Examples of using Non-euclidean geometry in English and their translations into Korean
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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.
His work is cited by almost all later contributors to non-euclidean geometry.
The fact that non-euclidean geometry was at the time still a controversial topic now vanished.
Influenced by the work of Riemann and Lobachevsky,Clifford studied non-euclidean geometry.
He published this work on non-euclidean geometry, the first account of the subject to appear in print, in 1829.
However, in 1825 Bolyai's son János showed him his discovery of non-euclidean geometry.
Hoüel became interested in non-euclidean geometry once he had been made aware of the work of Bolyai and Lobachevsky.
From the early 1800s Gauss had an interest in the question of the possible existence of a non-Euclidean geometry.
This had the remarkable corollary that non-euclidean geometry was consistent if and only if euclidean geometry was consistent.
It was the primary source of geometric reasoning, theorems, andmethods at least until the advent of non-Euclidean geometry in the 19th century.
A history of non-Euclidean geometry: evolution of the concept of a geometric space.
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.
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.
Later, the two collaborated on the study of non-Euclidean geometry, as well as research into the history of mathematics, perhaps most notably collaborating on the publication of the complete works of Euler.
He compared Saccheri 's results with those of Borelli,Wallis, Clavius and the non-euclidean geometry of Lobachevsky and Bolyai.
The non-Euclidean geometry of mechanics and electromagnetics", Proceedings of the American Academy of Arts and Sciences 48:387- 507.
Cremona worried that euclidean geometry was being used to describe non-euclidean geometry and he saw a possible logical difficulty in this.
Cesàro later pointed out that in fact his geometry did not use the parallel axiom so constituted a study of non-euclidean geometry.
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.
Major breakthroughs came in biology, especially in Darwin's theory of evolution, as well as physics(electromagnetism),mathematics(non-Euclidean geometry, group theory) and chemistry(organic chemistry).
He then attempted his own proof, unaware that Lobachevsky had invented non-euclidean geometry 25 years before and, although it was published, it had been rejected by Ostrogradski when it had been submitted for publication in the St Petersburg Academy of Sciences.
Later in his career at Rome he taught a course on algebraic functions and abelian integrals in which he treated the theory of Riemann surfaces, and courses on non-euclidean geometry, differential geometry, interpolation and approximation, and probability theory.
At the moment when I put my foot on the step the idea came to me, without anything in my formerthoughts seeming to have paved the way for it, that the transformation that I had used to define the Fuchsian functions were identical with those of non-euclidean geometry.
The history of mathematics was another topic which attracted Janovskaja and she published work on Egyptian mathematics, Zeno of Elea 's paradoxes,Rolle 's criticisms of the calculus, Descartes 's geometry and Lobachevsky 's work on non-euclidean geometry.
Non-Euclidean geometries.