Geometrical properties Pedal curve

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limaçon — pedal curve of circle


when c circle above discussion shows following definitions of limaçon equivalent:



it pedal of circle.
it envelope of circles diameters have 1 endpoint on fixed point , endpoint follow circle.
it envelope of circles through fixed point centers follow circle.
it roulette formed circle rolling around circle same radius.

we have shown catacaustic of circle evolute of limaçon.








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