Examples of 'non-euclidean geometry' in a sentence

Meaning of "non-euclidean geometry"

non-euclidean geometry - Non-Euclidean geometry refers to geometrical systems that do not satisfy all the principles of Euclidean geometry, particularly the parallel postulate. It is a branch of mathematics that explores alternatives to Euclidean geometry
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  • Any system of geometry not based on the set of axioms of Euclidean geometry, which is based on the three-dimensional space of common experience.

How to use "non-euclidean geometry" in a sentence

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non-euclidean geometry
Curved geometries are in the domain of Non-Euclidean geometry.
The non-euclidean geometry on the surface of a sphere is called.
He published papers on non-Euclidean geometry.
Effects of non-Euclidean geometry were used to convey a psychophysical sense of fluidity of consciousness.
This was the consequence of the discovery of non-Euclidean geometry.
Yaglom extensively develops his non-Euclidean geometry including the theory of cycles pp.
This appendix contains the fundamental results of non-Euclidean geometry.
In their non-Euclidean geometry the part is always greater than the whole.
In fact, most mathematicians regarded non-Euclidean geometry as a logical curiosity.
A geometry where the parallel postulate does not hold is known as a non-Euclidean geometry.
He compiled a bibliography on non-Euclidean geometry and also wrote a leading textbook in that field.
Much of his career is spent working on physics and non-euclidean geometry.
Non-Euclidean geometry often makes appearances in works of science fiction and fantasy.
The crew struggle to comprehend the non-Euclidean geometry of the city.
His study of non-Euclidean geometry helped Einstein develop his theory of relativity.

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This work aims to contribute in including teaching of non-euclidean geometry in high school.
With this, non-Euclidean geometry was established on an equal mathematical footing with Euclidean geometry.
He worked on the theories of linear differential equations, probability and non-Euclidean geometry.
He was known for his books on non-Euclidean geometry and Algebraic topology.
There were discussions at the time of the fourth dimension and of non-Euclidean geometry.
These structures introduced the field of non-Euclidean geometry where Euclid 's parallel axiom is denied.
Duchamp was fascinated with the idea of the fourth dimension as well as non-Euclidean geometry.
Non-Euclidean Geometry becoming increasingly important in its roll in modern science and technology.
This would culminate with the development of non-Euclidean geometry in the nineteenth century.
A conventionalist would say that Einstein merely found it more convenient to use non-Euclidean geometry.
Tilly on non-euclidean geometry In Halsted.
By using alternative versions of the fifth postulate we obtain so-called Non-Euclidean Geometry.
Both Non-Euclidean geometry and four-dimensional space are discussed.
Thus the program 's definition of geometry encompassed both Euclidean and non-Euclidean geometry.
For planar algebra, non-Euclidean geometry arises in the other cases.
He gave a geometrical Theory of Parallels outlining a version of non-Euclidean geometry.
That 's why non-Euclidean geometry comes much more naturally to them.
Metzinger and Gleizes wrote with reference to non-Euclidean geometry in Du " Cubisme.
Concepts like non-Euclidean geometry were once considered ill-behaved, but are now common objects of study.
Nikolai Ivanovich Lobachevsky publishes his work on hyperbolic non-Euclidean geometry.
Least until the advent of non-Euclidean geometry in the 19th century.
R'lyeh is characterized by an architecture based on non-Euclidean geometry.
Classical perspective and non-Euclidean geometry were not, after all, incompatible with one another.
Foundations of Euclidean and Non-Euclidean Geometry.
The elements of non-Euclidean geometry Unabr. and unaltered republ. ed.
Euclidean space is better-behaved than non-Euclidean geometry.
Thus, non-Euclidean geometry did not contradict Euclidean geometry, but integrated it into a larger framework.
Hungarian mathematician, one of the founders of non-Euclidean geometry.
The 18th-century failure to develop a non-Euclidean geometry was rooted in deeply held philosophical beliefs.
Cities, forms, volumes or spaces correspond to a non-Euclidean geometry.
Non-Euclidean geometry that rejects Euclid 's fifth postulate ( the parallel postulate ) and modifies his second postulate.
In this they were successful, thus creating the first non-Euclidean geometry.
Non-Euclidean geometry considers spaces where Euclid 's parallel postulate fails.
Discovery of the latter in the 19th century was branded as the non-Euclidean geometry.
Why Non-Euclidean Geometry is a Cheat.

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