Advanced Euclidean Geometry
eBook - ePub

Advanced Euclidean Geometry

  1. 336 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Advanced Euclidean Geometry

About this book

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.

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Yes, you can access Advanced Euclidean Geometry by Roger A. Johnson in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebraic Geometry. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Editor's Introduction
  5. Preface
  6. Contents
  7. I. Introduction
  8. II. Similar Figures
  9. III. Coaxal Circles and Inversion
  10. IV. Triangles and Polygons
  11. V. Geometry of Circles
  12. VI. Tangent Circles
  13. VII. The Theorem of Miquel
  14. VIII. Theorems of Ceva and Menelaus
  15. IX. Three Notable Points
  16. X. Inscribed and Escribed Circles
  17. XI. The Nine Point Circle
  18. XII. Symmedian Point and Other Notable Points
  19. XIII. Triangles in Perspective
  20. XIV. Pedal Triangles and Circles
  21. XV. Shorter Topics
  22. XVI. The Brocard Configuration
  23. XVII. Equibrocardal Triangles
  24. XVIII. Three Similar Figures
  25. Index