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De Longchamps point

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

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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

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