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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.

[Asy_image]

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

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Categories: Titles incorrect due to Limitations | Definition | Geometry

Looking for a challenging geometry text? Preparing for MATHCOUNTS or the AMC exams? Check out Art of Problem Solving's Introduction to Geometry by Richard Rusczyk.

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