**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

### Osculating Pictures

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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 ..."