Let M be a finite projective plane so that all lines in M have the same number of points lying on them, call this number n+1.
Prove: Each point in M has n+1 lines passing through it
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Let M be a finite projective plane so that all lines in M have the same number of points lying on them, call this number n+1.
Prove: Each point in M has n+1 lines passing through it
Take a point P and a line H not containing P. Count the lines L1,L2,...through P by considering the point of intersection Qi of each line Li with H.