Open AccessProperties to Determine Inscribed Ellipses of Polygons
Author(s) -
Yarong Li
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1903/1/012054
Subject(s) - inscribed figure , quadrilateral , ellipse , incircle and excircles of a triangle , mathematics , combinatorics , pentagon , perspective (graphical) , geometry , computer science , engineering , finite element method , structural engineering
In this paper, we extend the result of [1] by calculating some examples in detail, including the inscribed ellipses in triangles, quadrilaterals, and pentagons. We also improve the original proof and reduce the requirements through projective geometry methods in the quadrilateral and pentagon cases. Furthermore, we see the inscribed ellipse problems from the perspective of two projective planes simultaneously, which offers a new way to determine the inscribed ellipses in triangles. Also, we use python to realize the method provided in this paper of drawing inscribed ellipse.