Bolyai geometry

Bolyai geometry
Математика: геометрия Боляи, гиперболическая геометрия

Универсальный англо-русский словарь. . 2011.

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  • Geometry — (Greek γεωμετρία ; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. Initially a body of… …   Wikipedia

  • geometry — /jee om i tree/, n. 1. the branch of mathematics that deals with the deduction of the properties, measurement, and relationships of points, lines, angles, and figures in space from their defining conditions by means of certain assumed properties… …   Universalium

  • Bolyai, János — ▪ Hungarian mathematician born December 15, 1802, Kolozsvár, Hungary [now Cluj, Romania] died January 27, 1860, Marosvásárhely, Hungary [now Târgu Mureş, Romania]       Hungarian mathematician and one of the founders of non Euclidean geometry a… …   Universalium

  • Bolyai , Janos — (1802–1860) Hungarian mathematician Bolyai, who was born in Koloszvár (now Cluj) in Romania, was the son of Farkas Bolyai, a distinguished mathematician who had an obsession with the status of Euclid s famous parallel postulate and devoted his… …   Scientists

  • Bolyai–Gerwien theorem — In geometry, the Bolyai–Gerwien theorem states that if two simple polygons of equal area are given, one can cut the first into finitely many polygonal pieces and rearrange the pieces to obtain the second polygon. Rearrangement means that one may… …   Wikipedia

  • Bolyai — /ˈboʊljɔɪ/ (say bohlyoy) noun Janos /ˈjanəs/ (say yahnuhs), 1802–60, Hungarian mathematician, best known for his development of non Euclidean geometry …  

  • Euclidean geometry — geometry based upon the postulates of Euclid, esp. the postulate that only one line may be drawn through a given point parallel to a given line. [1860 65] * * * Study of points, lines, angles, surfaces, and solids based on Euclid s axioms. Its… …   Universalium

  • non-Euclidean geometry — geometry based upon one or more postulates that differ from those of Euclid, esp. from the postulate that only one line may be drawn through a given point parallel to a given line. [1870 75; NON + EUCLIDEAN] * * * Any theory of the nature of… …   Universalium

  • History of geometry — Geometry (Greek γεωμετρία ; geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre modern mathematics, the other being the study of numbers. Classic geometry… …   Wikipedia

  • Non-Euclidean geometry — Behavior of lines with a common perpendicular in each of the three types of geometry Non Euclidean geometry is the term used to refer to two specific geometries which are, loosely speaking, obtained by negating the Euclidean parallel postulate,… …   Wikipedia

  • János Bolyai — Infobox Scientist name = János Bolyai image width = 200px caption = Unauthentic portrait of Bolyai birth date = birth date|1802|12|15|df=y birth place = Klausenburg, Transylvania, today Cluj Napoca, Romania residence = Austrian Empire citizenship …   Wikipedia


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