Word info

non-Euclidean

Adjective

Meaning

non-Euclidean (not comparable)

of, or relating to non-Euclidean geometry

Source: en.wiktionary.org

Examples

We find in the history of ideas mutations which do not seem to correspond to any obvious need, and at first sight appear as mere playful whimsies such as Apollonius' work on conic sections, or the non-Euclidean geometries, whose practical value became apparent only later. Arthur Koestler

The concept of congruence in Euclidean geometry is not exactly the same as that in non-Euclidean geometry. ..."Congruent" means in Euclidean geometry the same as "determining parallelism," a meaning which it does not have in non-Euclidean geometry. Hans Reichenbach

...the differential element of non-Euclidean spaces is Euclidean. This fact, however, is analogous to the relations between a straight line and a curve, and cannot lead to an epistemological priority of Euclidean geometry, in contrast to the views of certain authors. Hans Reichenbach

It [ non-Euclidean geometry ] would be ranked among the most famous achievements of the entire [nineteenth] century, but up to 1860 the interest was rather slight. Ivor Grattan-Guinness

If we wished to relate the space of the [Cubist] painters to geometry, we should have to refer it to the non-Euclidean mathematicians; we should have to study, at some length, certain of Riemann's theorems. Albert Gleizes

[Experimental Physicist] Phys. I cannot imagine myself perceiving non-Euclidean space! Math. Look at the reflection of the room in a polished doorknob, and imagine yourself one of the actors in what you see going on there. Arthur Eddington

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