"Symmetric polynomials in problems of elementary geometry"@en . "The article offers ideas for problem teaching in mathematics at secondary schools and universities. There is solved a problem how to calculate the dimensions of a triangle and a cuboid from the given general parametres (e.g. for a triangle there are given its circumference and area). While solving there are on one side used symmetric polynomials and the relations between roots and coefficients of an algebraic equation, on the other side the knowledge of the behavior of a cubic function."@en . "Algebraic equation; cubic function; symmetric polynomial; triangle; cuboid"@en . "Symetrick\u00E9 polynomy v \u00FAloh\u00E1ch z element\u00E1rn\u00ED geometrie"@cs . "Symetrick\u00E9 polynomy v \u00FAloh\u00E1ch z element\u00E1rn\u00ED geometrie"@cs . "344970" . . "Sborn\u00EDk p\u0159\u00EDsp\u011Bvk\u016F z 6. \u017Eilinsk\u00E9 didaktick\u00E9 konference s mezin\u00E1rodn\u00ED \u00FA\u010Dast\u00ED" . "Symetrick\u00E9 polynomy v \u00FAloh\u00E1ch z element\u00E1rn\u00ED geometrie" . . "Symetrick\u00E9 polynomy v \u00FAloh\u00E1ch z element\u00E1rn\u00ED geometrie" . . . . "1"^^ . "978-80-554-0050-1" . "2008-06-12+02:00"^^ . "Symmetric polynomials in problems of elementary geometry"@en . "\u017Dilina" . "1"^^ . "\u017Dilina" . . . . . . "Ber\u00E1nek, Jaroslav" . "S" . . . . "RIV/00216224:14410/09:00035723!RIV10-MSM-14410___" . . "\u017Dilinsk\u00E1 univerzita v \u017Diline" . . "T\u00E9matem p\u0159\u00EDsp\u011Bvku jsou n\u00E1m\u011Bty pro probl\u00E9movou v\u00FDuku v matematice na st\u0159edn\u00EDch a vysok\u00FDch \u0161kol\u00E1ch. Je \u0159e\u0161en probl\u00E9m ur\u010Den\u00ED d\u00E9lek stran troj\u00FAheln\u00EDku a kv\u00E1dru ze zadan\u00FDch obecn\u00FDch parametr\u016F (pro troj\u00FAheln\u00EDk je nap\u0159. zad\u00E1n jeho obvod a obsah). P\u0159i \u0159e\u0161en\u00ED jsou vyu\u017Eity jednak element\u00E1rn\u00ED symetrick\u00E9 polynomy a vztahy mezi ko\u0159eny a koeficienty algebraick\u00E9 rovnice, jednak znalosti pr\u016Fb\u011Bhu kubick\u00E9 funkce." . "14410" . "[61CB02BA1F18]" . . "RIV/00216224:14410/09:00035723" . "T\u00E9matem p\u0159\u00EDsp\u011Bvku jsou n\u00E1m\u011Bty pro probl\u00E9movou v\u00FDuku v matematice na st\u0159edn\u00EDch a vysok\u00FDch \u0161kol\u00E1ch. Je \u0159e\u0161en probl\u00E9m ur\u010Den\u00ED d\u00E9lek stran troj\u00FAheln\u00EDku a kv\u00E1dru ze zadan\u00FDch obecn\u00FDch parametr\u016F (pro troj\u00FAheln\u00EDk je nap\u0159. zad\u00E1n jeho obvod a obsah). P\u0159i \u0159e\u0161en\u00ED jsou vyu\u017Eity jednak element\u00E1rn\u00ED symetrick\u00E9 polynomy a vztahy mezi ko\u0159eny a koeficienty algebraick\u00E9 rovnice, jednak znalosti pr\u016Fb\u011Bhu kubick\u00E9 funkce."@cs . . "8"^^ .