# normal plane

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## normal plane

[′nȯr·məl ′plān] (mathematics)

For a point

*P*on a curve in space, the plane passing through*P*which is perpendicular to the tangent to the curve at*P*.McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

The following article is from

*The Great Soviet Encyclopedia*(1979). It might be outdated or ideologically biased.## Normal Plane

(to a space curve at a given point *M*), the plane that passes through *M* perpendicular to the tangent line at *M*. The normal plane contains all normals to the curve that pass through the given point. If the curve is given in rectangular coordinates by the equations *x = f(t), y = g(t*), and *z* = *h(t*), then the equation of the normal plane at the point *M(x*_{0}, *y*_{0}, *z*_{0})corresponding to the value *to* of the parameter *t* can be written in the form

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.

## normal plane

In aerodynamics, a plane at right angles to the longitudinal axis of an aerial vehicle.

An Illustrated Dictionary of Aviation Copyright © 2005 by The McGraw-Hill Companies, Inc. All rights reserved