• Source: Osculating plane

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 Latin osculari '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


Normal plane (geometry)
Osculating circle
Differential geometry of curves § Special Frenet vectors and generalized curvatures




References

Kata Kunci Pencarian:

• Venus
• Ceres
• Osculating plane
• Osculating circle
• Frenet–Serret formulas
• Osculating curve
• Curvature
• Differentiable curve
• Tangent
• Torsion of a curve
• List of curves topics
• Asymptotic curve