. . "Real numbers; continued fraction; Pythagorean triples"@en . "42545" . . "Univerzita Palack\u00E9ho v Olomouci" . "[AE7C10F8441F]" . "\u0158et\u011Bzov\u00E9 zlomky a quasipythagorejsk\u00E9 trojice" . . . "Continued fractions and quasi-pythagorean triples"@en . "Ber\u00E1nek, Jaroslav" . . "\u0158et\u011Bzov\u00E9 zlomky a quasipythagorejsk\u00E9 trojice" . "RIV/00216224:14410/14:00075368!RIV15-MSM-14410___" . "The article was created as the result of the research oriented at innovation of methods, content and forms of primary school teaching in connection with improvement of university education of future primary school teachers. The article describes the possibility of rational and irrational numbers approximation with the help of continued fractions. Based on this approximation, there are derived approximate values of goniometric functions of some angles with the aid of fractions and consequently such formulation is used for the introduction of quasi-Pythagorean triples. Thus it is possible to construct a triangle which is not a rectangular one, but does not nearly differ from a rectangular one."@en . "P\u0159\u00EDsp\u011Bvek vznikl na z\u00E1klad\u011B v\u00FDzkumu zam\u011B\u0159en\u00E9ho na inovace metod, obsahu a forem vyu\u010Dov\u00E1n\u00ED matematice na 1. stupni z\u00E1kladn\u00ED \u0161koly a s t\u00EDm spojen\u00E9mu zkvalit\u0148ov\u00E1n\u00ED vysoko\u0161kolsk\u00E9 p\u0159\u00EDpravy budouc\u00EDch u\u010Ditel\u016F na 1. stupni Z\u0160. V p\u0159\u00EDsp\u011Bvku je pops\u00E1na mo\u017Enost aproximace racion\u00E1ln\u00EDch a iracion\u00E1ln\u00EDch \u010D\u00EDsel pomoc\u00ED \u0159et\u011Bzov\u00FDch zlomk\u016F. Na z\u00E1klad\u011B t\u00E9to aproximace jsou odvozena p\u0159ibli\u017En\u00E1 vyj\u00E1d\u0159en\u00ED hodnot goniometrick\u00FDch funkc\u00ED n\u011Bkter\u00FDch \u00FAhl\u016F pomoc\u00ED zlomk\u016F, n\u00E1sledn\u011B je pak tohoto vyj\u00E1d\u0159en\u00ED vyu\u017Eito k zaveden\u00ED tzv. quasipythagorejsk\u00FDch trojic. Je tedy mo\u017En\u00E9 sestrojit troj\u00FAheln\u00EDk, kter\u00FD nen\u00ED pravo\u00FAhl\u00FD, ale od pravo\u00FAhl\u00E9ho troj\u00FAheln\u00EDka se t\u00E9m\u011B\u0159 neli\u0161\u00ED" . "\u0158et\u011Bzov\u00E9 zlomky a quasipythagorejsk\u00E9 trojice"@cs . . . "9788024440620" . "1"^^ . . "Olomouc" . "\u0158et\u011Bzov\u00E9 zlomky a quasipythagorejsk\u00E9 trojice"@cs . "14410" . "Olomouc" . "P\u0159\u00EDsp\u011Bvek vznikl na z\u00E1klad\u011B v\u00FDzkumu zam\u011B\u0159en\u00E9ho na inovace metod, obsahu a forem vyu\u010Dov\u00E1n\u00ED matematice na 1. stupni z\u00E1kladn\u00ED \u0161koly a s t\u00EDm spojen\u00E9mu zkvalit\u0148ov\u00E1n\u00ED vysoko\u0161kolsk\u00E9 p\u0159\u00EDpravy budouc\u00EDch u\u010Ditel\u016F na 1. stupni Z\u0160. V p\u0159\u00EDsp\u011Bvku je pops\u00E1na mo\u017Enost aproximace racion\u00E1ln\u00EDch a iracion\u00E1ln\u00EDch \u010D\u00EDsel pomoc\u00ED \u0159et\u011Bzov\u00FDch zlomk\u016F. Na z\u00E1klad\u011B t\u00E9to aproximace jsou odvozena p\u0159ibli\u017En\u00E1 vyj\u00E1d\u0159en\u00ED hodnot goniometrick\u00FDch funkc\u00ED n\u011Bkter\u00FDch \u00FAhl\u016F pomoc\u00ED zlomk\u016F, n\u00E1sledn\u011B je pak tohoto vyj\u00E1d\u0159en\u00ED vyu\u017Eito k zaveden\u00ED tzv. quasipythagorejsk\u00FDch trojic. Je tedy mo\u017En\u00E9 sestrojit troj\u00FAheln\u00EDk, kter\u00FD nen\u00ED pravo\u00FAhl\u00FD, ale od pravo\u00FAhl\u00E9ho troj\u00FAheln\u00EDka se t\u00E9m\u011B\u0159 neli\u0161\u00ED"@cs . "6"^^ . "I" . "1"^^ . . . . . "Continued fractions and quasi-pythagorean triples"@en . "0862-9765" . "Matematick\u00E9 vzd\u011Bl\u00E1v\u00E1n\u00ED v prim\u00E1rn\u00ED \u0161kole - tradice, inovace" . . . "RIV/00216224:14410/14:00075368" . "2014-01-01+01:00"^^ .