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Cvrsvs Mathematicvs (2 )

Cvrsvs Mathematicvs (2 )


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. 1758 edition.: ...ptam x1-j-xy--aa.) quia in hac iam datum notable, Scholion., 480. Solutio generalis eft: fed raro au. transformaciones iftas aequationes complicatio-. res aflumuntur, Sufcipitur autem xquationis transformarlo, vel quia regulee eas plene folvendi ad certas formas adftri be funt, vel quia tentamina, quibus ad radices detegendas faepe opu opus eft ob reguiafuffl defeQum, ea re faciitantu. Exemplum t. . 48 i. Sit aequatio propofita affumpta Vero fit x--y i erit nova, JP--' pf-f 9 + r--0 quae a priori hon differt nifi eo, quod figna terminorum j in qilibus x occurrebat cum exponenteimparij mutata fint in contraria. Haec autem aequatio ordinatuf in iftartl in qua iam, figna coeiiicientium ad eas dignitates incogniti) quarum exponentes pares funr, & ipfius r, in contraria funt mutata. Mquztionis ergo ita producta; radices fignis gaudent, quae oppofita funt illis, quibus gaudent radices x aequationis prions: id eft, radices afhrmativae prioris aequationis funt negativas inpofteriori; &quaeibi negativa; erant, hicfuot affirmative;. Exemplum II. $.482. Sit propofita aequatio XJ 12X3 21X-J-I 36, m aflumpta vero in x =--y, em aequatio nova I.fequationis ergo, qua? ita folvi poteft, h c forma erit" quae quidem fatis reftriua eft, fed tamenoftendit i sequationis quinti ordinis quinque efle pofie radices reales. Eodem vero modo confideratis aequationibus fdperiorum ordinum generatim, perfpicietur, cuiuscunque sequationis tot efle pofle radices, reales, quotus eft a: quationis ordo. Scbolion. . 490. Sed fi tot numero, efle poflunt sequationis radices reales, vel ex antecedentibus apparet, non femper efle, cun & qua draticae scquationes occurrerint, quarum radir cealis prorfus nulla eft. Detegendse tarnen fuat T 3 aequa divifores non neeefiario datae...


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Product Details
  • ISBN-13: 9781234874711
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 38
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1234874717
  • Publisher Date: 26 Jan 2013
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 86 gr


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