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  3. Geometry Revisited
  • This book is no longer available to purchase from Cambridge Core
  • Cited by 314
Publisher:
Mathematical Association of America
Online publication date:
January 2012
Print publication year:
1967
Online ISBN:
9780883859346
DOI:
https://doi.org/10.5948/UPO9780883859346
Subjects:
Mathematics, Geometry and Topology
Series:
Anneli Lax New Mathematical Library
Information

Book description

Among the many beautiful and nontrivial theorems in geometry found here 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

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.

Source: Mathematical Reviews

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