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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
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author Akopyan, A V
Zaslavsky, A A
author_facet Akopyan, A V
Zaslavsky, A A
author_sort Akopyan, A V
collection CERN
description 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
id cern-2230389
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2007
publisher American Mathematical Society
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spelling cern-22303892021-04-21T19:26:55Zhttp://cds.cern.ch/record/2230389engAkopyan, A VZaslavsky, A AGeometry of conicsXXThe 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 confocaAmerican Mathematical Societyoai:cds.cern.ch:22303892007
spellingShingle XX
Akopyan, A V
Zaslavsky, A A
Geometry of conics
title Geometry of conics
title_full Geometry of conics
title_fullStr Geometry of conics
title_full_unstemmed Geometry of conics
title_short Geometry of conics
title_sort geometry of conics
topic XX
url http://cds.cern.ch/record/2230389
work_keys_str_mv AT akopyanav geometryofconics
AT zaslavskyaa geometryofconics