Geometry revisited /
H. S. M. Coxeter and S. L. Greitzer
- India Unversities Press 2022
- 193p.
- Anneli Lax New Mathematical Library Vol. 19 .
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 Morleys 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.
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Collinearity and Concurrence Quadrangles Transformations Inversive Geometry Projective Geometry