A quadratic transformation of the three-dimensional space of all conics through two points of a projective plane
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AbstractUsing 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 projective mappings are induced by quadratic transformations of the three-dimensional projective space of all conics through two distinct points of a projective plane.
1952 ◽
Vol 48
(3)
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pp. 383-391
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1954 ◽
Vol 222
(1149)
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pp. 262-286
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1925 ◽
Vol 22
(5)
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pp. 751-758
2005 ◽
Vol 04
(02)
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pp. 397-409
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