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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, 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: 0.74.

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. sit jam q aequ _ m. sit lZ aequ n lm seu fit
  2. E aequ. n sIm. si jam m sit quantitas constans, eut
  3. erit. dZ aqu dn lm aequ dz:
  4. sit jam Z aequ m et W aequ Y m nit du lmaequ dz: M et
  5. -dn ln aequ. du. m s _ Ergo dZ aequ an Im M et duaego du lm n
  6. sit jam X aequZ+ W et _( M aegu. +
  7. V
  8. 12
  9. et n aequ. 329
  10. et: de dn aequ. dy: qo et du + di aequdx.
  11. 1+ Su
  12. Ergo habenus dx aequ. 1-
  13. dy
  14. V2 3
  15. is
  16. 12
  17. +S
  18. 12
  19. si faca eligamus posteriorem expressionem ipsius X quae etiam est
  20. aptior, ubi habetur tam 1+ V-t quam 1 - S-1. Ret
  21. taciemus q aequ m et W aequ h. et y+ Waegt.
  22. et N aequo y: q, et m aequ. 1t sa et haequ 1= f-1
  23. (2
  24. 12
  25. 2
  26. et fiet dZ aequ du: lm. m et du aequ du. Ih. h
  27. est autem dy du aequ dy: 9 et dx aequ dz + d N.
  28. Ergor fiet 4
  29. quoniam
  30. de
  31. aequ.
  32. dy
  33. l.1+-P= EI2 (0)Ss
  34. Il s2
  35. 1+ s1 in + ut F 1- S.1 facit 2 Hinc 1- s-1 aequ=
  36. et loqs 1- s-1 seu l1 - s-1 aequ l2 = l1 + s-1
  37. scribi potest
  38. vel
  39. EX
  40. dy
  41. aego
  42. l1+ s lqe Cy I et Sac
  43. 1+ 8at = = 12
  44. y1. 1tS
  45. se
  46. 12
  47. y
  48. 4
  49. 1- Lat
  50. se
  51. +
  52. .Ergo et
  53. l. +s+ LI2
  54. 1+S-1
  55. sit jam yaequ 9. fiet dx aqu lig s. 1- t S. 2. Posito ergo quadratura leu
  56. dys
  57. in hoc casu speciali, et existente dx hoc cafh aeg. 9
  58. 19
  59. habita tangente lineae sinuum
  60. dy
  61. fiet 49: s.2 aequ l1+ s-1 = L2. licebit ergo amatri logarithmum ipsius

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 59v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0118?run=74