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Euclidean

   Also found in: Wikipedia 0.01 sec.
Eu·clid·e·an also Eu·clid·i·an  (y-kld-n)
adj.
Of or relating to Euclid's geometric principles.

Euclidean, Euclidian [juːˈklɪdɪən]
adj
(Mathematics) of or relating to Euclid, the 3rd century bc Greek mathematician, or his system of geometry

Euclidean  (y-kld-n)
Relating to geometry of plane figures based on the five postulates (axioms) of Euclid, involving the derivation of theorems from those postulates. The five postulates are: 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment, a circle can be drawn having the line segment as radius and an endpoint as center. 4. All right angles are congruent. 5. (Also called the parallel postulate.) If two lines are drawn that intersect a third in such a way that the sum of inner angles on one side is less than the sum of two right triangles, then the two lines will intersect each other on that side if the lines are extended far enough. Compare non-Euclidean.
ThesaurusLegend:  Synonyms Related Words Antonyms
Adj.1.euclidean - relating to geometry as developed by Euclid; "Euclidian geometry"
Translations
Euclidean [juːˈklɪdɪən] ADJeuclidiano
Euclidean
adjeuklidisch
Euclidean [juːˈklɪdɪən] adjeuclideo/a
Euclidean [juːˈklɪdɪən] adjeuclideo/a


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Philosophical systems begin by dogmatically laying down supposedly irrefutable premises in imitation of mathematical physics and Euclidean geometry, and are supposed to be more intellectually impressive thereby.
We accounted for spatial autocorrelation in the general model by applying an autologistic approach (11,12), in which an autologistic term was added as a covariate to the logistic model (the autologistic term averages the probability of HPAI presence among a set of neighbors, defined by the limit of autocorrelation and weighted by the inverse of the Euclidean distance).
Here, the brain, as Gilles Deleuze put it in a different context, "has lost its Euclidean coordinates and now emits other signs"--signs that are hardly compatible with the traditional conditions of what we call painting, the medium of flatness and delimitation.
 
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