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Cevian information


In geometry, a cevian is a line segment which joins a vertex of a triangle to a point on the opposite side of the triangle.[1][2] Medians and angle bisectors are special cases of cevians. The name "cevian" comes from the Italian mathematician Giovanni Ceva, who proved a well-known theorem about cevians which also bears his name.[3]

  1. ^ Coxeter, H. S. M.; Greitzer, S. L. (1967). Geometry Revisited. Washington, DC: Mathematical Association of America. p. 4. ISBN 0-883-85619-0.
  2. ^ Some authors exclude the other two sides of the triangle, see Eves (1963, p.77)
  3. ^ Lightner, James E. (1975). "A new look at the 'centers' of a triangle". The Mathematics Teacher. 68 (7): 612–615. JSTOR 27960289.

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