Karel Petr
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Karel Petr (Czech: [ˈkarɛl ˈpɛtr̩]; 14 June 1868, Zbyslav, Austria-Hungary – 14 February 1950, Prague, Czechoslovakia)[1] was a Czech mathematician. He was one of the most renowned Czech mathematicians of the first half of the 20th century.
Biography
[edit]Petr is known for the Petr–Douglas–Neumann theorem in plane geometry, which he proved in 1905 (in Czech)[2] and in 1908 (in German).[3][4] It was independently rediscovered by Jesse Douglas in 1940[5] and by B H Neumann in 1941.[4][6]
Eduard Čech was a doctoral student of Petr at Charles University in Prague. Petr's doctoral students also included Bohumil Bydžovský and Václav Hlavatý.[7]
References
[edit]- ^ "Karel Petr". The Department of Mathematics and Statistics of the Faculty of Science, Masaryk University (in Czech).
- ^ Petr, Karel (1905). "O jedné vete pro mnohoúhelníky rovinné" [On a theorem for the plane polygons] (PDF). Casopis pro pestování matematiky a fysiky (in Czech). 34 (2): 166–172. doi:10.21136/CPMF.1905.120936. ISSN 1802-114X.
- ^ Petr, Karel (1908). "Ein Satz über Vielecke". Arch. Math. Phys. 13: 29–31.
- ^ a b Stephen B. Gray (2003). "Generalizing the Petr–Douglas–Neumann Theorem on n-gons" (PDF). American Mathematical Monthly. 110 (3): 210–227. CiteSeerX 10.1.1.605.2676. doi:10.2307/3647935. JSTOR 3647935.
- ^ Douglas, Jesse (1940). "On linear polygon transformations" (PDF). Bulletin of the American Mathematical Society. 46 (6): 551–561. doi:10.1090/s0002-9904-1940-07259-3.
- ^ B H Neumann (1941). "Some remarks on polygons". Journal of the London Mathematical Society. s1-16 (4): 230–245. doi:10.1112/jlms/s1-16.4.230.
- ^ Karel Petr at the Mathematics Genealogy Project
External links
[edit]- "Author: Petr, Karel". Czech Digital Mathematics Library (in Czech).
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