Osculating curves and surfaces
Articles
Kazimieras Navickis
Vilniaus universitetas
Published 2013-12-20
https://doi.org/10.15388/LMR.B.2013.06
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Keywords

curve
osculating circle
osculating curve
osculating sphere
osculating surface

How to Cite

Navickis K. (2013) “Osculating curves and surfaces”, Lietuvos matematikos rinkinys, 54(B), pp. 29–33. doi: 10.15388/LMR.B.2013.06.

Abstract

Osculating circle and osculating sphere have been studied in classical differential geometry [1]. In this article the osculating curves and surfaces of higher order of plane and space curves in Euclidean
n-space (n = 2, 3) is considered. We study the intrinsic differential geometry of curves by analyzing their contact with curves and surfaces of higher order.

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