Rectifying Plane

rectifying plane

[′rek·tə‚fī·iŋ ‚plān]
(mathematics)
The plane that contains the tangent and binormal to a curve at a given point on the curve.

Rectifying Plane

 

The rectifying plane of a space curve L at a point M on L is the plane of the tangent and binormal to L at M. The envelope of the family of rectifying planes of L is a developable surface called the rectifying developable of L (seeRULEDSURFACE). On this surface, L is a geodesic. When the rectifying developable is developed on a plane, L becomes a straight line. In other words, L is “rectified”; this fact accounts for the term “rectifying plane.”

References in periodicals archive ?
At each of the curve, the planes spanned by {T, N}, {T, B} and {N, B} are known respectively as the osculating plane, the rectifying plane and the normal plane[5].
Both the rectifying planes of [gamma] and [gamma] are timelike.