9780486462370: Advanced Euclidean Geometry
Brossura
ISBN 10: 0486462374 ISBN 13: 9780486462370
Casa editrice: Dover Pubns, 2007

Sinossi

For many years, this elementary treatise on advanced Euclidean geometry has been the standard textbook in this area of classical mathematics; no other book has covered the subject quite as well. It explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. Several hundred theorems and corollaries are formulated and proved completely; numerous others remain unproved, to be used by students as exercises.
The author makes liberal use of circular inversion, the theory of pole and polar, and many other modern and powerful geometrical tools throughout the book. In particular, the method of "directed angles" offers not only a powerful method of proof but also furnishes the shortest and most elegant form of statement for several common theorems. This accessible text requires no more extensive preparation than high school geometry and trigonometry.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

Introduction Similar Figures Coaxal Circles and Inversion Triangles and Polygons Geometry of Circles Tangent Circles The Theorem of Miquel Theorems of Ceva and Menelaus Three Notable Points Inscribed and Escribed Circles The Nine Point Circle Symmedian Point and Other Notable Points Triangles in Perspective Pedal Triangles and Circles Shorter Topics The Brocard Configuration Equibrocardal Triangles Three Similar Figures Index

Product Description

This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. Several hundred theorems and corollaries are formulated and proved completely; numerous others remain unproved, to be used by students as exercises. 1929 edition.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Dover Pubns
Data di pubblicazione
2007
Lingua
Inglese
ISBN 10 
0486462374
ISBN 13 
9780486462370
Rilegatura
Copertina flessibile
Numero di pagine
319
Contatto del produttore
non disponibile
Persona responsabile
Soc. Agr. La Raia Ss
http://www.la-raia.it

Strada Monterotondo, 79
Novi Ligure
15067
Italia

Altre edizioni note dello stesso titolo

9780486788524: Advanced Euclidean Geometry

Edizione in evidenza

ISBN 10:  0486788520 ISBN 13:  9780486788524
Rilegato