Examples of using Non-euclidean in English and their translations into Danish
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He corresponded with Tilly on non-euclidean geometry.
In non-euclidean spaces he extended results due to Appell and Mittag-Leffler.
The foundations of geometry and non-euclidean geometry.
He also wrote on non-euclidean geometry and Cayley commented on one of his theorems saying.
It is possible to construct a Klein bottle in non-Euclidean space.
His work on non-euclidean geometries was used by Einstein in his general theory of relativity.
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.
Engel collaborated with Stäckel in studying the history of non-euclidean geometry.
For example he even manages to discuss non-euclidean geometry and Lobachevsky 's contributions without even mentioning Bolyai.
However, in 1825 Bolyai's son János showed him his discovery of non-euclidean geometry.
Cayley also suggested that euclidean and non-euclidean geometry are special types of geometry.
Influenced by the work of Riemann and Lobachevsky,Clifford studied non-euclidean geometry.
Perhaps most remarkable of all was his text on non-euclidean geometry which he published at the age of 82.
Bukreev also worked on geometry,in particular he was interested in projective and non-Euclidean geometry.
This had the remarkable corollary that non-euclidean geometry was consistent if and only if euclidean geometry was consistent.
It was not until the 19th century that this postulate was dropped and non-euclidean geometries were studied.
His most important book on non-Euclidean geometry was Non-Euclidean Planimetry in Analytic Terms which he published in 1947.
He also studied birational contact transformations and non-euclidean and non-archimedean geometries.
At a meeting of the German Astronomical Society in Heidelberg in 1900 Schwarzschild discussed the possibility that space was non-Euclidean.
Poincaré believed that one could choose either euclidean or non-euclidean geometry as the geometry of physical space.
By 1907 Minkowski realised that the work of Lorentz andEinstein could be best understood in a non-euclidean space.
He published two papers On the So-called Non-Euclidean Geometry in which he showed that it was possible to consider euclidean geometry and non-euclidean geometry as special cases a projective surface with a specific conic section adjoined.
During McClintock's presidential term,Klein visited the Society and talked on non-euclidean spherical trigonometry.
Killing introduced them independently with quite a different purpose since his interest was in non-euclidean geometry.
In particular he made contributions of major importance in the theory of polytopes, non-euclidean geometry, group theory and combinatorics.
In this way the Erlanger Programm defined geometry so thatit included both Euclidean geometry and non-Euclidean geometry.
These included several different geometry courses, including projective geometry,conformal geometry, non-Euclidean geometry, differential geometry, and synthetic geometry.
By assuming that the parallel postulate was false,he managed to deduce a large number of non-euclidean results.
In trying to prove the parallels postulate he accidentally proved properties of figures in non-euclidean geometries.