• Thumbnail for Straightedge and compass construction
    geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the...
    36 KB (4,796 words) - 02:37, 3 October 2024
  • Thumbnail for Angle trisection
    Angle trisection (category Compass and straightedge constructions)
    trisection is a classical problem of straightedge and compass construction of ancient Greek mathematics. It concerns construction of an angle equal to one third...
    26 KB (3,070 words) - 17:38, 1 August 2024
  • Thumbnail for Geometric mean theorem
    a right triangle. The theorem is used in the following straightedge and compass constructions. The h 2 = p q {\displaystyle h^{2}=pq} version of the formula...
    10 KB (1,307 words) - 20:09, 17 September 2024
  • Thumbnail for Poncelet–Steiner theorem
    concerning compass and straightedge constructions having additional restrictions imposed on the traditional rules. This result, related to the rusty compass equivalence...
    72 KB (9,759 words) - 22:00, 17 October 2024
  • compass equivalence theorem is an important statement in compass and straightedge constructions. The tool advocated by Plato in these constructions is...
    6 KB (646 words) - 21:45, 26 January 2024
  • a surface plate must be used. An idealized straightedge is used in compass-and-straightedge constructions in plane geometry. It may be used: Given two...
    3 KB (389 words) - 15:20, 7 September 2023
  • Thumbnail for Squaring the circle
    Squaring the circle (category Compass and straightedge constructions)
    of a given circle by using only a finite number of steps with a compass and straightedge. The difficulty of the problem raised the question of whether specified...
    45 KB (4,916 words) - 23:41, 24 August 2024
  • theorem states that any geometric construction that can be performed by a compass and straightedge can be performed by a compass alone. It must be understood...
    22 KB (2,829 words) - 18:27, 14 September 2024
  • Thumbnail for Constructible number
    constructible if it can be produced as one of the points of a compass and straightedge construction (an endpoint of a line segment or crossing point of two...
    33 KB (4,921 words) - 23:11, 22 August 2024
  • Circumcircle (category Compass and straightedge constructions)
    sometimes used as a way of obtaining a position line using a sextant when no compass is available. The horizontal angle between two landmarks defines the circumcircle...
    27 KB (4,758 words) - 05:22, 23 September 2024