Non Euclidean Geometry Meme

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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 table. In non euclidean geometry the concept corresponding to a line is a curve called a geodesic. Bolyai lobachevsky and riemann. Carl friedrich gauss was apparently the first to arrive at the conclusion that no contradiction may be obtained this way.

Through a point not on a line either there is none b or more than 1 c line parallel to the given one. Spherical geometry which is sort of plane geometry warped onto the surface of a sphere is one example of a non euclidean geometry. Updated daily for more funny memes check our homepage. In mathematics non euclidean geometry consists of two geometries based on axioms closely related to those specifying euclidean geometry.

Model of elliptic geometry two great circles that are not the same must intersect. For example suppose you want to measure the shortest distance between points on the. Non euclidean geometry literally any geometry that is not the same as euclidean geometry. Portal custom maps can really f ck with your mind using non euclidean geometry check source if interested featured 3 years ago.

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. In the early 19th century people started to wonder if the fifth postulate couldn t be proven at all meaning that it could be right but it could also be wrong. A non euclidean geometry is a rethinking and redescription of the properties of things like points lines and other shapes in a non flat world. 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.

For hundreds of years euclid s geometry disappeared with the fall of the roman empire. Hence there are no parallel lines on the surface of a sphere. Although euclidean geometry is useful in many fields in some cases non euclidean geometry may be more useful. In non euclidean geometries the fifth postulate is replaced with one of its negations.

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