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Abstract: A new determinantal representation for the implicit equation of offsets to conics and quadrics is derived. It is simple, free of extraneous components and provides a very compact expanded form, these representations being very useful when dealing with geometric queries about offsets such as point positioning or solving intersection purposes. It is based on several classical results in ?A Treatise on the Analytic Geometry of Three Dimensions? by G. Salmon for offsets to non-degenerate conics and central quadrics.
Fuente: Mathematics, 2021, 9 (15) 1784
Editorial: MDPI
Fecha de publicación: 01/07/2021
Nº de páginas: 19
Tipo de publicación: Artículo de Revista
DOI: 10.3390/math9151784
ISSN: 2227-7390
Proyecto español: MTM2017-88796-P
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JORGE CARAVANTES TORTAJADA
DIAZ-TOCA, GEMA M.
MARIO ALFREDO FIORAVANTI VILLANUEVA
LAUREANO GONZALEZ VEGA
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