• Thumbnail for Saccheri quadrilateral
    A Saccheri quadrilateral is a quadrilateral with two equal sides perpendicular to the base. It is named after Giovanni Gerolamo Saccheri, who used it extensively...
    8 KB (1,118 words) - 23:54, 10 July 2023
  • Thumbnail for Quadrilateral
    construction of a quadrilateral Saccheri quadrilateral Types of mesh § Quadrilateral Quadrangle (geography) Homography - Any quadrilateral can be transformed...
    47 KB (6,758 words) - 15:09, 8 April 2024
  • Thumbnail for Lambert quadrilateral
    Lambert quadrilateral can be constructed from a Saccheri quadrilateral by joining the midpoints of the base and summit of the Saccheri quadrilateral. This...
    4 KB (584 words) - 23:41, 29 January 2023
  • Girolamo Saccheri (18th century). The theorems of Ibn al-Haytham, Khayyam and al-Tusi on quadrilaterals, including the Lambert quadrilateral and Saccheri quadrilateral...
    44 KB (6,013 words) - 04:15, 7 April 2024
  • Thumbnail for Giovanni Girolamo Saccheri
    aspects of hyperbolic geometry. One tool that Saccheri developed in his work (now called a Saccheri quadrilateral) has a precedent in the 11th-century Persian...
    13 KB (1,243 words) - 00:04, 26 April 2024
  • Thumbnail for Parallel postulate
    the area of a triangle. (Wallis axiom) The summit angles of the Saccheri quadrilateral are 90°. If a line intersects one of two parallel lines, both of...
    25 KB (3,235 words) - 11:47, 21 December 2023
  • Thumbnail for Lexell's theorem
    due to Carl Friedrich Gauss (1841), who constructs the Saccheri quadrilateral (a quadrilateral with two adjacent right angles and two other equal angles)...
    70 KB (8,765 words) - 23:11, 5 April 2024
  • Thumbnail for Trapezoid
    Trapezoid (category Types of quadrilaterals)
    A tangential trapezoid is a trapezoid that has an incircle. A Saccheri quadrilateral is similar to a trapezoid in the hyperbolic plane, with two adjacent...
    25 KB (3,053 words) - 18:41, 30 March 2024
  • Thumbnail for Hyperbolic geometry
    Khayyam and al-Tūsī on quadrilaterals, including the Ibn al-Haytham–Lambert quadrilateral and Khayyam–Saccheri quadrilateral, were the first theorems...
    56 KB (6,945 words) - 18:48, 26 January 2024
  • angles of a Saccheri quadrilateral are called the summit angles and they have equal measure. The summit angles of a Saccheri quadrilateral are acute if...
    76 KB (10,876 words) - 17:07, 31 March 2023