Vertaling en analyse van woorden door kunstmatige intelligentie ChatGPT
Op deze pagina kunt u een gedetailleerde analyse krijgen van een woord of zin, geproduceerd met behulp van de beste kunstmatige intelligentietechnologie tot nu toe:
- hoe het woord wordt gebruikt
- gebruiksfrequentie
- het wordt vaker gebruikt in mondelinge of schriftelijke toespraken
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- etymologie
non-Euclidean geometry - vertaling naar arabisch
.jpg?width=200 "On a sphere, the sum of the angles of a triangle is not equal to 180°. The surface of a sphere is not a Euclidean space, but locally the laws of the Euclidean geometry are good approximations. In a small triangle on the face of the earth, the sum of the angles is very nearly 180°.")
![A disproof of Euclidean geometry as a description of physical space. In a 1919 test of the general theory of relativity, stars (marked with short horizontal lines) were photographed during a solar [[eclipse]]. The rays of starlight were bent by the Sun's gravity on their way to Earth. This is interpreted as evidence in favor of Einstein's prediction that gravity would cause deviations from Euclidean geometry.](https://commons.wikimedia.org/wiki/Special:FilePath/1919 eclipse negative.jpg?width=200 "A disproof of Euclidean geometry as a description of physical space. In a 1919 test of the general theory of relativity, stars (marked with short horizontal lines) were photographed during a solar [[eclipse]]. The rays of starlight were bent by the Sun's gravity on their way to Earth. This is interpreted as evidence in favor of Einstein's prediction that gravity would cause deviations from Euclidean geometry.")
![invariant]]s and studying them is the essence of geometry.](https://commons.wikimedia.org/wiki/Special:FilePath/Congruentie.svg?width=200 "invariant]]s and studying them is the essence of geometry.")
![René Descartes. Portrait after [[Frans Hals]], 1648.](https://commons.wikimedia.org/wiki/Special:FilePath/Frans Hals - Portret van René Descartes.jpg?width=200 "René Descartes. Portrait after [[Frans Hals]], 1648.")
![Squaring the circle: the areas of this square and this circle are equal. In 1882, it was proven that this figure cannot be constructed in a finite number of steps with an idealized [[compass and straightedge]].](https://commons.wikimedia.org/wiki/Special:FilePath/Squaring the circle.svg?width=200 "Squaring the circle: the areas of this square and this circle are equal. In 1882, it was proven that this figure cannot be constructed in a finite number of steps with an idealized [[compass and straightedge]].")
![The ''[[pons asinorum]]'' or ''bridge of asses theorem'' states that in an isosceles triangle, α = β and γ = δ.](https://commons.wikimedia.org/wiki/Special:FilePath/pons_asinorum_dzmanto.png?width=200 "The ''[[pons asinorum]]'' or ''bridge of asses theorem'' states that in an isosceles triangle, α = β and γ = δ.")
![The ''[[Pythagorean theorem]]'' states that the sum of the areas of the two squares on the legs (''a'' and ''b'') of a right triangle equals the area of the square on the hypotenuse (''c'').](https://commons.wikimedia.org/wiki/Special:FilePath/Pythagorean.svg?width=200 "The ''[[Pythagorean theorem]]'' states that the sum of the areas of the two squares on the legs (''a'' and ''b'') of a right triangle equals the area of the square on the hypotenuse (''c'').")
![''[[Thales' theorem]]'' states that if AC is a diameter, then the angle at B is a right angle.](https://commons.wikimedia.org/wiki/Special:FilePath/Thales' Theorem Simple.svg?width=200 "''[[Thales' theorem]]'' states that if AC is a diameter, then the angle at B is a right angle.")
![level]]](https://commons.wikimedia.org/wiki/Special:FilePath/us land survey officer.jpg?width=200 "level]]")
![orange]]s.](https://commons.wikimedia.org/wiki/Special:FilePath/Ambersweet oranges.jpg?width=200 "orange]]s.")
Definitie
Wikipedia
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises by either replacing the parallel postulate with an alternative, or relaxing the metric requirement. In the former case, one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries. When the metric requirement is relaxed, then there are affine planes associated with the planar algebras, which give rise to kinematic geometries that have also been called non-Euclidean geometry.
