• Thumbnail for Angle trisection
    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
  • Thumbnail for Straightedge and compass construction
    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
  • Thumbnail for Cubic equation
    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
  • Thumbnail for Neusis construction
    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
  • Thumbnail for Morley's trisector theorem
    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
  • Thumbnail for Tomahawk (geometry)
    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
  • Thumbnail for List of trigonometric identities
    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
  • Thumbnail for Hyperbola
    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
  • Thumbnail for Angle
    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