CellContext`damax}, PlotStyle -> {Thick, Green}]); $CellContext`osegment1 := ParametricPlot3D[{$CellContext`u Cos[$CellContext`Ax], $CellContext`u Sin[$CellContext`Ax], ReplaceAll[$CellContext`f, $CellContext`x -> $CellContext`u]}, \ {$CellContext`u, 1/Max[$CellContext`Ay, $CellContext`By], 1/ Min[$CellContext`Ay, $CellContext`By]}, PlotStyle -> {Thick, Black}]; $CellContext`osegment2 := ParametricPlot3D[{$CellContext`u Cos[$CellContext`Bx], $CellContext`u Sin[$CellContext`Bx], ReplaceAll[$CellContext`f, $CellContext`x -> $CellContext`u]}, \ {$CellContext`u, 1/Max[$CellContext`By, $CellContext`Cy], 1/ Min[$CellContext`By, $CellContext`Cy]}, PlotStyle -> {Thick, Blue}]; $CellContext`osegment3 := ParametricPlot3D[{$CellContext`u Cos[$CellContext`Cx], $CellContext`u Sin[$CellContext`Cx], ReplaceAll[$CellContext`f, $CellContext`x -> $CellContext`u]}, \ {$CellContext`u, 1/Max[$CellContext`Cy, $CellContext`Ay], 1/ Min[$CellContext`Cy, $CellContext`Ay]}, PlotStyle -> {Thick, Green}]; Null); Typeset`initDone$$ = True), SynchronousInitialization->True, UnsavedVariables:>{Typeset`initDone$$}, UntrackedVariables:>{Typeset`size$$}], "Manipulate", Deployed->True, StripOnInput->False], 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