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Advanced Euclidean Geometry

Advanced Euclidean Geometry

Paperback Dover Books on Mathematics

By (author) Roger A. Johnson

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  • Publisher: Dover Publications Inc.
  • Format: Paperback | 336 pages
  • Dimensions: 135mm x 211mm x 18mm | 318g
  • Publication date: 30 November 2007
  • Publication City/Country: New York
  • ISBN 10: 0486462374
  • ISBN 13: 9780486462370
  • Illustrations note: 107 Figs.
  • Sales rank: 289,543

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.

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Table of contents

IntroductionSimilar FiguresCoaxal Circles and InversionTriangles and PolygonsGeometry of CirclesTangent CirclesThe Theorem of MiquelTheorems of Ceva and MenelausThree Notable PointsInscribed and Escribed CirclesThe Nine Point CircleSymmedian Point and Other Notable PointsTriangles in PerspectivePedal Triangles and CirclesShorter TopicsThe Brocard ConfigurationEquibrocardal TrianglesThree Similar FiguresIndex