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Karel Petr

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

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

  1. ^ "Karel Petr". The Department of Mathematics and Statistics of the Faculty of Science, Masaryk University (in Czech).
  2. ^ 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.
  3. ^ Petr, Karel (1908). "Ein Satz über Vielecke". Arch. Math. Phys. 13: 29–31.
  4. ^ 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.
  5. ^ 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.
  6. ^ 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.
  7. ^ Karel Petr at the Mathematics Genealogy Project

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