Definitions

from The Century Dictionary.

  • noun The division of a thing into three parts; particularly, in geometry, the division of a straight line or an angle into three equal parts.

from the GNU version of the Collaborative International Dictionary of English.

  • noun The division of a thing into three parts, Specifically: (Geom.) the division of an angle into three equal parts.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • noun mathematics The division of an angle into three equal parts

Etymologies

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Examples

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

    A Budget of Paradoxes, Volume II (of II) Augustus De Morgan 1838

  • 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.

    HERE’S LOOKING AT EUCLID Alex Bellos 2010

  • 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.

    HERE’S LOOKING AT EUCLID Alex Bellos 2010

  • 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.

    HERE’S LOOKING AT EUCLID Alex Bellos 2010

  • 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.

    HERE’S LOOKING AT EUCLID Alex Bellos 2010

  • 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.

    HERE’S LOOKING AT EUCLID Alex Bellos 2010

  • 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.

    HERE’S LOOKING AT EUCLID Alex Bellos 2010

  • 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.

    Archive 2009-05-01 2009

  • 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.

    [squaring the circle] and other gems 2009

  • 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.

    What If We Do Nothing? 2008

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