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| Hans Walser is lecturer at the Swiss Federal Instititute of Technology and the University of Basel. |
| Author's Foreword Foreword to the English Edition Author's Note to the English Edition 1 What's it all about? 1.1 If three lines meet 1.1.1 The dodecagon 1.1.2 A puzzle 1.1.3 Points of intersection of circles 1.2 Flowers for Fourier 1.2.1 An example 1.2.2 Background 1.3 Chebyshev and the Spirits 1.3.1 Chebyshev Polynomials 1.3.2 Points of intersection in the Golden Sectior 1.3.3 An optical effect 1.4 Sheaves generate curves 1.4.1 Sheaves of straight lines 1.4.2 Sheaves of circles 2 The 99 points of intersection 3 The background 3.1 The four classical points of intersection 3.2 Proof strategies 3.2.1 The classical proof: the dialogue 3.2.2 Proofs by calculation 3.2.3 Dynamic Geometry Software 3.2.4 Affine invariance 3.3 Central projection 3.4 Ceva's Theorem 3.4.1 Giovanni Ceva 3.4.2 Examples 3.4.2.1 The center of gravity 3.4.2.2 The point of intersection of altitudes 3.4.3 The angle version of Ceva's Theorem 3.4.4 Generalization of the angle version 3.4.4.1 General n-gons 3.4.4.2 Spherical triangles 3.5 Jacobi's Theorem 3.5.1 A general theorem about points of intersection 3.5.2 Jacobi's Theorem as a special case 3.5.3 Kiepert's Hyperbola 3.6 Remarks on selected points of intersection 3.6.1 Point of intersection 32 3.6.1.l Points of intersection 36 to 40 3.6.2 Point of intersection 79 3.6.3 Point of intersection 84 3.6.3.1 Pythagoras' Theorem as a special case of the Law of Cosines 3.6.3.2 A "Pythagoras-free" derivation of the Law of Cosines 3.6.3.3 Points of intersection 3.6.4 Point of intersection 87 3.6.5 Points of intersection 96, 97, 98 References Index About the Author |
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