Euclidean geometry

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Euclid′ean geom′etry

geometry based upon the postulates of Euclid, esp. the postulate that only one line may be drawn through a given point parallel to a given line.
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ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.Euclidean geometry - (mathematics) geometry based on Euclid's axiomsEuclidean geometry - (mathematics) geometry based on Euclid's axioms
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
geometry - the pure mathematics of points and lines and curves and surfaces
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euklidovská geometrie
euklidska geometrija
References in periodicals archive ?
Information geometry indicates that the use of a Euclidian geometry technique is not absolutely correct.
The essay provides insight into Fisher's reading of Kant's notion of intuitve (transcendental) knowledge, and Fisher's awareness of the growing challenge to the role of Euclidian geometry within Kant's space of intuition, posed by the advent of pseudo-spherical geometry.
Hyperbolic geometry does indeed rest on an axiom not in Euclid's system, but it has been shown by Poincare and others that if Euclidian geometry is true and consistent, so is hyperbolic geometry.
Among their missions was a strong emphasis on education; and thanks to the efforts of Christopher Clavius, their mathematical teachings were firmly established on the principles of Euclidian geometry.
He stated that fractals (through fractal geometry) are more useful to describe natural shapes than the classic Euclidian geometry describes.