| 释义 |
non-Euˈclidean, -ian, a.
[non- 3.]
Not Euclidean or in accordance with the principles of Euclid.
non-Euclidean geometry: a system of geometry involving the study of the consequences which follow from denying (or, in a wider use, merely dispensing with) any of the assumptions on which the Euclidean system is founded. (See also metageometry, pangeometry.) non-Euclidean space: the kind of space with which this geometry deals.
1874Lewes Probl. Life & Mind Ser. i. I. 59 A non-Euclidian geometry. 1878Newcomb Pop. Astron. iv. iii. 505 Several geometrical systems have been constructed in recent times, which are included under the general appellation of the non-Euclidian Geometry. 1900R. S. Ball Theory Screws 439 The..basis of the mensuration of non-Euclidian space. |