Kosnita's theorem
id:
kosnita-s-theorem-276-6905819
title:
Kosnita's theorem
text:
In Euclidean geometry, Kosnita's theorem is a property of certain circles associated with an arbitrary triangle. Let A B C be an arbitrary triangle, O its circumcenter and O a , O b , O c are the circumcenters of three triangles O B C , O C A , and O A B respectively. The theorem claims that the three straight lines A O a , B O b , and C O c are concurrent. This result was established by the Romanian mathematician Cezar Coşniţă (1910-1962). Their point of concurrence is known as the triangle's K
brand slug:
wiki
category slug:
encyclopedia
description:
Concurrency of lines connecting to certain circles associated with an arbitrary triangle
original url:
https://en.wikipedia.org/wiki/Kosnita%27s_theorem
date created:
date modified:
2023-07-12T15:39:23Z
main entity:
{"identifier":"Q1785070","url":"https://www.wikidata.org/entity/Q1785070"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/2/28/Kosnita_points.svg","width":1018,"height":1056}
fields total:
13
integrity:
15