영어에서 Non-euclidean 을 사용하는 예와 한국어로 번역
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Non-Euclidean geometry.
He corresponded with Tilly on non-euclidean geometry.
Non-Euclidean geometry.
The Elements of Non-Euclidean Geometry, Oxford.
Non-Euclidean geometries.
His work is cited by almost all later contributors to non-euclidean geometry.
Non-Euclidean geometries.
Influenced by the work of Riemann and Lobachevsky,Clifford studied non-euclidean geometry.
The fact that non-euclidean geometry was at the time still a controversial topic now vanished.
However, in 1825 Bolyai's son János showed him his discovery of non-euclidean geometry.
His work on non-euclidean geometries was used by Einstein in his general theory of relativity.
From the early 1800s Gauss had an interest in the question of the possible existence of a non-Euclidean geometry.
Hoüel became interested in non-euclidean geometry once he had been made aware of the work of Bolyai and Lobachevsky.
Martin, G.E.: The Foundations of Geometry and the Non-Euclidean Plane.
A history of non-Euclidean geometry: evolution of the concept of a geometric space.
By 1907 Minkowski realised that the work of Lorentz and Einstein could be best understood in a non-euclidean space.
Today, however, many other self-consistent non-Euclidean geometries are known, the first ones having been discovered in the early 19th century.
One of his early ideas was a paper of 1872 which looked at intuitive ways to prove the consistency of non-Euclidean geometries.
At this stage he did not know of the published work on non-euclidean geometry but he clearly was working his way towards the idea. He wrote.
Cesàro later pointed out that in fact his geometry did not use the parallel axiom so constituted a study of non-euclidean geometry.
Rosenfeld, B. A. A History of Non-Euclidean Geometry: Evolution of the Concept of a Geometric Space.
In particular he made contributions of major importance in the theory of polytopes, non-euclidean geometry, group theory and combinatorics.
The clearest reference in Gauss 's letters to his work on non-euclidean geometry, which shows the depth of his understanding, occurs in a letter he wrote to Taurinus on 8 November 1824 when he wrote.
It was the primary source of geometric reasoning, theorems, andmethods at least until the advent of non-Euclidean geometry in the 19th century.
His main interests were the foundations of geometry and he introduced non-euclidean geometry into the United States, both through his own research and writings as well as by his many important translations.
By 1824, however, there is evidence to suggest that he had developed most of what would appear in his treatise as a complete system of non-Euclidean geometry.
There are other claims made about Lobachevsky and the discovery of non-euclidean geometry which have been recently refuted.
At Göttingen he also attended lecture courses by Klein on the potential function, on partial differential equations of mathematical physics and on non-euclidean geometry.
Cremona worried that euclidean geometry was being used to describe non-euclidean geometry and he saw a possible logical difficulty in this.
In the second half of the 19th century, scientists and philosophers were involved in a heated discussion on the principles of geometry and on the validity of so-called non-Euclidean geometry….