Geometry Revisited
Will be published approx. on 30. December 1967
Book
Paperback/Softback
193 pages
978-0-88385-619-2 (ISBN)
Description
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
Reviews / Votes
'The book is rich in remarkable facts and thereby is very effective in promoting the significance and the value of geometry in mathematical teaching, a promotion which is very necessary.' Mathematical ReviewsMore details
Series
Language
English
Place of publication
Washington DC
United States
Target group
College/higher education
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 230 mm
Width: 152 mm
Thickness: 15 mm
Weight
298 gr
ISBN-13
978-0-88385-619-2 (9780883856192)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
Preface
Chapter 1. Points and Lines Connected with a Triangle
Chapter 2. Some Properties of Circles
Chapter 3. Collinearity and Concurrence
Chapter 4. Transformations
Chapter 5. An Introduction to Inversive Geometry
Chapter 6. An Introduction to Projective Geometry
Hints and Answers to Exercises
References
Glossary
Index
Chapter 1. Points and Lines Connected with a Triangle
Chapter 2. Some Properties of Circles
Chapter 3. Collinearity and Concurrence
Chapter 4. Transformations
Chapter 5. An Introduction to Inversive Geometry
Chapter 6. An Introduction to Projective Geometry
Hints and Answers to Exercises
References
Glossary
Index