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Prasolov Product |
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Given points P and Q in the plane of ∆ABC. Let A1B1C1 be the cevian triangle of P. Let A2 be the reflection of A1 in P. Define B2 and C2 analogously. If triangles ABC and A2B2C2 are perspective, we say that the Prasolov Product of points P and Q is defined. In such a case, we call the perspector of triangles ABC and A2B2C2 the Prasolov Product of points P and Q. The Prasolov Product of the Orthocenter and the Nine-Point Center is known as the Parsolov Point. The Prasolov Product is defined in this encyclopedia. 
R = Prasolov Product of points P and Q. |
