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A Collineation which transforms every 1-D form projectively. Any Collineation which transforms one range into a projectively related range is a projective collineation. Every Perspective Collineation is a projective collineation.
See also Collineation, Elation, Homology (Geometry), Perspective Collineation
References
Coxeter, H. S. M. Introduction to Geometry, 2nd ed. New York: Wiley, pp. 247-248, 1969.