Angle trisection is a classical problem of straightedge and compass construction of ancient Greek mathematics. It concerns construction of an angle equal...
26 KB (3,070 words) - 17:38, 1 August 2024
Straightedge and compass construction (redirect from Trisected an angle)
example, the angle 2π/5 radians (72° = 360°/5) can be trisected, but the angle of π/3 radians (60°) cannot be trisected. The general trisection problem is...
36 KB (4,796 words) - 02:37, 3 October 2024
Cubic equation (section Solution with angle trisector)
construction (without trisector) if and only if it has a rational root. This implies that the old problems of angle trisection and doubling the cube,...
68 KB (10,291 words) - 19:55, 30 September 2024
Neusis construction (section Trisection of an angle)
line in the adjacent diagram. Angle a (left of point B) is the subject of trisection. First, a point A is drawn at an angle's ray, one unit apart from B...
9 KB (1,232 words) - 03:51, 13 September 2024
geometry, Morley's trisector theorem states that in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral...
13 KB (2,229 words) - 14:48, 14 January 2024
\left[\arccos \left(x\right)/3\right]} is an algebraic function, equivalent to angle trisection. The distinction between the reducible and irreducible cubic cases...
21 KB (3,373 words) - 21:12, 23 June 2024
Tomahawk (geometry) (section Trisection)
The tomahawk is a tool in geometry for angle trisection, the problem of splitting an angle into three equal parts. The boundaries of its shape include...
9 KB (1,099 words) - 20:34, 3 March 2023
List of trigonometric identities (redirect from Half-angle formula)
straightedge construction of angle trisection to the algebraic problem of solving a cubic equation, which allows one to prove that trisection is in general impossible...
81 KB (12,163 words) - 22:12, 3 October 2024
Hyperbola (section Angle trisection)
Apollonius of Perga, a hyperbola can be used to trisect any angle, a well studied problem of geometry. Given an angle, first draw a circle centered at its vertex...
75 KB (13,551 words) - 23:06, 17 August 2024
Inscribed angle Irrational angle Phase (waves) Protractor Solid angle Spherical angle Transcendent angle Trisection Zenith angle This approach requires,...
54 KB (6,741 words) - 14:47, 27 September 2024