2010•Journal of Tonghua Normal UniversityRequires access

Distribution of Invariant Elements of Two-dimensional Projective Transformation in Plane Projective Geometry

Zhou Ming-wang

Abstract

This article mainly discussed the distributed characteristics of the associative relation between the invariant point and the invariant straight line in terms of the existence of invariant elements and its solution for two-dimensional projective transformation.The structure of the invariant elements of two-dimensional projective transformation is analyzed theoretically,on which the influence of the invariant elements distribution is proposed furthermore.

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Key concepts: Collineation, Invariant (physics), Mathematics, Projective differential geometry, Projective plane, Projective test, Pure mathematics, Twisted cubic