Incidence (geometry) - Intersection of A Pair of Lines

Intersection of A Pair of Lines

Let L1 and L2 be a pair of lines, both in a projective plane and expressed in homogeneous coordinates:

where m1 and m2 are slopes and b1 and b2 are y-intercepts. Moreover let g be the duality mapping

which maps lines onto their dual points. Then the intersection of lines L1 and L2 is point P3 where

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