Osculating paraboloid
Osculating paraboloid of second order have been studied in classical differential geometry. In this article we generalize this concept to osculating paraboloids of higher order. This yields a visualization of the local properties of a given surface which depend on the derivatives of higher order.
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Format: | Article |
Language: | English |
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Vilnius University Press
2005-12-01
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Series: | Lietuvos Matematikos Rinkinys |
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Online Access: | https://www.journals.vu.lt/LMR/article/view/30805 |
Summary: | Osculating paraboloid of second order have been studied in classical differential geometry. In this article we generalize this concept to osculating paraboloids of higher order. This yields a visualization of the local properties of a given surface which depend on the derivatives of higher order.
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ISSN: | 0132-2818 2335-898X |