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математика
осевая коллинеация
[kəulini'eiʃ(ə)n]
общая лексика
коллинеарность
коллинеация
геометрия
проективное преобразование
существительное
математика
коллинеация
проективное преобразование
математика
группа коллинеаций
In projective geometry, a collineation is a one-to-one and onto map (a bijection) from one projective space to another, or from a projective space to itself, such that the images of collinear points are themselves collinear. A collineation is thus an isomorphism between projective spaces, or an automorphism from a projective space to itself. Some authors restrict the definition of collineation to the case where it is an automorphism. The set of all collineations of a space to itself form a group, called the collineation group.