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In geometry, a Lambert quadrilateral (also known as Ibn al-Haytham–Lambert quadrilateral), [1] [2] is a quadrilateral in which three of its angles are right angles. Historically, the fourth angle of a Lambert quadrilateral was of considerable interest since if it could be shown to be a right angle, then the Euclidean parallel postulate could ...
A Lambert quadrilateral is a quadrilateral with three right angles. The fourth angle of a Lambert quadrilateral is acute if the geometry is hyperbolic, a right angle if the geometry is Euclidean or obtuse if the geometry is elliptic.
Pages in category "Types of quadrilaterals" ... Kite (geometry) L. Lambert quadrilateral; Levi-Civita parallelogramoid;
Ibn al-Haytham (Alhazen) (965–1039), an Arab mathematician, made an attempt at proving the parallel postulate using a proof by contradiction, [12] in the course of which he introduced the concept of motion and transformation into geometry. [13] He formulated the Lambert quadrilateral, which Boris Abramovich Rozenfeld names the "Ibn al-Haytham ...
In non-Euclidean geometry, a kite can have three right angles and one non-right angle, forming a special case of a Lambert quadrilateral. The fourth angle is acute in hyperbolic geometry and obtuse in spherical geometry .
In geometry, the ... (*∞222) orbifold symmetry. Its fundamental domain is a Lambert quadrilateral, with 3 right angles. Related polyhedra and tiling
Pages in category "Hyperbolic geometry" The following 90 pages are in this category, out of 90 total. ... Lambert quadrilateral; Limiting parallel; Local rigidity; M.
The theorems of Ibn al-Haytham (Alhazen), Omar Khayyam and Nasir al-Din al-Tusi on quadrilaterals, including the Lambert quadrilateral and Saccheri quadrilateral, were part of a line of research on the parallel postulate continued by later European geometers, including Vitello (c. 1230 – c. 1314), Gersonides (1288–1344), Alfonso, John ...
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