English Dictionary

hyperbolic geometry

名詞

可算名詞 不可算名詞

(geometry) A type of geometry that rejects the parallel postulate. Given a straight line L and a point P not on the line, more than one straight line can be drawn through P without intersecting L.

日本語の意味

双曲幾何学: 平行公理を否定する幾何学の一分野で、直線とその外にある一点を与えると、その点を通り直線と交わらない複数の直線が引けるという性質を持つ。

During the seminar, the professor illustrated how hyperbolic geometry allows more than one straight line through a point not on a given line without intersecting it, surprising many students.

セミナーで教授は、与えられた直線上にない点を通りながらその直線と交わらない直線が複数引けることを示し、双曲幾何学は多くの学生を驚かせた。

意味（1）

(geometry) A type of geometry that rejects the parallel postulate. Given a straight line L and a point P not on the line, more than one straight line can be drawn through P without intersecting L.

意味（2）

(mathematics) A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature

hyperbolic geometries （ plural ）