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Leibniz-Handschriften zur Mathematik LH 35, 5, 14, fol. 19r

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. 18v); this page is its right half.

The machine reads it as

  1. et quoniam Loggulam
  2. n
  3. numerorum progressionis Arithmetici nermpe a. X tab. X.
  4. X+ Vab
  5. sunt progressionis Geometricae, hinc trium istorum Logarithmorum, haberi potent summa quoniam
  6. frium nume quantitatum progressionis Aithmeticae semper haberi summa potest sed ea summa erit
  7. per duos itaque tres illi Logarithmi in quibus includitur incognita, semper reduci po hic
  8. poterunt
  9. vi
  10. duos
  11. -
  12. quae utique tractabilior: potuistermus aliam formare L hoc modo. analogra
  13. adoi posrint duber
  14. e lyte
  15. a
  16. a
  17. seu
  18. paritimi
  19. Cn 3
  20. X +C
  21. id est legarithum BLeg X - 3f .9 A, p p
  22. 3L04 X L0gEX +C ,7 2 Loga
  23. Log X et Log bX +C
  24. et Xtc H v
  25. 2b ni a pt e . 100
  26. ro her fel: 4og 2 +. l0 b. lya
  27. et il semble que c’est dose assez aisée de ondResolvere omnes aequationes in
  28. ( X2+
  29. et X+
  30. lices: AB a A(B) nonbres,
  31. BC. (B) (C) logarithmes. Hoc etiam ex hoc
  32. methodo commodum oritur, quod ita nultiflicationes nullae sunt ipsius in-
  33. cognilae, per linens quasdam, datos, quod anteque more me districtum
  34. tenmerat. Et credo semper simplicibus aequationibus dsubsidiariis resolo
  35. posse formulos in ejismodi factores sim quia facile in factore uno gradus
  36. in feriores resolverntur, et hi rursus facile in tales
  37. V.y
  38. X4 + b X LC X + a dX + . fieri potest incetergi facta ex
  39. X + in et X etc. uisus facta ex x etc. X +. et itro
  40. porro proterea potest hoc modo fieri.
  41. co productumque comparandum deite
  42. b3
  43. +
  44. + CdX. ergo
  45. (3 iC X + afX (5
  46. (5)
  47. formulae
  48. X C X + d e X = dX,
  49. e erica. dp b- c. Ergo X + bx + acH
  50. X3+
  51. BX + ac
  52. X+ 9.
  53. balonemquahatuo
  54. bul
  55. b
  56. XY + b X +aCX +
  57. o retetia supur fante eotieu pope hanc e in fadirs in gritiorem ob oidetur ad agebubican 1
  58. -
  59. a
  60. tC
  61. LX +f er
  62. X + bX + a C X +5) X +dX X+ C
  63. X ..X
  64. aesg 91 a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 14, fol. 19r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068032:0037?run=73