A very simple proof of Pascal's hexagon theorem and some applications

作者:Stefanovic Nedeljko; Milosevic Milos
来源:Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2010, 120(5): 619-629.

摘要

In this article we present a simple and elegant algebraic proof of Pascal's hexagon theorem which requires only knowledge of basics on conic sections without theory of projective transformations. Also, we provide an efficient algorithm for finding an equation of the conic containing five given points and a criterion for verification whether a set of points is a subset of the conic.

  • 出版日期2010-11