Pedal and contrapedal curves in equi-affine plane

Journal of Mathematical Analysis and Applications（2024）

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摘要

In this paper, we define equi-affine pedal and contrapedal curves in equi-affine plane. Then, we also consider the relationships among equi-affine evolutes, involutes, parallels, pedal and contrapedal curves. In addition, we investigate the classifications of singularities of equi-affine pedal and contrapedal curves.

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关键词

Equi-affine pedal curves,Contrapedal curves,Equi-affine plane,Singularities

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