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Russian mathematician (1792–1856)
Nikolai Ivanovich Lobachevsky (/loʊbəˈtʃɛfski/; Russian: Никола́й Ива́нович Лобаче́вский, IPA: [nʲɪkɐˈlaj ɪˈvanəvʲɪtɕ ləbɐˈtɕefskʲɪj] ; 1 December [O
Nikolai_Lobachevsky
Type of non-Euclidean geometry
geometry, named after one of its discoverers, the Russian geometer Nikolai Lobachevsky. Hyperbolic geometry is more closely related to Euclidean geometry
Hyperbolic_geometry
Russian mathematics award
State University, are mathematical awards in honor of Nikolai Ivanovich Lobachevsky. The Lobachevsky Prize was established in 1896 by the Kazan Physical
Lobachevsky_Prize
German mathematician (1769–1836)
tutor of Carl Friedrich Gauss in Braunschweig and the educator of Nikolai Lobachevsky at the University of Kazan in Russia. Bartels was born in Braunschweig
Johann Christian Martin Bartels
Johann_Christian_Martin_Bartels
Topics referred to by the same term
Nikolai Lobachevsky (1792–1856) was a Russian mathematician. Lobachevsky (Лобачевский; also Lobachevskij and Lobachevskiy; feminine: Lobachevskaya), a
Lobachevsky_(disambiguation)
Public university in Kazan, Russia
education institution in Russia. Founder of non-Euclidean geometry Nikolai Ivanovich Lobachevsky served there as the rector from 1827 until 1846. In 1925, the
Kazan_Federal_University
1951 song by Tom Lehrer
to the mathematician Nikolai Ivanovich Lobachevsky. According to Lehrer, the song is "not intended as a slur on [Lobachevsky's] character" and the name
Lobachevsky_(song)
Topics referred to by the same term
(born 1986), Russian ice hockey winger Nikolai Lobachevsky (1792–1856), Russian mathematician and geometer Nikolai Lukashenko (born 2004), third son of
Nikolai
Spline function
The concept of B-splines traces back to the 19th century, when Nikolai Lobachevsky explored similar ideas at Kazan University in Russia, though the
B-spline
Russian mathematician (1796–1866)
Nikolai Dmitrievich Brashman (Russian: Никола́й Дми́триевич Брáшман; German: Nikolaus Braschmann; June 14, 1796 – 25 May [O.S. 13 May] 1866) was a Russian
Nikolai_Brashman
Russian University Department
segregated from the Faculty of Mechanics and Mathematics. In 2011 Nikolai Lobachevsky Institute of Mathematics and Mechanics was established in KFU by
N.I. Lobachevsky Institute of Mathematics and Mechanics
N.I._Lobachevsky_Institute_of_Mathematics_and_Mechanics
the organizers of the Decembrist movement Nikolai Lobachevsky (1792–1856), mathematician and geometer Nikolai Martynov (1815–1875), army officer who fatally
List of people from Nizhny Novgorod
List_of_people_from_Nizhny_Novgorod
1941 mathematics book
Pierre-Simon Laplace, Carl Friedrich Gauss, Augustin Louis Cauchy, Nikolai Lobachevsky, Niels Henrik Abel, Carl Gustav Jacobi, Évariste Galois, Karl Weierstrass
Álgebra_de_Baldor
German polymath and scholar (1777–1855)
non-Euclidean geometry in the history of mathematics were authored by Nikolai Lobachevsky in 1829 and János Bolyai in 1832. In the following years, Gauss wrote
Carl_Friedrich_Gauss
Category of coordinate systems
curves.[example needed] Lobachevsky coordinates are named after Nikolai Lobachevsky, one of the discoverers of hyperbolic geometry. Construct a Cartesian-like
Coordinate systems for the hyperbolic plane
Coordinate_systems_for_the_hyperbolic_plane
theory Nikolai Lobachevsky, a Copernicus of Geometry who created the first non-Euclidean geometry (Lobachevskian or hyperbolic geometry) Nikolai Lusin
List_of_Russian_people
Non-Euclidean geometry
on the hyperboloid. Hyperbolic space, developed independently by Nikolai Lobachevsky, János Bolyai and Carl Friedrich Gauss, is a geometric space analogous
Hyperbolic_space
Yuri Linnik, developed Linnik's theorem in analytic number theory Nikolai Lobachevsky, a Copernicus of Geometry who created the first non-Euclidean geometry
List of Russian mathematicians
List_of_Russian_mathematicians
(1789–1857) August Ferdinand Möbius (1790–1868) – Euclidean geometry Nikolai Ivanovich Lobachevsky (1792–1856) – hyperbolic geometry, a non-Euclidean geometry
List_of_geometers
Mathematical treatise by Euclid
four, but they never succeeded. Eventually in 1829, mathematician Nikolai Lobachevsky published a description of acute geometry (or hyperbolic geometry)
Euclid's_Elements
Russian mathematician (1910–1982)
1946. Aleksei Pogorelov was one of his students there. He received the Lobachevsky Prize in 1951 and Lenin Prize in 1966. He was an invited plenary speaker
Nikolai_Yefimov
About mathematical functions
defined only for a restricted range of the independent variable. Nikolai Lobachevsky and Peter Gustav Lejeune Dirichlet are traditionally credited with
History of the function concept
History_of_the_function_concept
Trigonometric result for hyperbolic triangles
{-1}}\right)\sin \left(\gamma {\sqrt {-1}}\right)}}} which was also shown by Nikolai Lobachevsky (1830): cos A sin b sin c − cos b cos c = cos a ; [ a
Hyperbolic_law_of_cosines
Mathematical function defined piecewise by polynomials
Farin, B-splines were explored as early as the nineteenth century by Nikolai Lobachevsky at Kazan University in Russia. Before computers were used, numerical
Spline_(mathematics)
Italian mathematician (1835–1900)
and interpretations of non-Euclidean geometry of János Bolyai and Nikolai Lobachevsky. In his "Essay on an interpretation of non-Euclidean geometry", Beltrami
Eugenio_Beltrami
First-level administrative division of Russia
spring sowing works." Major libraries include Kazan State University Nikolai Lobachevsky Scientific Library and the National Library of the Republic of Tatarstan
Tatarstan
Angle in certain right triangles in the hyperbolic plane
publication "Geometrische Untersuchungen zur Theory der Parallellinien" by Nikolai Lobachevsky. This publication became widely known in English after the Texas
Angle_of_parallelism
theory Nikolai Lobachevsky, a Copernicus of Geometry who created the first non-Euclidean geometry (Lobachevskian or hyperbolic geometry) Nikolai Lusin
List_of_Russian_scientists
University in Kazan, Russia
The project was led by M.P. Korinfskiyi with the participation of Nikolai Lobachevsky, the rector of Kazan Emperor's University. [citation needed] In 1840
Kazan State Medical University
Kazan_State_Medical_University
Relationship between fields of study
Non-Euclidean geometry, as formulated by Carl Friedrich Gauss, János Bolyai, Nikolai Lobachevsky, and Bernhard Riemann, freed physics from the limitation of a single
Relationship between mathematics and physics
Relationship_between_mathematics_and_physics
Subfield of mathematics
addition to the independence of the parallel postulate, established by Nikolai Lobachevsky in 1826, mathematicians discovered that certain theorems taken for
Mathematical_logic
produce ice, and gave the first modern account of capillary action. Nikolai Lobachevsky (1792–1856): Russian mathematician. Known for his works on hyperbolic
List of atheists in science and technology
List_of_atheists_in_science_and_technology
Branch of mathematics
and Bernhard Riemann, and also in the important contributions of Nikolai Lobachevsky on hyperbolic geometry and non-Euclidean geometry and throughout
Differential_geometry
Basic framework of mathematics
that the parallel postulate cannot be proved. This was proved by Nikolai Lobachevsky in 1826, János Bolyai (1802–1860) in 1832 and Carl Friedrich Gauss
Foundations_of_mathematics
skater Joseph Johann von Littrow (1781–1840), Austrian astronomer Nikolai Lobachevsky (1792–1856), Russian mathematician and geometer Ğabdulla Tuqay (1886–1913)
List_of_people_from_Kazan
School in Kazan, Russia
of Kazan, Tatarstan, Russia. It is notable for its alumnus, Nikolai Ivanovich Lobachevsky, who graduated from the school in 1807. Other notable alumni
Kazan_Gymnasium
Ukrainian-Russian mathematician
especially by Nikolai Yegorovich Zhukovsky (1847–1921). Ostrogradsky did not appreciate the work on non-Euclidean geometry of Nikolai Lobachevsky from 1823
Mikhail_Ostrogradsky
Capital city of Tatarstan, Russia
special pride, including: the creation of non-Euclidean geometry (Nikolai Lobachevsky), the theory about the structure of organic compounds (Aleksandr
Kazan
Euclidean geometry no longer holds. The Russian mathematician Nikolai Ivanovich Lobachevsky and his rival, the Hungarian mathematician János Bolyai, independently
19th_century_in_science
Day of the year
Bowdler, English physician and philanthropist (born 1754) 1856 – Nikolai Lobachevsky, Russian mathematician and academic (born 1792) 1876 – Joseph Jenkins
February_24
1976 Science Fiction Novel by Roger Zelazny
Zelazny writes a nonsense poem that uses the non-Euclidean geometry of Nikolai Lobachevsky and Bernhard Riemann to extol the curved features of the female form
Doorways_in_the_Sand
Mathematical set with some added structure
(180 degrees). Non-Euclidean hyperbolic geometry, introduced by Nikolai Lobachevsky in 1829 and János Bolyai in 1832 (and Carl Friedrich Gauss in 1816
Space_(mathematics)
Borisovich (1820–1823) Fuchs Karl (Karl Fedorovich) (1823–1827) Nikolai Lobachevsky (1827–1846) Ivan Mikhailovich Simonov (1846–1855) Kowalewski Osip
List of Kazan State University rectors
List_of_Kazan_State_University_rectors
(Joseph-Louis Lagrange) 1552 Bessel (Friedrich Bessel) 1858 Lobachevskij (Nikolai Lobachevsky) 1859 Kovalevskaya (Sofia Kovalevskaya) 1888 Zu Chong-Zhi (Zu Chongzhi)
List of minor planets named after people
List_of_minor_planets_named_after_people
Type of unbounded quadratic surface-shaped building or work
By applying his analytical skills to the doubly curved surfaces Nikolai Lobachevsky named "hyperbolic", Shukhov derived a family of equations that led
Hyperboloid_structure
Mathematical term; concerning axioms used to derive theorems
mix of theory and intuition." 1829 Nikolai Lobachevsky О началах геометрии ("On the Origin of Geometry") Lobachevsky's paper is now recognised as the first
Axiomatic_system
Book by Charles Hinton in 1888
influenced by the works of Immanuel Kant, Carl Friedrich Gauss and Nikolai Lobachevsky. It influenced the work of P.D. Ouspensky, particularly his book
A_New_Era_of_Thought
Romanian-born Canadian mathematician
n=2} , this problem was independently proposed by János Bolyai and Nikolai Lobachevsky, the founders of hyperbolic geometry. But though many papers were
Florin_Diacu
Day of the year
sculptor, founded Madame Tussauds Wax Museum (died 1850) 1792 – Nikolai Lobachevsky, Russian mathematician and geometer (died 1856) 1800 – Mihály Vörösmarty
December_1
Lithuanian Roman Catholic priest and activist
in Lithuanian in 1922. In this work, building upon the works of Nikolai Lobachevsky, he described a set of trigonometric functions that were not based
Adomas_Jakštas
Russian biologist
Doctor of Biological Sciences, Distinguished Professor at the N. I. Lobachevsky State University of Nizhny Novgorod (UNN), Chairman (since 1997) of the
Vasily_Krylov
District in Republic of Tatarstan, Russia
companies. The opening of the second industrial park named after Nikolai Lobachevsky with an area of 30 thousand square meters was postponed from the
Verkhneuslonsky_District
Ivanov in 1960 but was not realized at that time. In mathematics Nikolai Lobachevsky, a Copernicus of geometry, founded the non-Euclidean geometry playing
Science and technology in Russia
Science_and_technology_in_Russia
Rare-type main-belt asteroid
Crimean peninsula. The asteroid was named after Russian mathematician Nikolai Lobachevsky. Lobachevskij had already been photographed in precovery images dating
1858_Lobachevskij
(1886–1970), Ukrainian astronomer MPC · 1857 1858 Lobachevskij 1972 QL Nikolai Lobachevsky (1792–1856), Russian mathematician MPC · 1858 1859 Kovalevskaya 1972
Meanings of minor-planet names: 1001–2000
Meanings_of_minor-planet_names:_1001–2000
Russian geometer (1869–1953)
the Great Soviet Encyclopedia. He wrote a definitive biography of Nikolai Lobachevsky and edited his collected works (5 volumes, 1946–1951). Kagan's doctoral
Benjamin_Kagan
Ethnic minority in Russia
Mathilde Kschessinska, ballerina and lover of Nicholas II of Russia Nikolai Lobachevsky, mathematician and geometer Kazimir Malevich, painter Robert Rozhdestvensky
Polish_minority_in_Russia
1828: Friedrich Wöhler synthesized urea, refuting vitalism. 1830: Nikolai Lobachevsky created Non-Euclidean geometry. 1831: Michael Faraday discovers electromagnetic
Timeline of scientific discoveries
Timeline_of_scientific_discoveries
Calendar year
November 28 – Victor Cousin, French philosopher (d. 1867) December 1 – Nikolai Lobachevsky, Russian mathematician (d. 1856) December 5 – Andrés de Santa Cruz
1792
Lobachevsky Prize Russian Academy of Sciences Award in honor of Nikolai Lobachevsky Spain Ferran Sunyer i Balaguer Prize Ferran Sunyer i Balaguer Foundation
List_of_mathematics_awards
conditions. Non-Euclidean geometry Carl Friedrich Gauss, János Bolyai, Nikolai Lobachevsky (founders) Independent development of hyperbolic geometry in which
List of people considered father or mother of a scientific field
List_of_people_considered_father_or_mother_of_a_scientific_field
German mathematician (1794–1874)
same level as those of the main founders of non-Euclidean geometry, Nikolai Lobachevsky and János Bolyai. Taurinus corresponded with Gauss about his ideas
Franz_Taurinus
Lunar impact crater
beyond the eastern limb. It was named after Russian mathematician Nikolai Lobachevsky in 1961. This crater lies to the southeast of the larger crater Fleming
Lobachevskiy_(crater)
Mathematik is founded by August Leopold Crelle in Berlin. February 23 – Nikolai Lobachevsky first presents his system of non-Euclidean hyperbolic geometry. Johannes
1826_in_science
Nauk in Biological Sciences (1969), Honorary Professor at the N. I. Lobachevsky State University of Nizhny Novgorod. He is known as the founder of scientific
Nikolay_Artemov
Russian mathematician (1865 to 1944)
Nikolai Lobachevsky. The subject of hyperbolic geometry was non-Euclidean geometry, a departure from tradition. The early exposure to Lobachevsky's work
Aleksandr_Kotelnikov
1988 non-fiction book by I. M. Yaglom
names include August Ferdinand Möbius, Jakob Steiner, János Bolyai, Nikolai Lobachevsky, Arthur Cayley, Hermann Grassmann, and William Rowan Hamilton. Alongside
Felix_Klein_and_Sophus_Lie
German mathematician and geometer
(theorem of Minding and Liebmann's theorem). He translated the works of Nikolai Lobachevsky into German. Liebmann was a member of the Saxon Academy of Sciences
Heinrich_Liebmann
Russian mathematician (1880–1940)
prominent astronomer Ivan M. Simonov, who was a close colleague of Nikolai Lobachevsky. Wanting to be a psychologist, Vasiliev studied at the medical faculty
Nicolai_A._Vasiliev
2005 anthology by Stephen Hawking
Laplace Joseph Fourier Carl Friedrich Gauss Augustin-Louis Cauchy Nikolai Ivanovich Lobachevsky János Bolyai Évariste Galois George Boole Bernhard Riemann Karl
God_Created_the_Integers
Soviet mathematician (1903–1987)
Academy of Sciences in 1967 Awarded the Wolf Prize in 1980 Awarded the Lobachevsky Prize in 1986 The following are named in Kolmogorov's honour: Fisher–Kolmogorov
Andrey_Kolmogorov
Russian sculptor (1858–1932)
Luigi Premazzi. She also sculpted a monument to the mathematician Nikolai Lobachevsky in Kazan. Her husband was the Russian painter Fyodor Buchholz. She
Maria_Lvovna_Dillon
build a second working space. This new technology park named after Nikolai Lobachevsky is designed to support an additional 1,500 employees and is scheduled
Innopolis Special Economic Zone
Innopolis_Special_Economic_Zone
Gulag labor camp
Finnish photographer, businessman, and SS-Officer Yakov Livshits [ru] Nikolai Lobachevsky [ru] Eduard Senkevich [ru], "chekist," director (1931-33) of SLON
Temlag
Nobel laureate in physics. February 24 (February 12 Old Style) – Nikolai Lobachevsky (born 1792), Russian mathematician and geometer. February 25 – George
1856_in_science
Planetarium in Penza, Russia
the Earth atmosphere at the request of the Kazan University rector Nikolai Lobachevsky. In 1928, the People's Observatory was built at the park as a memorial
Penza_Planetarium
Month of 1960
The persons honored, only four (Dmitri Mendeleev, Igor Kurchatov, Nikolai Lobachevsky, and Alexander Popov) of whom were Russian, included Louis Pasteur
March_1960
Italian artist and art collector (1914–1990)
Cavellini Leonardo da Vinci, Treatise About the Painting of Cavellini Nikolai Lobachevsky, New Principles of Cavellini Immanuel Kant, Critique of Cavellinian
Guglielmo_Achille_Cavellini
at Kazan State University in 1816 where he was a close friend of Nikolai Lobachevsky. He was a corresponding member of the Saint Petersburg Academy of
Ivan_Mikhailovich_Simonov
Russian and Soviet artist (1890–1941)
by Carl Einstein and Paul Westheim. The article was a tribute to Nikolai Lobachevsky's essay, "Pangeometry", of 1855, one of the first works on non-Euclidean
El_Lissitzky
of Dubienka Archimandrite Photius (1792-1838) - religious leader Nikolai Lobachevsky (1792-1856) - mathematician Mikhail Pavlov (1792-1840) - academic
1792_in_Russia
Hungarian mathematician (1802–1860)
Bolyai learned that Nikolai Ivanovich Lobachevsky had published a piece of work similar to his appendix in 1829. Though Lobachevsky published his work
János_Bolyai
Spanish surgeon (died 1865) December 1 (November 20 Old Style) — Nikolai Lobachevsky, Russian mathematician and geometer (died 1856) March 1 – Jean Godin
1792_in_science
Two geometries based on axioms closely related to those specifying Euclidean geometry
Euclidean geometry. Then, in 1829–1830 the Russian mathematician Nikolai Ivanovich Lobachevsky and in 1832 the Hungarian mathematician János Bolyai separately
Non-Euclidean_geometry
Branch of mathematics
previously. These were the discovery of non-Euclidean geometries by Nikolai Ivanovich Lobachevsky, János Bolyai and Carl Friedrich Gauss and of the formulation
Geometry
5009-0004 1 ruble 1,000,000 200th anniversary of the birth of Nikolai Ivanovich Lobachevsky 1 December 1992 5009-0005 1,000,000 Mausoleum of Khoja Ahmed
List of commemorative coins of Russia (1992)
List_of_commemorative_coins_of_Russia_(1992)
University). The first book about Zonnon was published by the N. I. Lobachevsky State University of Nizhny Novgorod (a.k.a., Nizhni Novgorod State University)
Zonnon
Country in Eastern Europe and North Asia
60th in the Global Innovation Index in 2025. Since the times of Nikolay Lobachevsky, who pioneered the non-Euclidean geometry, and Pafnuty Chebyshev, a prominent
Russia
Stadium in Moscow, Russia
construction of a stadium at the intersection of Michurinsky Prospekt and Lobachevsky Street. It was supposed to build a stadium with a capacity of 10,000
Lukoil_Arena
Geometric axiom
discovering the logically consistent geometries that result. In 1829, Nikolai Ivanovich Lobachevsky published an account of acute geometry in an obscure Russian
Parallel_postulate
Dannie Heineman Prize for Mathematical Physics, Harvey Prize (1994), RAS Lobachevsky Prize (1992), Crafoord Prize (1982), Lenin Prize (1965) Hafez Bashar
List of Moscow State University people
List_of_Moscow_State_University_people
American actor and singer (1911–1987)
and impersonating Kaye. Satirical songwriter Tom Lehrer's 1953 song "Lobachevsky" was based on a number that Kaye had done, about the Russian director
Danny_Kaye
Soviet and Russian mathematician
realizations of the systems of axioms of classical geometries (Euclid, Lobachevsky and elliptic) if one omits the congruence axioms containing the concept
Aleksei_Pogorelov
French mathematician (1855–1931)
507.353. PMID 17734039. (report on Barbarin's work, pp. 363–367) Lobachevsky, Nikolai I. (2010). Pangeometry. European Mathematical Society. p. 288.
Paul_Jean_Joseph_Barbarin
Russian mathematician (1937–2010)
1988. Elected member of the American Philosophical Society in 1990. Lobachevsky Prize of the Russian Academy of Sciences (1992) Harvey Prize (1994),
Vladimir_Arnold
Russian pharmacologist (1936–2020)
Institute in 1961, and earned his Candidat degree in 1969 from N. I. Lobachevsky State University of Nizhny Novgorod. He was a student of Nikolay Artemov
Shamil_Omarov
Calendar year
Temperance Society is founded. February 23 – Russian mathematician Nikolai Ivanovich Lobachevsky develops non-Euclidean geometry (independently of János Bolyai)
1826
East Slavic ethnic group
atmosphere of Venus, and founded modern geology. Since the times of Nikolay Lobachevsky, who pioneered the non-Euclidean geometry, and a prominent tutor Pafnuty
Russians
Russian serial killer duo
manifestations of extremism // Bulletin of the Nizhny Novgorod University. N.I. Lobachevsky: magazine. – 2014. – Vol. 3 (1) . – p. 228 – 233 Organization of an extremist
Academy_maniacs
Framework of distances and directions
Around 1830 though, the Hungarian János Bolyai and the Russian Nikolai Ivanovich Lobachevsky separately published treatises on a type of geometry that does
Space
travel, tourism, insurance
NIKOLAI LOBACHEVSKY
NIKOLAI LOBACHEVSKY
NIKOLAI LOBACHEVSKY
NIKOLAI LOBACHEVSKY
NIKOLAI LOBACHEVSKY
NIKOLAI LOBACHEVSKY
NIKOLAI LOBACHEVSKY
NIKOLAI LOBACHEVSKY
NIKOLAI LOBACHEVSKY
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