Geometry Of Conics - A.V. Akopyan, A.A. Zaslavsky
American Mathematical Society (2007)
In Collection

Read It:
Curves, Algebraic, Geometry, Analytic, Geometry, Analytic - Plane, Mathematics / Advanced

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. The book demonstrates the advantage of purely geometric methods of studying conics. It contains over 50 exercises and problems aimed at advancing geometric intuition of the reader. The book also contains more than 100 carefully prepared figures, which will help the reader to better understand the material presented

Product Details
LoC Classification QA552 .A46 2007
Dewey 516.2152
Format Paperback
Cover Price 26,00 €
No. of Pages 134
Height x Width 249 x 173 mm