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Euclidean geometry and Nikolai Lobachevsky

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Euclidean geometry and Nikolai Lobachevsky

Euclidean geometry vs. Nikolai Lobachevsky

Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Nikolai Ivanovich Lobachevsky (a; –) was a Russian mathematician and geometer, known primarily for his work on hyperbolic geometry, otherwise known as Lobachevskian geometry and also his fundamental study on Dirichlet integrals known as Lobachevsky integral formula.

Similarities between Euclidean geometry and Nikolai Lobachevsky

Euclidean geometry and Nikolai Lobachevsky have 9 things in common (in Unionpedia): Axiom, Euclid, Geometry, János Bolyai, Nikolai Lobachevsky, Non-Euclidean geometry, Parallel postulate, Playfair's axiom, Surveying.

Axiom

An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.

Axiom and Euclidean geometry · Axiom and Nikolai Lobachevsky · See more »

Euclid

Euclid (Εὐκλείδης Eukleidēs; fl. 300 BC), sometimes given the name Euclid of Alexandria to distinguish him from Euclides of Megara, was a Greek mathematician, often referred to as the "founder of geometry" or the "father of geometry".

Euclid and Euclidean geometry · Euclid and Nikolai Lobachevsky · See more »

Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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János Bolyai

János Bolyai (15 December 1802 – 27 January 1860) or Johann Bolyai, was a Hungarian mathematician, one of the founders of non-Euclidean geometry — a geometry that differs from Euclidean geometry in its definition of parallel lines.

Euclidean geometry and János Bolyai · János Bolyai and Nikolai Lobachevsky · See more »

Nikolai Lobachevsky

Nikolai Ivanovich Lobachevsky (a; –) was a Russian mathematician and geometer, known primarily for his work on hyperbolic geometry, otherwise known as Lobachevskian geometry and also his fundamental study on Dirichlet integrals known as Lobachevsky integral formula.

Euclidean geometry and Nikolai Lobachevsky · Nikolai Lobachevsky and Nikolai Lobachevsky · See more »

Non-Euclidean geometry

In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry.

Euclidean geometry and Non-Euclidean geometry · Nikolai Lobachevsky and Non-Euclidean geometry · See more »

Parallel postulate

In geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's ''Elements'', is a distinctive axiom in Euclidean geometry.

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Playfair's axiom

In geometry, Playfair's axiom is an axiom that can be used instead of the fifth postulate of Euclid (the parallel postulate): In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point.

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Surveying

Surveying or land surveying is the technique, profession, and science of determining the terrestrial or three-dimensional positions of points and the distances and angles between them.

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The list above answers the following questions

Euclidean geometry and Nikolai Lobachevsky Comparison

Euclidean geometry has 153 relations, while Nikolai Lobachevsky has 84. As they have in common 9, the Jaccard index is 3.80% = 9 / (153 + 84).

References

This article shows the relationship between Euclidean geometry and Nikolai Lobachevsky. To access each article from which the information was extracted, please visit:

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