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Product |
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Given  ABC and points P and Q.
DenoteX1 - endpoint of the line through C and P. X2 - endpoint of the line through C and Q. K1 - intersection point of the line through X1 parallel to side BC. H1 - intersection point of the line through X1 parallel to side AC. K2 - intersection point of the line through X2 parallel to side BC. H2 - intersection point of the line through X2 parallel to side AC. M - intersection point of line segments AH1 and BK2. N - intersection point of line segments AH2 and BK1. X - intersection point of line segments MN and AB. Point X is said to be the C-Product of points P and Q. Similarly, define A and B-Products of points P and Q, denoted U and V, respectively. The Product of points P and Q is the point of concurrence of lines AU, BV and CX. 
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