In plane geometry, a splitter of a triangle is a line segment having one endpoint at one of the three vertices of the triangle and the other so located on the perimeter as to bisect the perimeter.

The three splitters concur at the Nagel point of the triangle.

[edit] See also

• Cleaver (geometry)

[edit] 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.

[edit] External links

• Splitter at MathWorld

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