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 |
| Published: |
Vilnius University Press
2005-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/30805 |
| _version_ | 1797194472758444032 |
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| author | Kazimieras Navickis |
| author_facet | Kazimieras Navickis |
| author_sort | Kazimieras Navickis |
| collection | DOAJ |
| description |
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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| first_indexed | 2024-03-07T15:40:48Z |
| format | Article |
| id | doaj.art-91032d25c17545bba14020b4f645387c |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-04-24T05:56:50Z |
| publishDate | 2005-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-91032d25c17545bba14020b4f645387c2024-04-23T09:01:16ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2005-12-0145spec.10.15388/LMR.2005.30805Osculating paraboloidKazimieras Navickis0Vilnius University 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. https://www.journals.vu.lt/LMR/article/view/30805surfaceosculating surfaceosculating paraboloid |
| spellingShingle | Kazimieras Navickis Osculating paraboloid Lietuvos Matematikos Rinkinys surface osculating surface osculating paraboloid |
| title | Osculating paraboloid |
| title_full | Osculating paraboloid |
| title_fullStr | Osculating paraboloid |
| title_full_unstemmed | Osculating paraboloid |
| title_short | Osculating paraboloid |
| title_sort | osculating paraboloid |
| topic | surface osculating surface osculating paraboloid |
| url | https://www.journals.vu.lt/LMR/article/view/30805 |
| work_keys_str_mv | AT kazimierasnavickis osculatingparaboloid |