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Prasolov Point

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PrasolovPoint

Let DeltaA^'B^'C^' be the reflection of the orthic triangle of the reference triangle DeltaABC in the nine-point center. Then DeltaA^'B^'C^' and DeltaABC are in perspective, with their perspector known as the Prasolov point. This point has triangle center function

alpha_(68)=cosAsec(2A)

and is Kimberling center X_(68).

See also

Nine-Point Center, Orthic Triangle, Perspective Triangles, Perspector

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References

Kimberling, C. "Encyclopedia of Triangle Centers: X(68)=Prasolov Point." http://faculty.evansville.edu/ck6/encyclopedia/ETC.html#X68.Prasolov, V. V. Zadachi po planimetrii, 4th ed. Moscow, 2001.

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Prasolov Point

Cite this as:

Weisstein, Eric W. "Prasolov Point." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PrasolovPoint.html

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