Crossword clues for euclidean
Douglas Harper's Etymology Dictionary
1650s, "of or pertaining to Euclid" (Greek Eukleides), c.300 B.C.E. geometer of Alexandria. Now often used in contrast to alternative models based on rejection of some of his axioms. His name in Greek means "renowned, glorious," from eu "well" (see eu-) + kleos "fame" (see Clio).
Wiktionary
a. (context rare English) (alternative spelling of Euclidean English)
WordNet
adj. relating to geometry as developed by Euclid; "Euclidian geometry" [syn: euclidian]
Wikipedia
Euclidean (or, less commonly, Euclidian) is an adjective derived from the name of Euclid, an ancient Greek mathematician. It may refer to:
Usage examples of "euclidean".
In this way he arrived at a space-structure which possesses neither the three-dimensionality nor the rectilinear character of so-called Euclidean space - a space-picture which, though mathematically consistent, is incomprehensible by the human mind.
Among these there is one which in all its characteristics is polarically opposite to the Euclidean system, and which is destined for this reason to become the space-system of levity.
Problems of the kind which had defeated Euclidean thinking became soluble directly human thinking was able to handle the concept of infinity.
By positing the point as the unit from which to start, and deriving our conception of the plane from the point, we constitute Euclidean space.
Both Euclidean and polar-Euclidean space are particular manifestations of it, their mutual relationship being one of metamorphosis in the Goethean sense.
In a space of this kind there is no Here and There, as in Euclidean space, for the consciousness is always and immediately at one with the whole space.
It was to establish Euclidean geometry and traditional arithmetic as sciences that not only have certitude, but also contain truths that are applicable to the world of our experience.
Kant enabled him to think that he had succeeded in establishing and explaining the certitude and incorrigibility of Euclidean geometry, simple arithmetic, and Newtonian physics.
Each face of the diamond was perfectly Euclidean, but the six sharp points were like infinitely concentrated repositories of curvature.
The size and shape of the surface are properties of the embedding, not of the manifold itself-so a sphere and an ellipsoid are two different embeddings of exactly the same manifold--but a particular embedding in Euclidean space can he used to supplement a manifold with the geometrical concepts needed to make it into a Riemannian space.
The Euclidean space of N dimension, is a natural generalization of the 2-dimensional Euclidean plane, where the square of the total distance between two points is the sum of the squares of their separation in each of the N dimensions.
The Euclidean spaces are simple examples of the more general idea of a Riemannian space.
If the Riemannian space is a surface embedded in Euclidean space, the geodesics are either straight lines in the external space, or they curve in a direction perpendicular to the surface.
It was a simple, geocentric, Copernican model, based on Euclidean geometry and Newtonian mechanics.
The devil replies by mocking that earthly Euclidean geometry of justice that Ivan had claimed to prefer to the non-Euclidean one.