Geometric Transformations

a one-to-one mapping of a straight line, plane, or space onto itself. Usually sets of geometric transformations are considered such that each finite sequence of transformations in the set can be replaced by one transformation of the set, and a transformation inverse to any of those considered also belongs to the given set. Such sets of geometric transformations form what is called a group of transformations. Examples of geometric transformations that form a group of transformations are the motions of a plane (or of a space), affine transformations, and projective transformations.

REFERENCE

Modenov, P. S., and A. S. Parkhomenko. Geometricheskie preobrazovaniia. Moscow, 1961.

单词	geometric transformations
释义	Geometric Transformations Geometric Transformations a one-to-one mapping of a straight line, plane, or space onto itself. Usually sets of geometric transformations are considered such that each finite sequence of transformations in the set can be replaced by one transformation of the set, and a transformation inverse to any of those considered also belongs to the given set. Such sets of geometric transformations form what is called a group of transformations. Examples of geometric transformations that form a group of transformations are the motions of a plane (or of a space), affine transformations, and projective transformations. REFERENCE Modenov, P. S., and A. S. Parkhomenko. Geometricheskie preobrazovaniia. Moscow, 1961.
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