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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 99r

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: 0.83.

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The machine reads it as

  1. sit data aequaitio afferentialis 100 + 10 c + 1ococo +101 deo =0 fiat 6 = 2y +20
  2. et fint +100 +m
  3. 110. 26 + 110. 21y
  4. 120. 2020 12. 10. 20. 217 4 120. 2. 21yy
  5. 101d20 +lothhi y _
  6. + 1DI. 21 dy.
  7. Hic efficiendum tum ut coefficientes
  8. terminorum gu et du habenter se ratio
  9. nem constantem, tum ut destnatur
  10. ut terminus y destiuatur
  11. per prius, eut 120. 21. 210 101. 21 = C seu 21 = 101C : 120 et ut evanescat y
  12. = = 1204101 + 101d120, C :, 120. 10 = = d21 : 27
  13. it fiet 20 = - 110. 120.10 = 101 d1 2oC = 120 dotC, :, 2. 1203, quad si (20 sit
  14. constans, quod in arbitur est fiet 20 = 110. 120 H +101. C, : 2. 120. 120. seu si 120 = 1 fiet
  15. - 20 = 110 + d101 C : 2
  16. aa fdx teyydx + ady (4=0 F dari per X et
  17. sit ergo data aequatio f+gy f+ gyy +esCy F du -0 posit (C esse constantem
  18. quia semper data qualis imtio ad hanc reduci potest. Et assumatur sit
  19. Aemmatur dxpono fdari per sit dx constans, et sumatur dxa dx a
  20. sumatur y= ad v:dx erit f +Cdodo vel y = W, neglectis constantibus, fiet
  21. fiet f + co dvdv: dxdx + a ddv: b = seu adxddo 1 cAvdo + fdxax =a
  22. sipt aa f dxdx + aac dudo + a adv =oseu fdxdx + cdvov + aa ddv =0
  23. Zd ba HB dx + hax = 0, posita h constante, et differentiando
  24. e
  25. fiet dt x + dy de + y ddv + cZ dodo 0 i destrnatur terminus de,
  26. et fiet F aadZ: Cx et dt - adz: Cx
  27. aa
  28. +tcdvax
  29. Assumatur
  30. Multiplicetur a45 per aa: Z et fi Aeq. 5 pest destrnctum terminum do, multiplicetur per ac: Z
  31. siet aa dedx + aa ddo + c qrdo fsxd gaa ddv + cdpdv, 0
  32. et lit dt= f4 dx: aa = (per 7) =aa ddZ: Cdx
  33. fiet cf7 axa + a ddZ =0 Maltiplicetur haec aequatio per r, et fiat
  34. 2
  35. ct YZ du + ardaque ( d(p 1Z) ) a dpaqe 1 a p dtZue efrxtrex ta rdaZue
  36. (
  37. fit r= p et a pdqe CspZdx seu AZ Z fiat p X et prodibit tandem
  38. 7
  39. 1du = c fq Xd seu adz : Z = C fx aX vet a+ ( = C (fxdx
  40. et X dy + edx = 0. Tandemus _ Z = C fdx. X quod non licet
  41. q
  42. Bursus pdque + edx = 0 per 13 sed nondum hinc possum venre
  43. (151) La
  44. ad desideratum. fiat Z= bd Redeamus a
  45. = du = duob
  46. r
  47. (ed y = BV fiet, cf dadx
  48. Fiai 7 = b et du = dn ba et dique = b ddn b tandu b a
  49. s
  50. fiat
  51. et prodit cf exdx + a dem + a duon sed ita recidimus in aequalionem
  52. jontam
  53. non absimilem iatae
  54. (n +m. a fut d7 = (g dn + nag + adm,: a)
  55. et ddzue = (dat an qu (gdn + ndgue F adm) + gddn + n ddque Fiandgs + adam
  56. Taciumus
  57. et protit rC f dxdx + ggdndn + EgnGdgus + nnd gaue + 2 adm g
  58. tagdan
  59. radmndy
  60. + 2dndy
  61. g constans ut tollatur n. sed vides absolubu et duda, et ddu tolli nom pose
  62. taadmam
  63. +a dam
  64. + an ddy

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 99r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0195?run=74