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Abstract: We report, through different examples, the current development in GeoGebra, a widespread Dynamic Geometry software, of geometric automated reasoning tools by means of computational algebraic geometry algorithms. Then we introduce and analyze the case of the degeneracy conditions that so often arise in the automated deduction in geometry context, proposing two different ways for dealing with them. One is working with the saturation of the hypotheses ideal with respect to the ring of geometrically independent variables, as a way to globally handle the statement over all non-degenerate components. The second is considering the reformulation of the given hypotheses ideal?considering the independent variables as invertible parameters?and developing and exploiting the specific properties of this zero-dimensional case to analyze individually the truth of the statement over the different non-degenerate components
Fuente: Mathematics, 2021, 9(16), 1964
Publisher: MDPI
Year of publication: 2021
No. of pages: 17
Publication type: Article
DOI: 10.3390/math9161964
ISSN: 2227-7390
Spanish project: PID2020-113192GB-I00
Publication Url: https://doi.org/10.3390/math9161964
Consult in UCrea Read publication
KOVÁCS, ZOLTÁN
TOMAS JESUS RECIO MUÑIZ
LUIS FELIPE TABERA ALONSO
VÉLEZ, M. PILAR
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