A triple of three arbitrary vectors with common vertex (Altshiller-Court 1979), often called a trihedral angle since it determines three planes.

The vectors are often taken to be unit vectors, and the term trihedron is frequently encountered in the consideration of the unit orthogonal vectors given by T, N, and B (tangent vector, normal vector, and binormal vector).

See also

Binormal Vector, Centroidal Line, Dihedral Angle, Isoclinal Line, Isoclinal Plane, Normal Vector, Orthocentric Line, Tangent Vector

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Altshiller-Court, N. "The Trihedral Angle." Ch. 2 in Modern Pure Solid Geometry. New York: Chelsea, pp. 27-41, 1979.

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Cite this as:

Weisstein, Eric W. "Trihedron." From MathWorld--A Wolfram Web Resource.

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