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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 93r

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: 0.81.

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The machine reads it as

  1. videamus ergo an assumendo aβZ: c (av. dZ)
  2. liceat sic explicare dB, Z V, ut prodeat inde aequalio
  3. differentialis data dy: dx = YiX
  4. sed vix quicquo
  5. proderit, eam ex dβZ. Cdo-d2) potest fieri dβ. cd da
  6. et cdZZ potess fieri dis et cdv. Z= dE
  7. sit AM, m MB sit n de= Namam + da dn)
  8. DC n
  9. H Essend B) VA = dl. p
  10. VEZ VYC BBeE. Ergo VE. VE = 2E: 2B5 Ego dB = c
  11. d fit _ Vst d Ex dBZ: c (dZ- dv) = 0
  12. fit. 5Namam +dnan) VA: du): c (AZ = itom an +lnda)) = C
  13. dx dy indx = Xx tyy: aa
  14. du An(dmdm + dn ln) = di
  15. . ax (Xx+yy) 2+
  16. fet die Dt(duc a
  17. ZaN VN : CdufeZ - 11) =
  18. sit _ VA = dque Z
  19. dy y d
  20. dC dZ
  21. l
  22. C
  23. v = dn a n, et fiet
  24. posito O=1
  25. =0, c d 1Z- c n’dn e
  26. 2,
  27. n
  28. cy q
  29. OC
  30. qe dz =dc n du
  31. den dn: de
  32. e
  33. Hinc video etiam nnc
  34. nocere etsi uuc pars
  35. seu si esset at= n,
  36. ro, c
  37. et inino demd n rec et 2 jen q quadraeorae
  38. an ila res proccederet quolies
  39. dZ
  40. aequ oator doferentialm
  41. valor ratins inter differentales constaret ex duabus partibus
  42. una relata ad unam incognitam, altera ad ulterem
  43. Esto ergo dn: d7 - - XE nn + ZZ
  44. aa
  45. Ergo V = dz, - cZ. aa
  46. aa
  47. euit n = aa et 3= - c2
  48. rin
  49. non est in uta prefacere
  50. aa
  51. et do= du aa: nn = mam + dn dn
  52. et curva
  53. G)
  54. atq adeo iq habemints poqequ eissuque
  55. imo a non expriuit solio mobicis porgequ seispu
  56. ergo habetur et am
  57. non procedum ista,
  58. esse 1
  59. e
  60. Avia de D. huni s d et pro aque 2 sum pt
  61. e
  62. 5
  63. te
  64. curva BB. Et processus regulae
  65. mobili in regula simulus regulae unilus verliginatio
  66. Dum ergo evolvitur
  67. C. motus aneularis debite inter se regantur, nempe
  68. dy et dβ vel VS. idem foret acdiviatur
  69. idem foret, etiamsi valor ipsius an mullipliceretur per aliquid
  70. formatum factum ex solo, n, vel ex solos, vil ex per productum ex dudeus talibus
  71. d
  72. lu si esset
  73. ani dze =
  74. 67 Revera hitir
  75. sit ex mero n si placet,
  76. modo una fais tantum
  77. altera ex duabus protucta
  78. a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 93r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0185?run=74