Pascal's theorem: Difference between revisions

Revision as of 17:36, 16 June 2022

Revision as of 17:32, 25 October 2022

Line 15:

== Related results ==

This theorem is a generalization of [[Pappus's hexagon theorem|Pappus's (hexagon) theorem]] – Pappus's theorem is the special case of a [[degenerate conic]] of two lines. Pascal's theorem is the [[polar reciprocation|polar reciprocal]] and [[projective dual]] of [[Brianchon's theorem]]. It was formulated by [[Blaise Pascal]] in a note written in 1639 when he was 16 years old and published the following year as a [[Broadside (printing)|broadside]] titled "Essay pour les coniques. Par B. P."<ref name=orig>{{harvnb|Pascal|1640}}, translation {{harvnb|Smith|1959|p=326}}</ref>

Pascal's theorem is a special case of the [[Cayley–Bacharach theorem]].