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de Villiers Points


The first de Villiers point is the perspector of the reference triangle and its BCI triangle, which is Kimberling center X_(1127) and has triangle center function

 alpha_(1127)=csc(3/4A)sin(1/4A).

The second de Villiers point is the perspector of the reference triangle and the excenter analog of the BCI triangle, which is Kimberling center X_(1128) has triangle center function

 alpha_(1128)=csc[1/4(pi+3A)]sin[1/4(pi-A)].

See also

BCI Triangle, First de Villiers Point, Perspector, Second de Villiers Point

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References

de Villiers, M. "A Dual to Kosnita's Theorem." Math. Info. Quart. 6, 169-171, 1996. http://mzone.mweb.co.za/residents/profmd/kosnita.htm.

Referenced on Wolfram|Alpha

de Villiers Points

Cite this as:

Weisstein, Eric W. "de Villiers Points." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/deVilliersPoints.html

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