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Square Quotient

Given ∆ABC and points P and Q. Let PaPbPc be the anticevian triangle of P, and let QaQbQc be the anticevian trriangle of Q with respect to triangle PaPbPc. Then triangles ABC and QaQbQc are perspective, and the perspector is the Square Quotient of P and Q.



PaPbPc = anticevian triangle of P.
QaQbQc = anticevian triangle of Q wrt triangle PaPbPc.
R = Square Quotient of P and Q = Perspector of triangles ABC and QaQbQc.