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Euclidean geometry - Wikipedia
Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions from these.Although many of Euclid's results had been stated by earlier mathematicians, Euclid was the first to show ...

Euclidean geometry | Britannica.com
Euclidean geometry: Euclidean geometry, the study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Euclid (c. 300 bce). In its rough outline, Euclidean geometry is the plane and solid geometry commonly taught in secondary schools. Indeed, until the second half of the

Non-Euclidean geometry - Wikipedia
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry.As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises when either the metric requirement is relaxed, or the parallel postulate is replaced with an alternative one.

Non-Euclidean geometry | mathematics | Britannica.com
Non-Euclidean geometry: Non-Euclidean geometry, literally any geometry that is not the same as Euclidean geometry. Although the term is frequently used to refer only to hyperbolic geometry, common usage includes those few geometries (hyperbolic and spherical) that differ from but are very close to Euclidean geometry (see

Non-Euclidean Geometry -- from Wolfram MathWorld
Non-Euclidean Geometry. In three dimensions, there are three classes of constant curvature geometries.All are based on the first four of Euclid's postulates, but each uses its own version of the parallel postulate.The "flat" geometry of everyday intuition is called Euclidean geometry (or parabolic geometry), and the non-Euclidean geometries are called hyperbolic geometry (or Lobachevsky-Bolyai ...

Euclidean Geometry | Mindset Learn
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Geometry - BrainPOP
Tim and Moby go to any lengths to get you in line with your compass and protractor!

Non-Euclidean Geometry: Introduction - malinc.se
you get a hyperbolic geometry.. Distances, angles, and lines Euclidean, elliptical, and hyperbolic triangle. The theorems in the Elements of Euclid are built on a number of postulates and a number of definitions.

19th Century Mathematics - The Story of Mathematics
The 19th Century saw an unprecedented increase in the breadth and complexity of mathematical concepts. Both France and Germany were caught up in the age of revolution which swept Europe in the late 18th Century, but the two countries treated mathematics quite differently.

Geometry foundations | High school geometry | Math | Khan ...
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