Examples of using Non-euclidean in English and their translations into Tagalog
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It is possible to construct a Klein bottle in non-Euclidean space.
In non-euclidean spaces he extended results due to Appell and Mittag-Leffler.
Engel collaborated with Stäckel in studying the history of non-euclidean geometry.
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.
It was not until the 19th century that this postulate was dropped and non-euclidean geometries were studied.
He published this work on non-euclidean geometry, the first account of the subject to appear in print, in 1829.
Influenced by the work of Riemann and Lobachevsky,Clifford studied non-euclidean geometry.
Cayley also suggested that euclidean and non-euclidean geometry are special types of geometry.
In trying to prove the parallels postulate he accidentally proved properties of figures in non-euclidean geometries.
Perhaps most remarkable of all was his text on non-euclidean geometry which he published at the age of 82.
Killing introduced them independently with quite a different purpose since his interest was in non-euclidean geometry.
This had the remarkable corollary that non-euclidean geometry was consistent if and only if euclidean geometry was consistent.
During McClintock's presidential term,Klein visited the Society and talked on non-euclidean spherical trigonometry.
Hoüel became interested in non-euclidean geometry once he had been made aware of the work of Bolyai and Lobachevsky.
He compared Saccheri 's results with those of Borelli, Wallis,Clavius and the non-euclidean geometry of Lobachevsky and Bolyai.
Yet, the mathematical world of non-Euclidean geometry is pure and perfect, and so only an approximation to our messy world.
The most important of his work is in developing the algebra of matrices,work in non-euclidean geometry and n-dimensional geometry.
Indicating that he had known of the existence of a non-Euclidean geometry since he was 15 years of age(this seems unlikely).
In particular he worked on the theory of linear differential equations,the theory of probability(see) and non-euclidean geometry.
In 1832(the year Bolyai published his work on non-euclidean geometry) Legendre confirmed his absolute belief in Euclidean space when he wrote.
One of his early ideas was a paper of 1872 which looked at intuitive ways to prove the consistency of non-Euclidean geometries.
Beltrami in this 1868 paper did not set out to prove the consistency of non-Euclidean geometry or the independence of the Euclidean parallel postulate.
Also Laptev in has examined the correspondence between Bartels and Gauss andshown that Bartels did not know about Gauss 's results in 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.
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.
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.
In the second half of the 19th century, scientists and philosophers were involved in a heated discussion on the principles of geometry andon the validity of so-called non-Euclidean geometry.
Helmholtz had begun to investigate the properties of non-Euclidean space around the time his interests were turning towards physics in 1867. Bernardo in writes.