Sylvester–Gallai theorem
id:
sylvester-gallai-theorem-186-13249253
title:
Sylvester–Gallai theorem
text:
The Sylvester–Gallai theorem in geometry states that every finite set of points in the Euclidean plane has a line that passes through exactly two of the points or a line that passes through all of them. It is named after James Joseph Sylvester, who posed it as a problem in 1893, and Tibor Gallai, who published one of the first proofs of this theorem in 1944. A line that contains exactly two of a set of points is known as an ordinary line. Another way of stating the theorem is that every finite s
brand slug:
wiki
category slug:
encyclopedia
description:
Existence of a line through two points
original url:
https://en.wikipedia.org/wiki/Sylvester%E2%80%93Gallai_theorem
date created:
2004-10-09T16:42:52Z
date modified:
2024-09-08T02:53:41Z
main entity:
{"identifier":"Q748233","url":"https://www.wikidata.org/entity/Q748233"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/8/8a/Ordinary_lines.svg","width":270,"height":270}
fields total:
13
integrity:
16