Pedal Curve _ contrapedal of ellipse

[list=1][*] Parametric Equation of the ellipse[/*][/list]           [img width=101,height=43]data:image/png;base64,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[/img]   [br]         [br]   2.   Parametric Equation of the Locus   [br][br]           [img width=192,height=88]data:image/png;base64,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[/img]  [center][br][/center]

Information: Pedal Curve _ contrapedal of ellipse