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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 85

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.81.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. a
  2. eis
  3. ex
  4. D
  5. let
  6. 1
  7. 1I
  8. e
  9. Ost
  10. et
  11. UM
  12. 201
  13. 112
  14. 1Cs
  15. DU.
  16. eAt
  17. ex
  18. 2E4
  19. te
  20. AE QV A YY O N V M.
  21. differentia vel summa laterum, vel suorum oraduum, una cum dato sub iis
  22. aut corumgradibus paribus vel disparibus facto, alcerutrum ex lateribus.
  23. Ad aequationes denique mulcipliciter affectarum, affectionem aftectio-
  24. ni adjunget sub direrlis laterum parodicis oradibus.
  25. Auc eriamnon se adirer uni quaestionum Formulae, sed se lub Z erecicis
  26. exercebie sub quocunque efficto rel propolito chemate.
  27. Dux Geometrico operi aptaturus, recordabitur latera ad exeremas li-
  28. neas rectas in serie continue proportionalium referri, Facta vero lub laceri-
  29. busauc laterum paribus rel disparibus eradibus ad aliquarum e mediis po-
  30. Cectates.
  31. Ec quum incidet in aequarionem Mechanico suo henc obriam, de illa
  32. conder Theoremalimile, cujuscunque aequalicatis Syctaticum de Exese-
  33. cicumr.
  34. AEquationem xequationi similemresularirer dicimus, quum uerobigue
  35. Par eAporectas, leu xeque alta, iplaque affecta afticientre, lub pari gradu de
  36. cademaffectionis nOLa.
  37. SuodHatue peam praeterea requiritur speciale ec condiconariums
  38. similicudo anomala est.
  39. C A P Y F TTI
  40. Constum d aequationum quadraricarum ex Zetericis.
  41. Llectorum lane, qua ddae quantur, quadratorum constiturio, ex Z etc-
  42. EiCIS digNOSCITIE PEOBC: CunE aurem aequationum hujulinodi eres IpC-
  43. Cies: Ka Ta Parirn, A’no Pari, A DiBON O
  44. Lebusitaque Lbrematis de carum consticutione Analycta ita PoterIE
  45. ratiocinai.
  46. T H B O R E M A 1.
  47. R A F A B A Y IK 1I5.
  48. FA quad. F B in A, Xquel Z quad: sunteres proportionales radices.
  49. quacum media est L, atterencia vero exrremarum B; de AC A MIMOL CX
  50. Data mediaerium proporcionalium linearum rectarum, ex differentia inter
  51. Oca enim in lineis rectis locum habene comparariones, ealdem ad radices qualeon-
  52. que, mplices, planas, solidalre, auculcerioris ordinishomogenas, polseaprari, diste-
  53. Sil igicur daca Z media crium proporrionalium, B diferentia exFremarum, et 0.
  54. PorreacTrenice minoreMexEremam.
  55. E.AO illa A. major isICUE Cric A + B. dueatur minor in majorem; Ac A quad. + D
  56. In A. Er vero quando sunc proportionales, quod tcsub extremis aequacur medix qua-
  57. draco igitur A quad. - = B in H, aequale eAt Z quad. Id aurem iplum est quod ordiacur.
  58. L= 10. N. aequatut 14 4. E)t V 144. media incer extremas disferentes per 10. es sit L N minor
  59. T E E OR E M A IL.
  60. ATIODAFTKHS.
  61. A quad. = BIn AL, LGLETIE Z. QUAd: LIINEErES PFOPOrEIONaleS, QuLALUI
  62. media estZ, dureLCACd verO exEremarum eAt B; dE HL A MajOT CXETCMA.
  63. FX 2C.
  64. trema.
  65. Ex Zecericol placet.
  66. extteus, ideiremitarem extremam.
  67. ruic Campanus in libro de proporcione.
  68. excrema ex seris ercum proporionalium. 8. 12. 18.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 85. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0101?run=74