Prove the following version of Desargues’s theorem. Let A,B,C,A′,B′,C′ be six distinct points of A2.If no three of these points are collinear, then the lines AA′,BB′, and CC′ are parallel or collinear...

Prove the following version of Desargues’s theorem. Let A,B,C,A′,B′,C′ be six distinct points of A2.If no three of these points are collinear, then the lines AA′,BB′, and CC′ are parallel or collinear iff the intersection points M,N,P (in the sense of Problem2.7) of the pairs of lines (BC,B′C′),(CA,C′A′), and (AB,A′B′) are collinear in these nse of.