AoPSWiki
Want to learn how to tackle those tough MATHCOUNTS and AMC counting and probability problems? Check out Art of Problem Solving's Introduction to Counting & Probability by David Patrick.
Personal tools

De Longchamps point

From AoPSWiki

The title of this article has been capitalized due to technical restrictions. The correct title should be de Longchamps point.

draw((0,0)--(44,60)--(44,-10)--cycle);draw((0,0)--(44,0),blue+dashed);draw((44,60)--(22,-5),blue+dashed);draw((44,-10)--(6.5,...

The de Longchamps
point (L) is the the
orthocenter (H) reflected
through the circumcenter
(C).

The de Longchamps point of a triangle is the reflection of the triangle's orthocenter through its circumcenter.

The point is collinear with the orthocenter and circumcenter.

See Also

Want to learn how to tackle those tough AMC/AIME/Olympiad counting and probability problems? Check out Art of Problem Solving's Intermediate Counting & Probability by David Patrick.
© Copyright 2008 AoPS Incorporated. All Rights Reserved. • FoundationPrivacyContact Us