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・ Lambert of Chalon
・ Lambert of Hersfeld
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Lambert quadrilateral
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Lambert quadrilateral : ウィキペディア英語版
Lambert quadrilateral

In geometry, a Lambert quadrilateral,〔the alternate name Ibn al-Haytham–Lambert quadrilateral, has been suggested in Boris Abramovich Rozenfelʹd (1988), ''A History of Non-Euclidean Geometry: Evolution of the Concept of a Geometric Space'', p. 65. Springer, ISBN 0-387-96458-4, in honor of Ibn al-Haytham
named after Johann Heinrich Lambert,
is a quadrilateral three of whose 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 be proved as a theorem. It is now known that the type of the fourth angle depends upon the geometry in which the quadrilateral exists. In hyperbolic geometry the fourth angle is acute, in Euclidean geometry it is a right angle and in elliptic geometry it is an obtuse angle.
A Lambert quadrilateral can be constructed from a Saccheri quadrilateral by joining the midpoints of the base and summit of the Saccheri quadrilateral. This line segment is perpendicular to both the base and summit and so either half of the Saccheri quadrilateral is a Lambert quadrilateral.
== Examples ==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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