Definition of Osculating
1. Verb. (present participle of osculate) ¹
2. Adjective. (mathematics of a curve) Having three or more points coincident with another ¹
¹ Source: wiktionary.com
Definition of Osculating
1. osculate [v] - See also: osculate
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Lexicographical Neighbors of Osculating
Literary usage of Osculating
Below you will find example usage of this term as found in modern and/or classical literature:
1. A Dictionary of Science, Literature, & Art: Comprising the Definitions and by George William Cox (1866)
"It is a consequence of this theory that no osculating curve having a contact of inferior order can be made to pass between two curves having a contact of a ..."
2. A Treatise on the Analytic Geometry of Three Dimensions by George Salmon (1882)
"And evidently the angle which the second tangent plane makes with a second osculating plane M'M"M'" differs from the angle which it makes with the first by ..."
3. An Elementary Treatise on the Differential Calculus: Containing the Theory by Benjamin Williamson (1899)
"osculating Carves.—When the equation of a curve contains a number, », of arbitrary coefficients, we can in general determine their values so that the curve ..."
4. Elements of Quaternions by William Rowan Hamilton (1901)
"The geometrical signification of the scalar p is evident from what precedes, namely, the height (KS) of the centre of the osculating sphere above that of ..."
5. An Elementary Treatise on the Differential Calculus: Containing the Theory by Benjamin Williamson (1899)
"osculating Curves.—When the equation of a curve contains a number, n, of arbitrary coefficients, we can in general determine their values so that the curve ..."
6. Geometry of Riemannian Spaces by Elie Cartan (1983)
"This is what we intend studying with regards to the osculating Euclidean space. II. ... Given there exists osculating Euclidean metrics, the set of these ..."
7. Solid Geometry by Percival Frost (1886)
"The direction cosines of the binormal, which is perpendicular to the osculating plane, are in the ratio 626. Direction cosines of the binormal. dyd*z ..."
8. A Course in Mathematical Analysis by Edouard Goursat, Earle Raymond Hedrick (1904)
"Let us try to find the osculating plane of r which passes through a given point (a, 6, c) of space. The coordinates (x, y, z) of the point of tangency must ..."