Examples of automatic theorem proving a real geometry

Authors:
Ahmed Guergueb;Jean Mainguené;Marie-Françoise Roy
Affiliations:
-;-;IRMAR (URA CNRS 305), Université de Rennes, Campus de Beaulieu 35042 Rennes cedex FRANCE
Venue:
ISSAC '94 Proceedings of the international symposium on Symbolic and algebraic computation
Year:
1994

Citing 5
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Abstract

In this paper we show that computer algebra methods in mechanical geometry theorem proving can also be applied to obtain new theorems involving inequalities. An interesting feature is that in real geometry, several cases can occur, none of them being more generic than the other. The examples we give come from the geometry of the triangle, more precisely comparing radii of circles defined in the triangle.