Gyeometriya tryeugolnika: Tyeorema Pifagora, Tryeugolnik, Opisannaya okruzhnost, Vpisannaya okruzhnost, Podobie tryeugolnikov (Russian Edition)

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9781232128137: Gyeometriya tryeugolnika: Tyeorema Pifagora, Tryeugolnik, Opisannaya okruzhnost, Vpisannaya okruzhnost, Podobie tryeugolnikov (Russian Edition)
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Istochnik: Wikipedia. Stranitsy: 32. Glavy: Tyeorema Pifagora, Tryeugolʹnik, Opisannaya okruzhnostʹ, Vpisannaya okruzhnostʹ, Podobie tryeugolʹnikov, Tyeorema kosinusov, Bissektrisa, Katet, Zamechatelʹnye tochki tryeugolʹnika, Vysota tryeugolʹnika, Formula Gerona, Tochka Ferma, Ravnobedrennyĭ tryeugolʹnik, Gipotenuza, Ortotsentr, Tyeorema sinusov, Srednyaya liniya, Okruzhnostʹ devyati tochek, Vnevpisannaya okruzhnostʹ, Tyeorema Apolloniya, Tyeorema Napolyeona, Mediana tryeugolʹnika, Pravilʹnyĭ tryeugolʹnik, Tyeorema o summe uglov tryeugolʹnika, Tsentroid tryeugolʹnika, Yegipet·skiĭ tryeugolʹnik, Tyeorema Styuarta, Tyeorema Mardena, Pryamaya Eĭlera, Tyeoremy Karno, Tyeorema Morlyeya, Tyeorema Lyeĭbnitsa, Tyeorema Van-Obelya, Simediana, Tochka Nagelya, Ortotryeugolʹnik, Tyeorema o bissektrise, Intsentr, Pryamaya Simsona, Ellips Shtyeĭnera, Neravenstvo Erdësha - Mordella, Podernyĭ tryeugolʹnik, Izodinamicheskiĭ tsentr tryeugolʹnika, Tochka Zhergonna, Tyeorema Fyeĭerbakha, Neravenstvo Pido, Tyeorema Shtyeĭnera, Neravenstvo Ĭiffa. Vyderzhka: Tyeorema Pifagora - odna iz osnovopolagayushchikh tyeorem yevklidovoĭ gyeometrii, ustanavlivayushchaya sootnoshenie mezhdu storonami pryamougolʹnogo tryeugolʹnika. Tyeorema Pifagora: Summa ploshchadyeĭ kvadratov, opirayushchikhsya na katety (a i b), ravna ploshchadi kvadrata, postroennogo na gipotenuze (c).Gyeometricheskaya formulirovka: Iznachalʹno tyeorema byla sformulirovana sleduyushchim obrazom: Algebraicheskaya formulirovka: To yestʹ, oboznachiv dlinu gipotenuzy tryeugolʹnika cherez , a dliny katetov cherez i : Obe formulirovki tyeoremy ekvivalentny, no vtoraya formulirovka bolyee elementarna, ona ne trebuet ponyatiya ploshchadi. To yestʹ vtoroe utverzhdenie mozhno proveritʹ, nichego ne znaya o ploshchadi i izmeriv tolʹko dliny storon pryamougolʹnogo tryeugolʹnika. Obratnaya tyeorema Pifagora: Po predaniyu, Pifagor otprazdnoval otkrytie svoyeĭ tyeoremy gigant·skim pir...

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