Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 462

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. ARLPAMETICA PFOD. CLXXXIX.
  2. Probabitur haec ex praecederite. Vel etiam (ut praecedens) ex analosia pro.
  3. grectionis Arichmerica. Ec quidem induetione comprobarur in locis omnibus re-
  4. Pleris; ue non sic dubium quin idem de racuis eciam judicandum (IE.
  5. Si quis autem haelitac de imparibus seriei prima, (quos aio tieri ex concinua
  6. mulciplicatione numeTOTUM a x OX2 X 4. X6X8 _c.
  7. TKZKGX7KO _C.) nempe, neo ciphra quae iltie
  8. conspicitur, coram comrinuam mulciplicationem, quantacunque fuerie, penicus de-
  9. Pruae faciarque omnes iltius Teriei terminos cranelcere in o ciptrram (eu Nihil:
  10. Sciendum elt, inde huic malo cautum esse quod cerminus A in ista serie sic ∞ In-
  11. tinitum, (proue superius oltendimus in Scholiis ad prov. 266.) adeoque nili se.
  12. queretur o (ad iplius o rires minuendas) excrevilsent omnes illius seriei ter-
  13. mini in ∞ Intinitum. Sed corum alcerum alcerius malo medetur commode.
  14. Ouamris enim co x0 non aliquem decerminare numerum designet, (de propterea
  15. nihil inde certi de religuis quantiratibus concludi postic,) porest tamen quali vir-
  16. tualicer cujusris numeri vices Tubire. Nlam quicunque numerus per a diridatur,
  17. quotientem dabie o, et contra. Puta ∞) T(0. d) F (0. ∞) 2 (0. 0) 2(c0.
  18. )3(0. 0) 3 (∞. EF Ec de quoris alic: Et propterea (cum Divison in Quocientem
  19. ductus restituere debeat numerum Dividendum) ellet ∞ xO = F, rel ∞ X9 = 2,
  20. vel ∞20 = 3; Et lic de quoris alio rumero.
  21. EROP. CLXXXIX.
  22. Theorema.
  23. sequitur, quod Si ex Fabella prop. 284. locis racuIS unuS
  24. LL quilibet numeronoco suxpleatur, erume ex reliqui omnes cogniti.
  25. Verbi gracia; si numerus hac nora D designacus supponatur cognius, religui
  26. omnes etiam cognolcentur; qui nempe eam habent ad illum rationem quae tic
  27. Tubcus indicacur.
  28. 35
  29. 3e
  30. X 4 CVCL (1BLBSL CNIICL
  31. 4
  32. 81 + 24 1 f 161
  33. 2
  34. +646+ 566 161,-15
  35. 105
  36. 613 F4F12461 =
  37. 2611. + 9613 + 1761 + 06
  38. 384
  39. Fotus
  40. te
  41. .D2

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 462. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0482?run=74