A01=American Mathematical Society
Author_American Mathematical Society
Category=PBM
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Product details
- ISBN 9780821843239
- Weight: 283g
- Publication Date: 30 Nov 2007
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
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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.
