Osculating Plane
Get Osculating Plane essential facts below. View Videos or join the Osculating Plane discussion. Add Osculating Plane to your PopFlock.com topic list for future reference or share this resource on social media.
Osculating Plane
A space curve, Frenet-Serret frame, and the osculating plane (spanned by T and N).

In mathematics, particularly in differential geometry, an osculating plane is a plane in a Euclidean space or affine space which meets a submanifold at a point in such a way as to have a second order of contact at the point. The word osculate is from the Latin osculatus which is a past participle of osculari, meaning to kiss. An osculating plane is thus a plane which "kisses" a submanifold.

The osculating plane in the geometry of Euclidean space curves can be described in terms of the Frenet-Serret formulas as the linear span of the tangent and normal vectors.

See also


  This article uses material from the Wikipedia page available here. It is released under the Creative Commons Attribution-Share-Alike License 3.0.

Osculating_plane
 



 



 
Music Scenes