Advanced euclidean geometry
β Scribed by Roger A. Johnson
- Publisher
- Dover
- Year
- 1960
- Tongue
- English
- Leaves
- 333
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Title page
Preface
Contents (detailed)
I. INTRODUCTION
II. SIMILAR FIGURES
III. COAXAL CIRCLES AND INVERSION
IV. TRIANGLES AND POLYGONS
V. GEOMETRY OF CIRCLES
VI. TANGENT CIRCLES
VII. THE THEOREM OF MIQUEL
VIII. THEOREMS OF CEVA AND MENELAUS
IX. THREE NOTABLE POINTS
X. INSCRIBED AND ESCRIBED CIRCLES
XI. THE NINE POINT CIRCLE
XII. SYMMEDIAN POINT AND OTHER NOTABLE POINTS
XIII. TRIANGLES lN PERSPECTIVE
XIV. PEDAL TRIANGLES AND CIRCLES
XV. SHORTER TOPICS
XVI. THE BROCARD CONFIGURATION
XVII. EQUIBROCARDAL TRIANGLES
XVIII. THREE SIMILAR FIGURES
INDEX
π SIMILAR VOLUMES
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
<P><EM>Advanced Euclidean Geometry</EM>Β provides a thorough review of the essentials ofΒ high school geometryΒ and then expands those concepts to advanced Euclidean geometry, to give teachers more confidence in guiding student explorations and questions.</P> <P>The text contains hundreds of illustrat
<P><EM>Advanced Euclidean Geometry</EM>Β provides a thorough review of the essentials ofΒ high school geometryΒ and then expands those concepts to advanced Euclidean geometry, to give teachers more confidence in guiding student explorations and questions.</P> <P>The text contains hundreds of illustrat
<p>This book provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered include triangle centers, inscribed, circumsc