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.
- Each cleaver is parallel to one of the angle bisectors of the triangle.[1]
- The three cleavers concur at the center of the Spieker circle.
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.
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