11 examples of euclidean in sentences

Euclidean geometry is reduced to a useful interpretation of the data of experience; it is not theoretically the only one.

In Euclidean geometry we assume definitions of 'points,' 'lines,' 'surfaces,' etc., which are never found in nature, but form the most convenient abstractions for measuring things.

The syllogistic method of presentation employed in the Euclidean geometry led to the belief that the more special theorems had been derived from the simpler ones, and these from the axioms, by a process of conceptual analysis; while the fact is that in mathematics all progress is by intuition alone, the syllogism serving merely to formulate and explain truths already attained, but not to supply new ones.

G. Cantor, and others, which look on our Euclidean space of three dimensions as a special case of the unintuitable yet thinkable analytic concept of a space of n dimensions.

After correcting Newton, it remained to correct Euclid, and it was in terms of non-Euclidean geometry that he stated his new theory.

Non-Euclidean geometry is a study of which the primary motive was logical and philosophical; few of its promoters ever dreamed that it would come to be applied in physics.

It is often said that in non-Euclidean geometry space has a curvature, but this way of stating the matter is misleading, since it seems to imply a fourth dimension, which is not implied by these systems.

Einstein supposes that space is Euclidean where it is sufficiently remote from matter, but that the presence of matter causes it to become slightly non-Euclideanthe more matter there is in the neighborhood, the more space will depart from Euclid.

He returned the proof, saying that he could not accept any of it as elucidating the exact area of a circle, or as Euclidean.

As Mr. Dodgson's method involved a slight knowledge of trigonometry, and he had reason to suspect that Mr. Bwas entirely ignorant of that subject, he thought it worth while to put him to the test by asking him a few questions upon it, but the circle-squarer, with commendable prudence, declined to discuss anything not Euclidean.

The proof itself is borrowed, with slight alterations, from Cuthbertson's "Euclidean Geometry.

11 examples of  euclidean  in sentences