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Quotient |
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Given ∆ABC and points P and Q. Denote R - isotomic conjugate of the anticomplement of point P. Lb1 - line parallel to the line BR and passing through point Q. Lc1 - line parallel to the line CR and passing through point Q. B1 - intersection point of lines AC and Lb1. C1 - intersection point of lines AB and Lc1. Lb2 - line parallel to the line BR and passing through point C1. Lc2 - line parallel to the line CR and passing through point B1. K - intersection point of lines Lb2 and Lc2 (Fig 1). 
Define analogously points L and M (Fig.2). Triangles ABC and KLM are perspective and the perspector X (Fig. 2) is the quotient of P divided by Q. 
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