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Tłumaczenia dla hasła „collineation“ w angielsko » arabski słowniku (Przełącz na arabsko » angielski)

collineation

collineation

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More precisely, the collineation group is the projective semilinear group, which is the semidirect product of homographies by automorphic collineations. en.wikipedia.org

It is a bijection that maps lines to lines, and thus a collineation. en.wikipedia.org

Such a mapping permutes the lines of the incidence structure, and the notion of collineation persists. en.wikipedia.org

Thus, the fixed point and fixed line structure for any collineation either form a projective plane by themselves, or a degenerate plane. en.wikipedia.org

Not that a central collineation is uniquely defined by its center, its axis, a point and its image. en.wikipedia.org

Indeed, cross-ratio is invariant under any collineation, and the stable absolute enables the metric comparison, which will be equality. en.wikipedia.org

Some authors restrict the definition of collineation to the case where it is an automorphism. en.wikipedia.org

The composition of two central collineations, while still a homography, will in general not be a central collineation. en.wikipedia.org

Every affine vector field is a curvature collineation. en.wikipedia.org

One may also define collineation groups for axiomatically defined projective spaces, where there is no natural notion of a projective "linear" transform. en.wikipedia.org

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