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Abstract: We illustrate an on-going work on the crossroad of mechanical linkages, dynamic geometry and automated reasoning. In particular, we exemplify how some automated reasoning tools (ART) based on symbolic computation and recently implemented in GeoGebra, can be used for linkage exploration. For instance, when considering linkages for generating specific algebraic curves, such as Peaucellier's construction of a straight line, we will show how these ART can help towards the verification (automatic proving) of the correctness of the linkage construction, as well as for finding (automatic discovery) a suitable modification on a given linkage for achieving a desired movement.
Authorship: Kovács Z., Recio T., Vélez M.,
Fuente: Journal of Symbolic Computation
Publisher: Academic Press
Year of publication: 2019
No. of pages: 15
Publication type: Article
DOI: 10.1016/j.jsc.2018.12.003
ISSN: 0747-7171,1095-855X
Spanish project: MTM2017-88796-P
Publication Url: https://doi.org/10.1016/j.jsc.2018.12.003
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KOVÁCS, ZOLTÁN
TOMAS JESUS RECIO MUÑIZ
VÉLEZ, M. PILAR
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