A Lambert quadrilateral in the hyperbolic plane has 3 right angles.
2.
In non-Euclidean geometry, a Lambert quadrilateral is a right kite with three right angles.
3.
The close axiomatic study of Euclidean geometry led to the construction of the Lambert quadrilateral and the Saccheri quadrilateral.
4.
A Lambert quadrilateral can be constructed from a Saccheri quadrilateral by joining the midpoints of the base and summit of the Saccheri quadrilateral.
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This line segment is perpendicular to both the base and summit and so either half of the Saccheri quadrilateral is a Lambert quadrilateral.
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The sum of the angles of a quadrilateral in hyperbolic geometry is always less than 4 right angles ( see Lambert quadrilateral ).
7.
He worked with a figure that today we call a " Lambert quadrilateral ", a quadrilateral with three right angles ( can be considered half of a Saccheri quadrilateral ).
8.
In hyperbolic geometry a Lambert quadrilateral " AOBF " where the angles \ angle FAO, \ angle AOB, \ angle OBF are curvature =-1 the following relations hold:
9.
The theorems of Alhacen, Khayyam and al-Tks + on quadrilaterals, including the Ibn al-Haytham Lambert quadrilateral and Khayyam Saccheri quadrilateral, were the first theorems on hyperbolic geometry.
10.
He formulated the Lambert quadrilateral, which Boris Abramovich Rozenfeld names the " Ibn al-Haytham Lambert quadrilateral ", and his attempted proof contains elements similar to those found in Lambert quadrilaterals and Playfair's axiom.
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