Simson line
Revision as of 19:49, 23 June 2011 by Abcak (talk | contribs) (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 ...")
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)