Anticevian Triangle

Given a center $\alpha:\beta:\gamma$, the anticevian triangle is defined as the Triangle with Vertices $-\alpha:\beta:\gamma$, $\alpha:-\beta:\gamma$, and $\alpha:\beta:-\gamma$. If $A'B'C'$ is the Cevian Triangle of $X$ and $A''B''C''$ is an anticevian triangle, then $X$ and $A''$ are Harmonic Conjugate Points with respect to $A$ and $A'$.

See also Cevian Triangle

References

Kimberling, C. ``Central Points and Central Lines in the Plane of a Triangle.'' Math. Mag. 67, 163-187, 1994.