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Geometry of conics

The book is devoted to the properties of conics (plane curves of second degree) that can be formulated and proved using only elementary geometry. Starting with the well-known optical properties of conics, the authors move to less trivial results, both classical and contemporary. In particular, the c...

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Detalles Bibliográficos
Autores principales: Akopyan, A V, Zaslavsky, A A
Lenguaje:eng
Publicado: American Mathematical Society 2007
Materias:
XX
Acceso en línea:http://cds.cern.ch/record/2230389
Descripción
Sumario:The book is devoted to the properties of conics (plane curves of second degree) that can be formulated and proved using only elementary geometry. Starting with the well-known optical properties of conics, the authors move to less trivial results, both classical and contemporary. In particular, the chapter on projective properties of conics contains a detailed analysis of the polar correspondence, pencils of conics, and the Poncelet theorem. In the chapter on metric properties of conics the authors discuss, in particular, inscribed conics, normals to conics, and the Poncelet theorem for confoca