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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 177v

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: 0.86.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. ax: X
  2. ay. des
  3. An sic:
  4. 2
  5. y: a = Sddz: dx et X. a = deod du fiet dy. ix = do: dz
  6. X: a = fddZ: d dv et ag: dx = 1 dv. de. sit aequatio data
  7. dy: dx= Xx + gy,: aa fiet doidque ) qulogue + qu sddz: di, et diffecentrando
  8. sies deo lzado - dvaaz. ugaqu A ladZ. du ) logz B Bellera (alz. do) g - gulou des)
  9. dez: 1V
  10. ddbo, et sola uan et dazue, et sola manebit deo, 4x
  11. du et log. d7, sed ita non pervenitur ad
  12. Quadraturas, et sine illis datur deo per d3 adeeque y et xper y
  13. deo, dd
  14. quod non licet
  15. quid sit si sit
  16. habebiturae
  17. A ded per ddzue, dz et logq. seu per quadraturas
  18. pro 1Z for dz: deo pouas D. a sit d = aZ deo, fi
  19. dex _: du = d7 (3 ddz d = (3de daz - (3 aZ ) deo ddz,: d2 d2
  20. seu S cosola)-quogdq degutu, que Z + )dco; dia z dd Z
  21. evanescet ddu, et restabit solum
  22. relatio inter deo du et logdz seu int
  23. deo habebitur dZ, ergo et X, et y sine aliis quadraturis
  24. Aequatio autem 6, est ex numero quadralorre
  25. quod non licet
  26. heterogenearum, quas tractare per quadrituras non
  27. logZ dividu dZ dds dodir quod est dloques dvdx
  28. qjiatex parlibs
  29. licet ix oquio fiet
  30. et dodaque est - dv da
  31. Edazue dedu
  32. dedZ
  33. 2’adque 2de dz
  34. et= bl9 (+)
  35. dy diz
  36. 2
  37. alogae az a2
  38. et fit a logdi dodo Avde-dologz = ( do =qu log Z
  39. Ponamus log do lo non licel facere log dys consan
  40. dz
  41. dlogdzu deaz azdzue d
  42. tem seu dav iv =0. nam fiertt et de coustans sed ila foret xia = d Z o
  43. a
  44. non licet
  45. log du, sit
  46. et dux: dxa foret =1, quod
  47. logdo- logdque ita tolli quide
  48. log (dv: dZe) = log de = logdz et du: dy-
  49. potest do: du reducique omnia, ad A loqudo et loque dz et horum
  50. dea logde pronstanti quaem tunc
  51. differentias
  52. posset tolli togde logdz et reduci omnia ad atque, den, dz, do ger
  53. a logdz
  54. ud videtur res vetari ob rationem paginae praecedentis quia ita
  55. sit aquatio deddzue = doddv + dZ ddv feret Z + dn = 0.
  56. nimium praestatur
  57. et daZ = dd H = 0

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 177v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0354?run=74