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 ·
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 ·
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.
Euclidean geometry and Geometry · Geometry and Nikolai Lobachevsky ·
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 ·
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 ·
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 ·
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.
Euclidean geometry and Parallel postulate · Nikolai Lobachevsky and Parallel postulate ·
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.
Euclidean geometry and Playfair's axiom · Nikolai Lobachevsky and Playfair's axiom ·
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.
Euclidean geometry and Surveying · Nikolai Lobachevsky and Surveying ·
The list above answers the following questions
- What Euclidean geometry and Nikolai Lobachevsky have in common
- What are the similarities between Euclidean geometry and Nikolai Lobachevsky
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
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