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Non-Euclidean geometries: Gauss, Lobachevskiĭ and Bolyai. (Spanish:Las Geometrías no euclídeas: Gauss, Lobatchewsky y Bolyai)

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Montesinos Amilibia, José María (1992) Non-Euclidean geometries: Gauss, Lobachevskiĭ and Bolyai. (Spanish:Las Geometrías no euclídeas: Gauss, Lobatchewsky y Bolyai). In Historia de la matemática en el siglo XIX. Parte 1. Real Academia de Ciencias Exactas, Físicas y Naturales,, Madrid, pp. 65-114. ISBN 84-87125-19-0

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Official URL: http://dmle.cindoc.csic.es/pdf/HISTORIADELAMATEMATICA_1992_00_00_03.pdf


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Abstract

The author presents the origin of non-Euclidean geometry in the works of J. Bolyai, C. F. Gauss and N. I. Lobachevskiĭ. The main ideas from the Appendix by Bolyai (1831) and from Pangeometria by Lobachevskiĭ (posthumous, 1855) and the reaction of Gauss to the publications of Lobachevskiĭ and Bolyai are presented. The paper contains many excerpts from the works of Lobachevskiĭ and Bolyai and from the letters of Gauss and Bolyai. The exposition is illustrated with many figures. Brief biographies of Bolyai and Lobachevskiĭ are also included.


Item Type:Book Section
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Papers from the conference held in Madrid, February–March 1991

Uncontrolled Keywords:Non-Euclidean geometries
Subjects:Sciences > Mathematics
ID Code:22146
Deposited On:27 Jun 2013 16:53
Last Modified:12 Dec 2018 15:13

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