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Abstract: This paper addresses some concerns, and describes some proposals, on the ellusive concept of envelope of an algebraic family of varieties, and on its automatic computation. We describe how to use the recently developed Gröbner Cover algorithm to study envelopes of families of algebraic curves, and we give a protocol towards its implementation in dynamic geometry environments. The proposal is illustrated through some examples. A beta version of GeoGebra is used to highlight new envelope abilities in interactive environments, and limitations of our approach are discussed, since the computations are performed in an algebraically closed field.
Fuente: Mathematics and Computers in Simulation 125 (2016) 115?125
Publisher: Elsevier
Publication date: 01/07/2016
No. of pages: 11
Publication type: Article
DOI: 10.1016/j.matcom.2014.05.011
ISSN: 0378-4754,1872-7166
Spanish project: MTM2011?25816?C02?02
Publication Url: https://doi.org/10.1016/j.matcom.2014.05.011
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FRANCISCO RAMON BOTANA FERREIRO
TOMAS JESUS RECIO MUÑIZ
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