Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. The division of an angle into three equal parts
from the GNU version of the Collaborative International Dictionary of English
 n. The division of a thing into three parts, Specifically: (Geom.) the division of an angle into three equal parts.
from The Century Dictionary and Cyclopedia
 n. The division of a thing into three parts; particularly, in geometry, the division of a straight line or an angle into three equal parts.
Etymologies
Sorry, no etymologies found.
Examples

There is one trisection which is of more importance than that of the angle.

The first published origami proof of the Delian problem was by a Japanese mathematician in 1980; and angle trisection followed, by an American in 1986.

The other two are the squaring of the circle, which is the construction of a square that has the same area as a given circle, and the trisection of an angle, which is the construction of an angle that is a third of a given angle.

Squaring the circle is one of the three great problems of Classical Geometry, along with the trisection of the angle and the duplication of the cube.

Welfare state: The logical result of Western inaction is the trisection of Bosnia into areas controlled by Croats, Serbs and Muslims, who would be squeezed into an area a fraction of the size they once inhabited.

Before that it had been a compendium of various failed angle trisection theorems, and before that, an incredibly long list of the powers of ten and the various words that had been invented to describe the astronomical numbers those powers represented.

But if he was very persistent, and the chase became too hot, it was easy to draw a red herring across the track, the aforesaid red herring generally taking the shape of one of those venerable questions, which, like the trisection of an angle, or the quadrature of a circle, or the secret of perpetual motion, shall never be finally solved.

Hippias himself used his curve for the trisection of any angle or the division of it in any ratio; but it was afterwards employed by Dinostratus, a brother of Eudoxus's pupil

By the second half of the fifth century B.C. they had investigated three famous problems in higher geometry, (1) the squaring of the circle, (2) the trisection of any angle, (3) the duplication of the cube.

He asserts that as he cannot find any solution to the problem it must have something to do with the squaring of the circle, the duplication of the cube, or the trisection of an angle; at any rate, he has never before seen a puzzle on the principle, and he gives it up.
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