Nikolai Lobachevsky

Nikolai Lobachevsky – The Copernicus of Geometry

Nikolai Lobachevsky – The Copernicus of Geometry

On February 24, 1856, Russian mathematician and geometer Nikolai Ivanovich Lobachevsky passed away. He is known primarily for his work on hyperbolic geometry. Lobachevsky’s main achievement is the development (independently from János Bolyai) of a non-Euclidean geometry, also referred to as Lobachevskian geometry. Nikolai Lobachevsky was born as one of three children either in or near the city of Nizhny Novgorod in Russia in 1792 to parents of Polish origin. His father…
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Eugenio Beltrami and Non-Euclidian Geometry

Eugenio Beltrami and Non-Euclidian Geometry

Eugenio Beltrami (1835–1900) On November 16, 1835, Italian mathematician Eugenio Beltrami was born. He is most notable for his work concerning differential geometry and mathematical physics. His work was noted especially for clarity of exposition. He was the first to prove consistency of non-Euclidean geometry by modeling it on a surface of constant curvature, the pseudosphere. Eugenio Beltrami was born in Cremona in Lombardy, then a part of the Austrian Empire, and now part of Italy. The son…
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