
Geometry of Conics
American Mathematical Society(Author)
American Mathematical Society (Publisher)
Published on 30. November 2007
Book
Paperback/Softback
134 pages
978-0-8218-4323-9 (ISBN)
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 confocal ellipses.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
College/higher education
Professional and scholarly
Illustrations
Illustrations
Weight
283 gr
ISBN-13
978-0-8218-4323-9 (9780821843239)
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Schweitzer Classification
Content
Elementary properties of curves of second degree Some results from classical geometry Projective properties of conics Euclidean properties of curves of second degree Solutions to the problems Bibliography Index.