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.
Rezensionen / Stimmen
'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 Reviews
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Produkt-Hinweis
Broschur/Paperback
Klebebindung
Maße
Höhe: 230 mm
Breite: 152 mm
Dicke: 15 mm
Gewicht
ISBN-13
978-0-88385-619-2 (9780883856192)
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Schweitzer Klassifikation
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
