Difference between revisions of "Simson line"
(Created page with "In geometry, given a triangle ABC and a point P on its circumcircle, the three closest points to P on lines AB, AC, and BC are collinear. File:Simsonline.png ...") |
(No difference)
|
Revision as of 19:49, 23 June 2011
In geometry, given a triangle ABC and a point P on its circumcircle, the three closest points to P on lines AB, AC, and BC are collinear.
Proof
In the shown diagram, we draw additional lines and . Then, we have cyclic quadrilaterals , , and . (more will be added)