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Automated Deduction in Geometry

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Cover of 'Automated Deduction in Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Towards an Electronic Geometry Textbook
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    Chapter 2 Equidecomposable Quadratic Regions
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    Chapter 3 Automatic Verification of Regular Constructions in Dynamic Geometry Systems
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    Chapter 4 Recognition of Computationally Constructed Loci
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    Chapter 5 Algorithmic Search for Flexibility Using Resultants of Polynomial Systems
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    Chapter 6 Cylinders Through Five Points: Complex and Real Enumerative Geometry
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    Chapter 7 Detecting All Dependences in Systems of Geometric Constraints Using the Witness Method
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    Chapter 8 Automatic Discovery of Geometry Theorems Using Minimal Canonical Comprehensive Gröbner Systems
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    Chapter 9 Mechanical Theorem Proving in Tarski’s Geometry
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    Chapter 10 On the Need of Radical Ideals in Automatic Proving: A Theorem About Regular Polygons
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    Chapter 11 A Maple Package for Automatic Theorem Proving and Discovery in 3D-Geometry
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    Chapter 12 Geometry Expressions: A Constraint Based Interactive Symbolic Geometry System
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    Chapter 13 Constructing a Tetrahedron with Prescribed Heights and Widths
Attention for Chapter 8: Automatic Discovery of Geometry Theorems Using Minimal Canonical Comprehensive Gröbner Systems
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