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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- Jun 8th 2006, 01:05 PMJudihelp on proof
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 - Jun 8th 2006, 11:23 PMrgep
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.