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Computing envelopes in dynamic geometry environments

Abstract: We review the behavior of some popular dynamic geometry software when computing envelopes, relating the diverse methods implemented in these programs with the various definitions of envelope. Special attention is given to the new GeoGebra 5.0 version, that incorporates a mathematically rigorous approach for envelope computations. Furthermore, a discussion on the role, in this context, of the cooperation between GeoGebra and a recent parametric polynomial solving algorithm is detailed. This approach seems to yield accurate results, allowing for the first time sound computations of envelopes of families of plane curves in interactive environments.

Otras publicaciones de la misma revista o congreso con autores/as de la Universidad de Cantabria

 Fuente: Annals of Mathematics and Artificial Intelligence, 2017, 80(1), 3-20

Editorial: Springer

 Fecha de publicación: 01/05/2017

Nº de páginas: 20

Tipo de publicación: Artículo de Revista

 DOI: 10.1007/s10472-016-9500-3

ISSN: 1012-2443,1573-7470

 Proyecto español: MTM2011-25816-C02-(01,02) ; MTM2014-54141-P

Url de la publicación: https://doi.org/10.1007/s10472-016-9500-3

Autoría

BOTANA, FRANCISCO

TOMAS JESUS RECIO MUÑIZ