Cleaver (geometry)

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 that center of the Spieker circle.

See also

• Splitter (geometry)

Notes and references

1. ^ Weisstein, Eric W., "Cleaver" from MathWorld.

• 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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