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Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 36v

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: 0.73.

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. 35r); this page is its left half.

The machine reads it as

  1. ou
  2. D= ayy +by + c3
  3. OO = aa G + 241+ 2027.
  4. x V yy+ 2lb ey +c
  5. sit rurtu O0= Hi + n9 + nt gy + p +44
  6. quos duos ipsius OC identificando, fit
  7. 18 (5)
  8. - podb et fiet 2n b - 2b = mp a = +h c=(+ bb = n: 2A bb = p:
  9. Ex aequ per 1 fit bb = + m3: 2h Et ex 4 per 2 fit bb = pp: 29. Quos duos valores
  10. aequando sit + m q = B(+) hB
  11. +et +(+) 2h9_ + (+) mp: 4hq = nt seu 8 hhg. + m p = + (+) + hn q
  12. Et exys sit et fit p: M= + (4) P: h. Et ex 6 fit n = + (+) 8hhqe + M p : 4 hq
  13. (
  14. ( iam x = ey+ F,g et ponamus eet esse O = sec X + fX + g, fat -Y
  15. fet CD = ee d + 5+ sit ,
  16. 2
  17. uum
  18. 24
  19. pC = ce ry + eer Hy+ Seerrf gy + 4 eer fy + ee 5 = ec bae
  20. = yn +2ty at
  21. frr. 425tyrF +f rrtt
  22. nefer asrt
  23. 1496t
  24. it s m
  25. 1692
  26. +25r+2
  27. +23
  28. + 4 g+
  29. +
  30. 126
  31. Aliter sit AX = L LirVy+5y+F et fit eex et X = y + r Sy = inity
  32. Sit C = L cex + feX + g
  33. et fin 00 = eet eer a reerrsy + vemt yy
  34. +ec 56.. + 2ue 5F y + eet
  35. + strr . +f25. +ft
  36. +d
  37. 00
  38. hhb = my + ny + p y + q
  39. 143
  40. + 5 3 + 25ty+ 1
  41. seu
  42. itique ut hoc formula ipsius C0 aequetur quadrato, debet esse +p h Lm seu p hh = M 9
  43. rec 5F eer + 5 cer = 4 ct 5 L Herrreeses5 -(Aercet +5P+9
  44. ergo habet S pure, et in valore ejus ab est Y. Si faciamus. + - 0. fiet 5 = + (+) (t Deg
  45. Et n = - + e96 + 5 er _ jam reh q = + (+) 8tihque + mp
  46. et fiit (1 errg, eg + ferr R = + (+) 3(CC r G + 2e (erD 5 f5
  47. seu 205 + 25 rr9 = + (4) 8rg + 2ef
  48. bec A = m eabb Z n b: rC cu pert fit C= n bb- V: m
  49. 1
  50. Ex postremo ex termino ni, fiet
  51. o
  52. itaque habetur YV, seu esuer
  53. O_- rruy etsy 152
  54. posito coefficientes ingolvere X ut cuneue
  55. F Qvia dy: dx = lmy + ny ete, :, P+qy + ryy, Mt, (semper selvi pd per meras quadrotuas ationales
  56. sine si mo absit quaesita qua semper titer psse videtur. hunc oidemus an quadraturae irahorales, sed purat
  57. um
  58. ces uno pales onti paras seu ad dictam
  59. en
  60. 2. ∞ vic ut liceat ex 1 - X exta
  61. is ex tart tantum 2 stmpay. sost preite aquar
  62. quadato, adnbit eoutem nova cum v siii minus poterit forte res ob Ct septrononibus; et spes et set fera di ett det
  63. ona
  64. Eadicem. Si in valore resiuse C X vel saltem ejus denonm
  65. orquationes differentiales nihio miles possint redum
  66. s Ex. g. do = X.∞, - x. faciamus X
  67. assumi prissunt indeter manto i jus quodrato equari diti
  68. Meue pr peciom mon. una per hafimas aneas sesti s a quid nont po deterrum ale nm ylara Circ H Hy

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 36v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068049:0072?run=73