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J. M.'s missing motivation

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graphics equation-solving geometry intersection

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edited Jun 26, 2015 at 3:37

J. M.'s missing motivation

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How to solve for the intescetionintersection points of two ellipseellipses?

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edited Jun 26, 2015 at 2:08

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Thanks for J.M's suggestions, with the help of FindIntersectionsGraphics`Mesh`FindIntersections

newSolution[mat1_, mat2_] := Module[{graph, pts}, graph = ParametricPlot[ {mat1.{Sin[θ], Cos[θ]]Cos[θ], 1}, mat2.{Sin[θ], Cos[θ], 1}}, {θ, 0, 2 Pi}]; pts = FindIntersections[First[graph]]; ParametricPlot[ ,Epilog -> {mat1.Point[{Sin[θ], Cos[θ].1, 1.2},]}]; pts = mat2.{Sin[θ],Graphics`Mesh`FindIntersections[First[graph]];  Cos[θ], 1}},graph {θ,/.  0, 2 Pi}, (Epilog -> _) -> Epilog -> {Red, PointSize[Medium], Point[pts]}] ]

Thanks for J.M's suggestions, with the help of FindIntersections

newSolution[mat1_, mat2_] := Module[{graph, pts}, graph = ParametricPlot[ {mat1.{Sin[θ], Cos[θ]], 1}, mat2.{Sin[θ], Cos[θ], 1}}, {θ, 0, 2 Pi}]; pts = FindIntersections[First[graph]]; ParametricPlot[  {mat1.{Sin[θ], Cos[θ], 1}, mat2.{Sin[θ], Cos[θ], 1}}, {θ, 0, 2 Pi},  Epilog -> {Red, PointSize[Medium], Point[pts]}] ]

Thanks for J.M's suggestions, with the help of Graphics`Mesh`FindIntersections

newSolution[mat1_, mat2_] := Module[{graph, pts}, graph = ParametricPlot[ {mat1.{Sin[θ], Cos[θ], 1}, mat2.{Sin[θ], Cos[θ], 1}}, {θ, 0, 2 Pi},Epilog -> {Point[{.1, .2}]}]; pts = Graphics`Mesh`FindIntersections[First[graph]];  graph /.  (Epilog -> _) -> Epilog -> {Red, PointSize[Medium], Point[pts]} ]

graphics equation-solving intersection

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edited Jun 26, 2015 at 1:53

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asked Jun 25, 2015 at 7:45

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