Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 56 · Bernoulli, Jac., fol. 45v

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: 0.79.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 44r); this page is its left half.

The machine reads it as

  1. dX = 14. X =
  2. =
  3. 2
  4. SX. ex
  5. 2 X
  6. iex
  7. (X) =2Xdx
  8. c-
  9. X a sam + bx.) IX Nam XbX. )+ X dx b X
  10. lxi (X
  11. 2 aM + 2b X
  12. 2am + - b X
  13. (x-1)
  14. +b
  15. X. Stam + bX.
  16. Ergo d X + X, Nam + b∞. ) = dx,
  17. eracte
  18. (-
  19. (2am + 2bX7) (E
  20. bYX
  21. 2
  22. +
  23. aam + 26X
  24. loidsi jam X + CX dividic potest per ram + 2bX
  25. quod utique in potesta
  26. cum invicem non dependeant, C,C et Y, inha prodibit formala exacte
  27. summaliitis carens indeterminata in fractione, et ubi maxiidis exponens ipsius X
  28. patra vinculum potest esse unioate major
  29. Non dubito quin ribi facile sit Canones quosdam summationum absolutarum
  30. aut reductionum pro non absolutis fabricare. sed non vdeo cur rem desidere
  31. extsta, cum malim ego exponentem in Vinculo. Exomplaquale postulas
  32. ni
  33. Efiamsi forte mini affuussent, non sunt in numeratole, lalium plus est in
  34. X CX, Nam + bXY) ubi prodit in fallor, et quantum extmpe
  35. meis hedis, quam sa
  36. xtmporanea mihi offeat calculatio
  37. lx
  38. C2am 4 2b X.) (X + sc.
  39. roc
  40. r21
  41. (X +CX
  42. (Can+ bx
  43. patet effici posse ut Xe = CX dividi possit exacte per am 4 bX.
  44. 2am 4 2b X
  45. quaniam numeri E Fr. sunt a se invicem nuxpendentes quemadmndum et
  46. im, , c. Facta ergo divisione habebitur foruuta exacte suminque
  47. maxdumm
  48. bilis, carens indetenmmaatan fractione, et ubi nihil prohibet
  49. ex ponentem ipsius, X eravinculum esse uutate majore existone te
  50. entra Vernculum. sed fortesse non salis mentem Tuam in solligo atfateor) in
  51. latia mngrybere, nunc non vatal, malimus ea it a Tempere, quain
  52. Ia quibusdam non satis 1. ligatis pro nostro capta scilicet captu) certum non est noves
  53. fecum contendere uter pact observarit
  54. aunisolisa axa tious morborum accedentibus. nos ideo propius accedere ad veritatem mediam
  55. in uxiversum, etsi prudentia rem ita sumabeat accipi. in ludis sive puraerationis
  56. ihul ludi scaccorum e aggerum) sioe semiforturtis ut hartularum quim hominis
  57. ocant Hispani (Ahombre vel aleae aoem nostra quem nostri conversibuis apperrant
  58. donteson atsi non sit focile definiret calcalo quanto unu efigendorum pt altero
  59. u
  60. rictae convenientu
  61. unus tamen definiri potest, utrum sit conve
  62. mnemosos propemodu ut in re malitani
  63. ati bqus magis aultiplicio, quara par
  64. 2Nam + bX.
  65. 6
  66. ama ba
  67. C (L-1)

Cite

LBr. 56 · Bernoulli, Jac., fol. 45v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 154). https://leibnizlegible.com/page/DE-611-HS-958800:0090?run=154