Cleaver (geometry)

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

* Splitter (geometry)

## Notes and references

1. ↑ Weisstein, Eric W.. "Cleaver". http://mathworld.wolfram.com/Cleaver.html.

* 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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