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Titlebook: Automated Deduction in Geometry; Third International Jürgen Richter-Gebert,Dongming Wang Conference proceedings 2001 Springer-Verlag Berli

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Formation of the giant planets,itional approach and build our theory of vectors within the nonstandard analysis (NSA) framework developed in Isabelle. We show how this theory can be used to give intuitive, yet rigorous, nonstandard proofs of standard geometric theorems through the use of infinitesimal and infinite geometric quantities.
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Nonstandard Geometric Proofs,itional approach and build our theory of vectors within the nonstandard analysis (NSA) framework developed in Isabelle. We show how this theory can be used to give intuitive, yet rigorous, nonstandard proofs of standard geometric theorems through the use of infinitesimal and infinite geometric quantities.
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A Complex Change of Variables for Geometrical Reasoning,tative polynomial techniques can be used. Using the Gröbner basis package in the computer algebra package ., this approach is shown to have efficiency benefits in situations where distance and angle relations amongst geometrical entities predominate.
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