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Cross Quotient |
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Given ∆ABC and points P and Q. Let QaQbQc be the cevian triangle of Q, and let PaPbPc be the cevian trriangle of P with respect to triangle QaQbQc. Then triangles ABC and PaPbPc are perspective, and the perspector is the Cross Quotient of P and Q.
QaQbQc = cevian triangle of point Q. PaPbPc = cevian triangle of P wrt triangle QaQbQc. R = Cross Quotient of P and Q = Perspector of triangles ABC and PaPbPc. |