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On the implicit equation of conics and quadrics offsets

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

Autores/as

JORGE CARAVANTES TORTAJADA

DIAZ-TOCA, GEMA M.