Examples of using Non-euclidean geometry in English and their translations into Dutch
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constant cases being models of the known non-Euclidean geometries.
This century saw the development of the two forms of non-Euclidean geometry, where the parallel postulate of Euclidean geometry no longer holds.
As an alternative to string theory, Kleinert used the complete analogy between non-Euclidean geometry and the geometry of crystals with defects to construct a model of the universe called the World Crystal
PM as a base for non-euclidean geometries.
However, we only call a geometry non-euclidean if the concepts perpendicular and distance are defined
In 1977 he introduced the topic of non-Euclidean geometry on constructivist art.
Foundations of Euclidean and Non-Euclidean Geometry.
This crocheted fiber soft sculpture installation is based on non-Euclidean geometry.
Non-euclidean geometry diverse mathematical opinions about the course of space-time.
Non-Euclidean Geometry.
It took the simultaneous 19th century developments of non-Euclidean geometry and Abelian integrals in order to bring the old algebraic ideas back into the geometrical fold.
In non-Euclidean geometry, it is more common to talk about geodesics than(straight) lines.
The oldest of these was Non-Euclidean geometry, which considers spaces where Euclid's parallel postulate fails.
In the 19th century, Gauss's contributions to non-Euclidean geometry, or geometry on curved surfaces, laid the groundwork for the subsequent development of Riemannian geometry by Bernhard Riemann 1826-1866.
The theorems of absolute geometry hold in hyperbolic geometry, which is a non-Euclidean geometry, as well as in Euclidean geometry. .
In some sense, Fuchsian groups do for non-Euclidean geometry what crystallographic groups do for Euclidean geometry. .
Relation to other geometries==The theorems of absolute geometry hold in hyperbolic geometry, which is a non-Euclidean geometry, as well as in Euclidean geometry. .
Bolyai's son, János Bolyai, discovered non-Euclidean geometry in 1829; his work was published in 1832.
Indicating that he had known of the existence of a non-Euclidean geometry since he was 15 years of age this seems unlikely.
space considered in Euclidean and non-Euclidean geometry.