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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 13r

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: 0.84.

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. 12v); this page is its right half.

The machine reads it as

  1. An siC. O() ex X: a et y: a, et dy: dX. F
  2. 2
  3. _ y: a _ (ddo: dZ
  4. et x: a (3) dv: dz quibus
  5. et ily: dx (4) dZ ddv: d7 ddv - doddze quibus substa vatoribus
  6. substitulis in aeq. 1 prodit aeq. 15) in qua sdav: dZe, et dv: d2
  7. et adv: daz.
  8. de ( (dv (ddid Z
  9. 2
  10. Esto de per du et (ddv: dz verb. gi
  11. et 0)6) divo (ddv: d3 + davdv: dZ
  12. sed ita ruo nil lucramur
  13. (ddv:7 ex de: dz
  14. nam habetur jam turt
  15. 01.ex X: a, y: a, dy: dx
  16. An ergo sic meluis
  17. V: a (2) fddz: dz X: a(3- v: di
  18. dy: dx ()d Z ddz: dzdav - v daz quibus valoribus substitulis
  19. fiet ag. (5) in qua adz: dz et dv: dz, et ddvi ddu
  20. aq 6) in qua _ az, do, ddque ddv, d3Z. dv.
  21. lG. 4. 1
  22. eamus difeentrandu
  23. (7) ex e do et dz et fddv: dZ
  24. 2
  25. ila eoiatur n rujus deferentcatione oc ab surda consequentia
  26. constans
  27. sit de
  28. verum, ta eliam non possunt tolli simul de, et du
  29. ex aq. 6.
  30. An sic:
  31. y: a
  32. 2) Sddz: dz
  33. X: a B) Sddz: dv
  34. substituantur hi valores in aeq.
  35. et differentia ado prodit 6q.(5. hanc differentiando tollamus
  36. Yea dy: dx (dv: dus
  37. (adZ: do prodit aeq. 6, in qua (adz: dz, dvi dz
  38. Jam ponamus excogitari
  39. ipsius de valorem Talem, at prodeat aequatio nequae in qua
  40. o et ddv: ddZ
  41. et
  42. ddv: ddZ
  43. e
  44. divisione evaneseat, et supererit sed nec hoc
  45. licet dabitur
  46. engm retatio inter 5dtZ: dz et dv: de
  47. de sildze :d7 + de 5ddv: dv b fit adzue sZ: 1Z
  48. ddZ Sdaz: d2 + deZue + ddr (ddv: dv + ddo fiet
  49. si esset constans
  50. ddv: daz
  51. adZ (1+ loqez
  52. 1+Sadz: dz,: 1 + Sddv: dv
  53. seu fit
  54. = ddv (1+ log dx). hiac datur dz et dee per de 7(9
  55. 18)
  56. 1ot
  57. cduz: des et scavido sollatur (ddv: do differentiando
  58. et
  59. 59. (11) in qua AZ, do dez, ddv, (adz: d cujus ape
  60. quarum
  61. et
  62. C
  63. de
  64. haberiuo sadz: dque ex 4g. b habebiliue aeq. in qua dque, do eaque ado E
  65. +
  66. tolle
  67. quae sumtmabilis

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 13r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0025?run=74