trisection

Angle a (left of point B) is the subject of trisection.

Worked on the trisection of the angle.

The trisection of the angle was one of the three famous problems of antiquity.

For from being minimal, the square trisection proposed by Abu'l-Wafa' uses 9 pieces.

For instance paper folding may be used for angle trisection and doubling the cube.

He looked triumphant, as if he'd just delivered a rigorous proof of the trisection of the angle.

For the geometric construction, see angle trisection.

He also wrote papers on angle trisection, matrix inversion, and applications of group theory to formal logic.

Examples are the trisection of any angle in three equal parts, or the construction of a regular heptagon.

This book had an approximate trisection of angles and implied construction of a cube root was impossible.

Reasoning on the Trisection of an Angle, by Aḥmad.

Use of neusis together with a compass and straightedge does allow trisection of an arbitrary angle.

The problem of angle trisection reads:

Trisection can be achieved by infinite repetition of the compass and straightedge method for bisecting an angle.

The square trisection consist in cutting a square into pieces that can be rearrange to form three identical squares.

Unlike a related trisection using a carpenter's square, the other side of the thickened handle does not need to be made parallel to this line segment.

A neat trisection.

Angle trisection is a classic problem of compass and straightedge constructions of ancient Greek mathematics.

The tomahawk is a tool in geometry for angle trisection, the problem of splitting an angle into three equal parts.

Other ancient dissection puzzles were used as graphic depictions of the Pythagorean theorem (see square trisection).

Angle trisection: using only a straightedge and a compass, construct an angle that is one-third of a given arbitrary angle.

This book, aimed at a general audience, examines the history of three classical problems from Greek mathematics: doubling the cube, squaring the circle, and angle trisection.

The general problem of angle trisection is solvable, but using additional tools, and thus going outside of the original Greek framework of compass and straightedge.

Angle trisection is another of the classical problems that cannot be solved using a compass and unmarked ruler but can be solved using origami.

He replaced the old kinematical trisection of an angle by a purely geometric solution (intersection of a circle and an equilateral hyperbola.)