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Topics on Pedal Polygons

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arxiv 2108.08293 v1 pith:OC4WFI25 submitted 2021-08-14 math.GM

Chia-An Hsu , Hsin-Chuang Chou , Chen-Rui Liu , Chih-Hsuan Liang , Yu-Wei Chang This is my paper · ORCID
classification math.GM
keywords pedalpolygonspolygontopicsanotherareacentersexistence
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In this paper, we study several topics on pedal polygons. First, we prove the existence for pedal centers of triangles in a new way. From its proof, we find that the sum of area of outer and inner polygons is invariant under rotation. Finally, we investigate when a polygon will be a pedal polygon of another one.

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