Hompogeneous coordinates were used when proving theorems in projective geometry. An n-dimensional problem has corresponding to it an (n+1)-dimensional problem, and in most cases the (n+1)-dimensional problem is more easily solved than the n-dimensional one. Thus, by projecting the result of the (n+1)dimensional case, one can obtain the result for the n-dimensional case . With homogeneous coordinates, points at infinity can be treated in the same manner as points at finite distances.
KeywordsProjective Space Ideal Point Dimensional Problem Projective Geometry Euclidean Plane
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