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Leibniz-Handschriften zur Mathematik LH 35, 6, 14, fol. 3v

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: 0.85.

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. 4r); this page is its left half.

The machine reads it as

  1. dh: dg per 9: h.
  2. sed cum tales Jam lum solvi possunt
  3. taque oportet, ad majorem obtinendam varietatem, uit habeamus
  4. cu tatem valorem ipsius cu que n in quo etiam
  5. (7)
  6. hic 5 et 7 sunt constantissi
  7. Constantissimae reperiantur. Ergo sit m = f + g2 co + h coco
  8. A
  9. et fin (dIm = 9+5 deo +h+7 cd deo
  10. (10)
  11. (per aeq. 5 217) dco f+ 9t
  12. . Ruisus ex aequ. 7.
  13. n
  14. seu 9+5+ 2h+0 = f + 9+5co + ht7cd
  15. fiet dm = dF + coda + coco dh= (pere 6) 9 unde per
  16. 2)
  17. aeg. 10 et 12 tollendo habetur aequalio differentialis per
  18. a qu. 1. resolubilis compendii causa casus specialis facilioris causa
  19. (13)
  20. + e
  21. sit
  22. ut evanescat oco in aegu.
  23. 4+52 h+7 Cd = d seu cd = - 9+5 +h+ 7: ht)
  24. e
  25. 6
  26. 1c
  27. 15)C
  28. 2
  29. X163
  30. el ex aequ. 10 fit
  31. et ex aequ. 12 fit dg + 2dh - 9+5 et d9 + 9+5C dh =0
  32. 13 et 15 42+7
  33. ed huc nihil lucramur cum iterm perinde sit ac si data fuisset d9:dh
  34. per 9: h; ut ex nostris notum. Itaque conservanda foret, F, indepen
  35. dens ab ipsis q et h. no si tamen nihilo minus velimus cal-
  36. facere f constantem eu if = e
  37. et fiet ex (2 fiet c0 = -dh: du, et ex aequ. 10 fiet
  38. (17)V
  39. Culum contrahere, poterimm
  40. 15)
  41. =
  42. 2
  43. f-5,g67 +, 2h+27 - (9-5 dh: d9 + Ch h+7 ah: dg
  44. possumus deinde altius ascendere in explicatione ipsius mi
  45. videus altiam, quod ad compendium calculi plarimum
  46. valet nihil nos javari, si pro g ponamus g+5, et
  47. Sufficerequs proinde
  48. pro h, ponamus A h+7.
  49. nisi interverbu constantis simae ut V, et 9 et 2
  50. 2
  51. sint
  52. fit cum aliqua ex
  53. ut Cum est m = f + gcd + Aca
  54. a se invicem independentes, quod etiam
  55. ipsis est constans. Nam alioqui d haberetur aequa
  56. verb. gr. valor dg: df, per g: f. quales jam aliunde
  57. eoissemus
  58. solvere possumus nec lucraremur.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 14, fol. 3v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068059:0006?run=73