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английски)

collineation [ˌkəlɪniːˈeɪʃn] СЪЩ

collineation

collineazione f

Индивидуални преводни двойки

collineation

английски

A duality is a collineation from a projective space onto its dual space, taking points to hyperplanes (and vice versa) and preserving incidence. 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

It is a bijection that maps lines to lines, and thus a 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

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

The geometric view of a central collineation is easiest to see in a projective plane. en.wikipedia.org

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

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английски