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cevian (Definition)

A cevian of a triangle, is any line segment joining a vertex with a point of the opposite side.

\includegraphics{cevian}
$AD$ is a cevian of $\triangle ABC$.

If $D$ is the midpoint of $BC$, then the cevian $AD$ is a median. If $AD$ is perpendicular to $BC$, then the cevian is a height.



"cevian" is owned by CWoo. [ full author list (2) | owner history (2) ]
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See Also: triangle, Ceva's theorem, proof of Apollonius theorem, trigonometric version of Ceva's theorem, median, height
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Cross-references: height, perpendicular, median, midpoint, opposite side, point, vertex, line segment, triangle
There are 2 references to this entry.

This is version 5 of cevian, born on 2002-01-08, modified 2007-12-15.
Object id is 1446, canonical name is Cevian.
Accessed 3063 times total.

Classification:
AMS MSC: 51M99 (Geometry :: Real and complex geometry :: Miscellaneous)
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