Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 396 · Hermann, fol. 59v

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: 0.82.

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. 60r); this page is its left half.

The machine reads it as

  1. k
  2. AA
  3. on
  4. t ph
  5. m -1
  6. +
  7. m-.
  8. R AR + pA + q
  9. 2
  10. ec.-
  11. Aec
  12. _C. at =6
  13. K K, X dc. aC = b
  14. Unde si in generali formula AX + H. Substituantur loco X, termini progressionii
  15. arithmelicu G, mutabantur illa in formulas columna H, divisor vevo foctas
  16. ax =b in formulas respectioas columna k exprebas. A deoque si proposito formula
  17. AX . divesilila sit per divisorem aliquem ut ax =b, Lune omnes ternuini co.
  18. lumna s dicisibiles erunt per suum quique respondentem terminum columne
  19. Divisorem ax =b fictum nomino quia suppono nondum constare, quid pro a et b po-
  20. ni debeat ut divisio succedat: Termini Fcolumná l respondentere regione foomu
  21. lis columnn de divisores sunt formularum respectivnrum Lujus columna He, loc est
  22. eet
  23. m -1
  24. P, e divisoree sant formula Af pf
  25. c. et hic in reloquis. Duibus xositei
  26. sequitur (1) Duod cum termini seriei G progressionem arithuet. descendentem, si
  27. placet, consliruant, series de similiter progresi. avite metica efficiat cujus differentia
  28. sue diffeventia progresiiones G per a seu devisorem aliquem ipruu A multiplicata
  29. (2) se inter divisores columna s q sine termini ut C V, seu e. v. Quil
  30. quavis alia ratione sumti, qui desendendo progressionem avithmeticum compo
  31. nant ujus differentia sit aqualii diffeventia seriei G per divisorem quenoin
  32. a coefficientis, et altisimi in formula termine multiplicata; res pondebunt vel
  33. Bosito quod
  34. aquales erunt ille termine, terminis seviei le et mogressio tum divisoru
  35. columna 1, quam terminoru seriei G in infinitum abeat; nem pe eo cche
  36. e vdl ec repondebit af = b, V, Y qn ag = b et sic porro; vel notitis
  37. ut
  38. (3). 8=1, G = 0, et L = - 1 neglectis reliquis e, termini at Lb, ag +b
  39. ah =bX Degenerabunt in a = b, +6 et - a = b qui proinde in Loc
  40. suppositione repondebunt devisoribus seviei F) quibui ille af + b e
  41. un
  42. respondeve eliximus. Aeque itacinvinitur b cum suossigntse sed habetur etia
  43. valores
  44. a; unde habebutur elivisor vel divisores fent audi, cum quibus si
  45. est nula demonstratione opui aabet.
  46. 2
  47. ag =d
  48. 1et
  49. pg
  50. B

Cite

LBr. 396 · Hermann, fol. 59v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 317). https://leibnizlegible.com/page/DE-611-HS-973581:0118?run=317