"Elementary proof of the theorem on portioning a pizza"@en . "Elementary proof of the theorem on portioning a pizza"@en . "[ED39E7077B4B]" . "0"^^ . . "1"^^ . "0"^^ . "Hojsova Str\u00E1\u017E-Br\u010D\u00E1ln\u00EDk" . . . "1"^^ . "Consider next formulation of the pizza theorem: If a circular pizza is divided into 2n slices by making cuts at degree angles from an arbitrary point in the pizza, then the sums of areas of n alternate slices are equal. There is given a simple proof of the theorem by using of Cavallieri principle generalization in the papper."@en . "Leischner, Pavel" . . "6"^^ . "P\u0159\u00EDsp\u011Bvek obsahuje element\u00E1rn\u00ED syntetick\u00FD d\u016Fkaz tohoto tvrzen\u00ED: V kruhu ohrani\u010Den\u00E9m kru\u017Enic\u00ED h(O, r) zvolme libovoln\u00FD bod M a n =2k p\u0159\u00EDmek (k>1 je p\u0159irozen\u00E9 \u010D\u00EDslo), z nich\u017E ka\u017Ed\u00E9 dv\u011B sousedn\u00ED sv\u00EDraj\u00ED \u00FAhel ?/n. \u010C\u00E1sti vznikl\u00E9 roz\u0159ez\u00E1n\u00EDm kruhu pod\u00E9l t\u011Bchto p\u0159\u00EDmek obarv\u00EDme dv\u011Bma barvami tak, aby ka\u017Ed\u00E9 dv\u011B sousedn\u00ED (to znamen\u00E1 ty, kter\u00E9 maj\u00ED spole\u010Dnou \u00FAse\u010Dku) m\u011Bly r\u016Fznou barvu. Pak se sou\u010Dty obsah\u016F \u00FAtvar\u016F t\u00E9\u017Ee barvy rovnaj\u00ED." . . . . "Element\u00E1rn\u00ED d\u016Fkaz v\u011Bty o kr\u00E1jen\u00ED pizzy"@cs . "Element\u00E1rn\u00ED d\u016Fkaz v\u011Bty o kr\u00E1jen\u00ED pizzy"@cs . "RIV/60076658:12410/03:00004654!RIV/2004/MSM/124104/N" . "Z\u00E1pado\u010Desk\u00E1 univerzita v Plzni" . "Element\u00E1rn\u00ED d\u016Fkaz v\u011Bty o kr\u00E1jen\u00ED pizzy" . "Plze\u0148" . "Element\u00E1rn\u00ED d\u016Fkaz v\u011Bty o kr\u00E1jen\u00ED pizzy" . "12410" . "Z(MSM 124100006)" . "125-130" . "2003-09-08+02:00"^^ . . "605782" . . . "Sborn\u00EDk 23. konference o geometrii a po\u010D\u00EDta\u010Dov\u00E9 grafice." . . "The theorem on portioning a pizza, secondary school geometry, Cavallieri principle."@en . . . . "80-7082-943-5" . . "RIV/60076658:12410/03:00004654" . .