Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 158

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: 0.88.

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

The machine reads it as

  1. DE L Mt L D D A LLO NF
  2. IE O R E H A IV.
  3. ETA quad. - cubus = B in A Guad. quad. F B quad. in A cubum -- B cuD
  4. Din A quad. F B quad. quact. I A, aequetur B quad. quad. in Z: CAt Bpri
  5. mamajol in lesse les cotettilie proportionalium; difterentia vero quinque
  6. reliquarum alterne sumpearum cstZ, _ AE A sc cunda.
  7. Suneo proportionales conine T. 2. 4. 8. 16. 32. 10C - 32 80 + 1024
  8. 327689 + 1048576N, aquarur 11534336. fit LN 160 r et 18C= 1QQ F1C- 19 + 1H
  9. aequatur 22, es fIt L N 2.
  10. Ethaec lingula suam habent ex Z ere si demonstrarionem: at quxe jam se quitur collectio
  11. sua analyrico examini subjicienda libere relinquit Fheoremat a. perrinet aucem ad aequa
  12. licares de mulciplicibus radicibus mire explicabiles.
  13. C A PV F ZIV.
  14. Collectio quarta.
  15. H B O R E M A I
  16. 27D FD in A. A Gua, aequetuF B in D: A explicabilis est de qualibet il
  17. E H E O R E M A TY
  18. Si A cubus = B = D = C in A quad. = + Bin D -+ Bin C + D in C inA, aque
  19. tur B in D in C: A explicabilis est de qualiber illarum erium B, D, vel G.
  20. 1C- 69 + LIN, aequatur 6. Fit 1N 1, 2, vel 3.
  21. T H E O R E M A III.
  22. Si B in Din C F Bin DinH. F Bin Gin H -+ D in C m El inA - B in D - Bin6
  23. =Bin H =- Din C = Din HI = G in H in A quad. =F. B -+ D F C - + FI in A c1
  24. bum =. A quad. quad, aequerur Bin D in C in L: A explicabilis est de qualibec illarum
  25. quacuor B, D, G H.
  26. SON- 35Q + 20C- 190. aequatur 24. fit 1N 1, 2, 3, vel 4.
  27. E H E OR E M A IV.
  28. Si A quadrato. cabus =B -- D - C = HI - K in A quad. quad. =F B in D F B in C
  29. + Bin H + BinK + Din C. F D in H -+ DinK -F C in H F G in K -+ LL in K
  30. in A clbum = B in Din C = Bin DinH = B in D in K = Bin C in HI - Bin C inK
  31. BiaTLInKE = D in CinHI =Din GinK = DinELInK -OinHlinK in A9uad.
  32. F B in D in C in H + B in D in C in K. F B in D in H in K- + B in C in H in H
  33. =FD in C in HIin K in A, aequecur B in D in C in H in K: A explicabilis es de qualiberil
  34. larum quinque B, D, C, FI, H.
  35. 10C-1599+85C - 2259 F 274N, aquATUT12O. FIL INI, 2, 3, 4, vel 5.
  36. Acque tixc elcgans ec perpulctua speculacionis (y llose, tractarui alioquin esu(o, Rner
  37. aliquem e Coronida randem imponito.
  38. Dlarum duarum B vel D.
  39. 3N - 19, aequetur 2. fit LN 1, vel 2.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 158. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0164?run=74