A trihedron is 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 ,
, and (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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References Altshiller-Court, N. "The Trihedral Angle." Ch. 2 in Modern
Pure Solid Geometry. New York: Chelsea, pp. 27-41, 1979. Referenced
on Wolfram|Alpha Trihedron
Cite this as:
Weisstein, Eric W. "Trihedron." From MathWorld --A Wolfram Resource. https://mathworld.wolfram.com/Trihedron.html
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