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Automated Deduction in Geometry [electronic resource] : 6th International Workshop, ADG 2006, Pontevedra, Spain, August 31-September 2, 2006, Revised Papers / edited by Francisco Botana, Tomas Recio.

Contributor(s): Material type: TextSeries: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007Edition: 1st ed. 2007Description: X, 218 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540773566
Subject(s): DDC classification:
  • 516 23
Online resources:
Contents:
Towards an Electronic Geometry Textbook -- Equidecomposable Quadratic Regions -- Automatic Verification of Regular Constructions in Dynamic Geometry Systems -- Recognition of Computationally Constructed Loci -- Algorithmic Search for Flexibility Using Resultants of Polynomial Systems -- Cylinders Through Five Points: Complex and Real Enumerative Geometry -- Detecting All Dependences in Systems of Geometric Constraints Using the Witness Method -- Automatic Discovery of Geometry Theorems Using Minimal Canonical Comprehensive Gröbner Systems -- Mechanical Theorem Proving in Tarski’s Geometry -- On the Need of Radical Ideals in Automatic Proving: A Theorem About Regular Polygons -- A Maple Package for Automatic Theorem Proving and Discovery in 3D-Geometry -- Geometry Expressions: A Constraint Based Interactive Symbolic Geometry System -- Constructing a Tetrahedron with Prescribed Heights and Widths.
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Towards an Electronic Geometry Textbook -- Equidecomposable Quadratic Regions -- Automatic Verification of Regular Constructions in Dynamic Geometry Systems -- Recognition of Computationally Constructed Loci -- Algorithmic Search for Flexibility Using Resultants of Polynomial Systems -- Cylinders Through Five Points: Complex and Real Enumerative Geometry -- Detecting All Dependences in Systems of Geometric Constraints Using the Witness Method -- Automatic Discovery of Geometry Theorems Using Minimal Canonical Comprehensive Gröbner Systems -- Mechanical Theorem Proving in Tarski’s Geometry -- On the Need of Radical Ideals in Automatic Proving: A Theorem About Regular Polygons -- A Maple Package for Automatic Theorem Proving and Discovery in 3D-Geometry -- Geometry Expressions: A Constraint Based Interactive Symbolic Geometry System -- Constructing a Tetrahedron with Prescribed Heights and Widths.

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