Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 58 · Bernoulli, N., fol. 14r

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: 0.80.

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. 13v); this page is its right half.

The machine reads it as

  1. in quo nulla fere nova, sed pleraque jam diu noba obscure tamen et
  2. nemes in abstracto proposita invene, ita ut a paucis ea intelligi credam.
  3. Propositionem ejus tertiam ego jam olim in hunc modum solve. Sit aequa
  4. fio differentialis in quam ingrediantur varcabiles duae X et Z cum suis
  5. a
  6. 3
  7. lifferentialibus dx et d2, quarum d supponitur esse constans, oporteat
  8. ta
  9. e
  10. invenire quid pro ddx, d.X. &. substitue debeat, ut de feat vareabilis et
  11. dx constaas. Fingo dax = AdZ ubi A significat quantibatem composibam
  12. .
  13. ex X, Zet constantibus, hinc integrando labetur dx= Ad Xd sive dx
  14. a2
  15. (AdZ, quae aequatio iterum diferentiata ponendo dQuaviabilem et dx con
  16. santem dat-axddZ
  17. dis
  18. s ad2
  19. = Ad Z vel-dxdd.
  20. d
  21. 2
  22. l
  23. dic
  24. pro differentialibus fertiis suppono d’x = Adq hinc intequando ddx=
  25. se
  26. a
  27. X(AdZ, vel (ponendo pro ddx valorem ejus modo inventum et divideho
  28. per d2) axddZ
  29. a23
  30. (Adque, quae iterum differentietur sumta dx constate
  31. de, et habebitur= xdd) + hdddZ
  32. de
  33. 4
  34. Aaqsi
  35. =axde
  36. Ad3= d’X; quemadmodum Taylorus quoque lavet
  37. quocederem in reliquis differentialium gradibus.
  38. Sir Amplissime ac Celeberriare
  39. fautor Honoratissime
  40. (3-
  41. C
  42. 3axdd Z2
  43. Discessit hinc Agantus meus aate XV circiter dies: es
  44. ejus litteras quas libi mittendes mihi reliquerat; volui hac
  45. e
  46. saua adsicere, in ceponsione ad ea quae auperrime a
  47. se accepi: Nihil iatelligo ex scripto Aaplicano ille all.
  48. Wolfio ad Te tinamisco mecunque porro comnonato; reque
  49. capio quid geaeralis illa ab ahonyno jactata solutio
  50. s
  51. contribuat ad casua aliguea sptecialeem soloerts vellea
  52. eodem que modo

Cite

LBr. 58 · Bernoulli, N., fol. 14r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 82). https://leibnizlegible.com/page/DE-611-HS-958804:0027?run=82