trihedral

American  

[trahy-hee-druhl] / traɪˈhi drəl /

adjective

Geometry.

1. having, or formed by, three planes meeting in a point.

   a trihedral angle.

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noun

1. a trihedron.

trihedral British  

/ traɪˈhiːdrəl /

adjective

1. having or formed by three plane faces meeting at a point

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noun

1. a figure formed by the intersection of three lines in different planes

Other Word Forms

• subtrihedral
  adjective

Etymology

Origin of trihedral

First recorded in 1780–90; tri- + -hedral

Example Sentences

Demonstrate that if two trihedral angles have dihedral angles respectively equal, then their face angles are equal.

From Time Magazine Archive

Conceive of the figure as in space, so that M is the vertex of a trihedral angle of which the given triangles are plane sections.

From An Elementary Course in Synthetic Projective Geometry by Lehmer, Derrick Norman

The girder, which is slightly inclined to the horizontal plane, is geometrically supported, being carried at its end, and at the extremities of the T-piece, on a V-groove, trihedral hole and plane.

From Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 3 "Chitral" to "Cincinnati" by Various

The three points in the first, together with the three lines joining them two and two, form a triangle; the three planes in the second and their three lines of intersection form a trihedral angle.

From Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" by Various

In solid geometry it is used only in a proposition relating to the volumes of two triangular pyramids having a common trihedral angle, and this is usually omitted.

From The Teaching of Geometry by Smith, David Eugene