Isotomic Transversal

Suppose a line L^' meets sidelines BC, CA, and AB in points A^', B^', and C^', respectively. Let A^('') be the reflection of A^' about the midpoint of segment BC, and construct B^('') and C^('') similarly. Then A^(''), B^(''), and C^('') are collinear in a line known as the isotomic transversal of L^' (Kimberling 1998, p. 150).

An isotomic transversal is sometimes referred to as an isotomic conjugate (Ehrmann and van Lamoen 2004).

See also

Isotomic Conjugate, Isotomic Lines, Isotomic Transform

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Ehrmann, J.-P. and van Lamoen, F. M. "A Projective Generalization of the Droz-Farny Line Theorem." Forum Geom. 4, 225-227, 2004., C. "Triangle Centers and Central Triangles." Congr.Numer. 129, 1-295, 1998.

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Isotomic Transversal

Cite this as:

Weisstein, Eric W. "Isotomic Transversal." From MathWorld--A Wolfram Web Resource.

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