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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 Mechanical Theorem Proving in Computational Geometry
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    Chapter 2 Computational Origami Construction of a Regular Heptagon with Automated Proof of Its Correctness
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    Chapter 3 Proving Geometric Theorems by Partitioned-Parametric Gröbner Bases
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    Chapter 4 Computations of the Area and Radius of Cyclic Polygons Given by the Lengths of Sides
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    Chapter 5 Symbolic Solution of a Piano Movers’ Problem with Four Parameters
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    Chapter 6 Computing Curves Bounding Trigonometric Planar Maps: Symbolic and Hybrid Methods
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    Chapter 7 Towards Solving the Dynamic Geometry Bottleneck Via a Symbolic Approach
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    Chapter 8 On the Decidability of Tracing Problems in Dynamic Geometry
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    Chapter 9 Towards a Geometric-Object-Oriented Language
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    Chapter 10 Spatial Planning and Geometric Optimization: Combining Configuration Space and Energy Methods
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    Chapter 11 n D Polyhedral Scene Reconstruction from Single 2D Line Drawing by Local Propagation
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    Chapter 12 Planar Generalized Stewart Platforms and Their Direct Kinematics
Attention for Chapter 9: Towards a Geometric-Object-Oriented Language
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Summary
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Chapter title
Towards a Geometric-Object-Oriented Language
Chapter number 9
Book title
Automated Deduction in Geometry
Published by
Springer, Berlin, Heidelberg, September 2004
DOI 10.1007/11615798_9
Book ISBNs
978-3-54-031332-8, 978-3-54-031363-2
Authors

Tielin Liang, Dongming Wang

View on publisher site

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