Ceva Quotient

Given ∆ABC and points P and Q. Then the cevian triangle of P and the anticevian triangle of Q are perspective and the perspector is the Ceva Quotient of points P and Q.



∆PaPbPc - Cevian triangle of P.
∆QaQbQc - Anticevian triangle of Q.
R = Ceva Quotient of P and Q = Perspector of triangles PaPbPc and QaQbQc.