@article{10902/24540, year = {2021}, month = {7}, url = {http://hdl.handle.net/10902/24540}, 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.}, organization = {This research was funded by the Spanish Ministerio de Economía y Competitividad and by the European Regional Development Fund (ERDF), under the project MTM2017-88796-P.}, publisher = {MDPI}, publisher = {Mathematics, 2021, 9 (15) 1784}, title = {On the implicit equation of conics and quadrics offsets}, author = {Caravantes Tortajada, Jorge and Diaz-Toca, Gema M. and Fioravanti Villanueva, Mario Alfredo and González Vega, Laureano}, }