# The Reflection Conjugate r(P)

- Author:
- Steve Phelps

- Topic:
- Geometry, Reflection

Take any point not the orthocenter and reflect it in the sides producing points Pa, Pb, and Pc.
The circles PaBC, PbAC, and PcAB intersect at the REFLECTION CONJUGATE OF P, designated r(P).
It is called the reflection conjugate since r(r(P)) = P.