A generalization of Pascal's mystic hexagram

Authors

  • Sergi Baena Miret Universitat de Barcelona

Keywords:

Pascal's Theorem, Characteristic Ratio, Carnot's Theorem, Pascal Mapping, Max Noether's Fundamental Theorem.

Abstract

Pascal's classical theorem asserts that if a hexagon in P2(C) is inscribed in a conic, then the opposite sides of the hexagon lie on a straight line, called Pascal line. Zhongxuan Luo gave in 2007 a generalization of Pascal's theorem for curves of arbitrary degree. In the present article, two proofs of this generalization are given. The first one is self-contained and makes use of Carnot's theorem, while the second proof is based on Max Noether's Fundamental theorem.

Keywords: Pascal's Theorem, Characteristic Ratio, Carnot's Theorem, Pascal Mapping, Max Noether's Fundamental Theorem.

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How to Cite

Baena Miret, S. (2019). A generalization of Pascal’s mystic hexagram. Reports@SCM, 4(1), 1–8. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/145797

Issue

Vol. 4 No. 1 (2018)

Section

Articles

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