Braikenridge–Maclaurin theorem
id:
braikenridge-maclaurin-theorem-246-2636982
title:
Braikenridge–Maclaurin theorem
text:
In geometry, the Braikenridge–Maclaurin theorem, named for 18th-century British mathematicians William Braikenridge and Colin Maclaurin, is the converse to Pascal's theorem. It states that if the three intersection points of the three pairs of lines through opposite sides of a hexagon lie on a line L, then the six vertices of the hexagon lie on a conic C; the conic may be degenerate, as in Pappus's hexagon theorem. The Braikenridge–Maclaurin theorem may be applied in the Braikenridge–Maclaurin c
brand slug:
wiki
category slug:
encyclopedia
description:
Converse to Pascal's theorem In geometry
original url:
https://en.wikipedia.org/wiki/Braikenridge%E2%80%93Maclaurin_theorem
date created:
date modified:
2024-04-06T05:28:06Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/3/3c/Braikenridge%E2%80%93Maclaurin_theorem.svg","width":454,"height":397}
fields total:
13
integrity:
15