Cleaver (geometry)

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File:CleavanceCenter.svg
The cleavers and Spieker center of a triangle

In geometry, a cleaver of a triangle is a line segment that bisects the perimeter of the triangle and has one endpoint at the midpoint of one of the three sides.

See also

Notes and references

  • Ross Honsberger, "Cleavers and Splitters." Chapter 1 in Episodes in Nineteenth and Twentieth Century Euclidean Geometry. Mathematical Association of America, pages 1–14, 1995.