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A quadratic transformation of the three-dimensional space of all conics throught two points of a projective plane

Donati G.

Demonstratio Mathematica

2009

Vol. 42, nr 3

619-625

Using the Steiner's method of projective generation of conics and its dual we define two projective mappings of a double contact pencil of conics into itself and we prove that one is the inverse of the other. We show that these projectiye mappings are induced by quadratic transformations of the three-dimensional projectiye space of all conics through two distinct points of a projective plane.