using these axioms ( finite affine plane ) :
AA1 : there exists at least 4 distinct points , no there ofwhich are collinear .
AA2 : there exists at least one line with n (n>1) points onit .
AA3 : Given two distinct points , there is exactly one lineincident with both of them .
AA4 : Given a line l and a point p not on l , there is exactlyone line through p that does not intersect l .
prove : in an affine plane of order n , each line containsexactly n points .