“Lobachevsky's Formula”的概念、定义、习题解题方法及翻译-数学辞典

单词

Lobachevsky's Formula

释义

Lobachevsky's Formula

Given a point and a Line , draw the Perpendicular through and call it . Let be any otherline from which meets in . In a Hyperbolic Geometry, as moves off to infinity along , then theline approaches the limiting line , which is said to be parallel to at . The angle which makes with is then called the Angle of Parallelism for perpendicular distance , and is given by

which is called Lobachevsky's formula.

See also Angle of Parallelism, Hyperbolic Geometry

References

Manning, H. P. Introductory Non-Euclidean Geometry. New York: Dover, p. 58, 1963.

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