trisecting's Usage Examples:

Some classical construction problems of geometry — namely trisecting an arbitrary angle or doubling the cube — are proven to be unsolvable.

As with the related problems of squaring the circle and trisecting the angle, doubling the cube is now known to be impossible using only.

the Greek mathematicians: squaring the circle, doubling the cube, and trisecting the angle.

from 1837, Wantzel proved that the problems of doubling the cube, and trisecting the angle are impossible to solve if one uses only compass and straightedge.

black stripe down the center bisecting the insect and two black stripes trisecting the wing shells.

antiquity cannot be solved as they were stated (doubling the cube and trisecting the angle), and characterizing the regular polygons that are constructible.

impossible compass and straightedge constructions: duplicating the cube, trisecting an angle, and squaring the circle.

was engaged in trying to solve the problems of doubling the cube and trisecting the angle, both problems we now understand to be impossible using the.

Two other classical problems—trisecting the general angle and doubling the cube—were also proved impossible in.

One of the two trisecting lines then lies on the handle segment, and the other passes through the.

the geometric cryptographic methods are based on the impossibility of trisecting an angle using ruler and compass.

In 1837 Pierre Wantzel published a proof of the impossibility of trisecting an arbitrary angle or of doubling the volume of a cube, based on the impossibility.

that several ancient geometric problems (including doubling the cube and trisecting the angle) are impossible to solve using only compass and straightedge.

squaring the circle, constructing regular polygons of any order, and trisecting the angle.

been rigorously proved to be unsolvable, such as squaring the circle and trisecting the angle using only the compass and straightedge constructions of classical.

to be impossible with compass and straightedge, doubling the cube and trisecting an angle.

non-Euclidean geometry, 1837 – Pierre Wantzel proves that doubling the cube and trisecting the angle are impossible with only a compass and straightedge, as well.

Synonyms:

cut;

Antonyms:

lengthen; inflate;