engleski

Classification of perspective collineations and application to a conic

All perspective collineations in a real projective plane are classified according to a characteristic constant. In this paper it will be shown that it is possible to construct certain types of conic pencils from a given conic by using the appropriate perspective collineation. On the affine models of an isotropic and pseudo - Euclidean plane the osculating circle of a conic is constructed by using perspective collineations.

perspective collineation; homology; elation; characteristic constant; conic

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