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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 110r

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: 0.78.

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The machine reads it as

  1. ux
  2. Wtlvr ao vvtlo + l = ill-am fit
  3. D = - =l+ IC Zu- aM) Hinc formulae
  4. Wotlo +at; radices sunt .+ se H- ab)
  5. V+ l - Y (a ll- at) et v+ El + (=l - aH))
  6. sint adhuc alia formula ve + + a=
  7. ejus radices erunt eodem mod
  8. v + L2 - sC 4 A - a) et v+ =A + A( N aui
  9. sint rursus aliae binae formulae
  10. vo + p0+ aq rujus radices sunt
  11. V + Ep - (app - aq et v+ p + X ( pp -a9)
  12. et vo + nV F aK. 2 cujus radices sunt
  13. V+ LH- H (ZIH - aK) et v + 1 + Y(= HT - aH)
  14. e
  15. sit l + ( Ell - am) = = A - V (+) a p)
  16. sruvC afentab L
  17. 2,h+ tab
  18. ganperrab +2aty fab
  19. Ahh4+ ab + 2htat.
  20. 6, at er ab hatsirrabtrafrtab- Taagt. athlab, -t atabis
  21. 2 h+dab
  22. D =4 aagrab
  23. ag. at rsab (ansgerrab - 2afr Lb- Tangh. + 4ath fal. =atab,
  24. 2, h F h- Vab
  25. amglab
  26. seu aequentur v+Ll- K(Zll- am) et v + L VNai)
  27. ultiplicetur et dividatur prins lasusper h. dab
  28. et posterius per h+tabre fiet
  29. saff aftab - rab =fsaatf, aagh 2a fir ) (ab) A
  30. Atr Tab
  31. sequ.
  32. =gaag
  33. rrat 4atab
  34. (aast - 4aagh = 2asr tab
  35. =tir sab trab + rrab- gatab + 4ath
  36. +4aa90
  37. afhisastab,
  38. Ed 2B
  39. Similits est aequatio pro ab ponendo aC I- 3
  40. fiat prontraque calculus notabiliter contrahetur, se
  41. fiat aag+4 th- 2fY =0, valebit enais
  42. aequationis utroque latere sed lidea hoc non
  43. vicent, firiet enim O D = A = O+ D
  44. Ueoque (3 = D. qu 4 -h = t 4 seu 2 =t
  45. poterit simils
  46. sed olesee
  47. a
  48. quetri
  49. po ab substituendo a
  50. =Y(ZN -aK) a
  51. et plileo vistitu
  52. quatio ub
  53. (PV+ =l= Y(LHI- am)= v + =RH (EN - aX)
  54. Rocta aequatia nova
  55. ltret
  56. utaque modo extractio fieri et formulatu duplicata
  57. mo ab ponamus dd. et pro ec ponamque ee, ob 4=h
  58. solum radici involuta manet.
  59. fint Chrrod- rafhrdd + aafsddera qua
  60. C+ 2a tr d- 2hrro3 rreD- rafrhd -4at B
  61. +4athudd
  62. hhrr rafrh + aaf = (2aprh- 4at dd + gathh
  63. rdhir +2afid t-htri raats+ ratro- 2brrd
  64. ea. lih - dd
  65. Sed similit f- hhrra oafstragre-Lhrre, qui duo ipsius t valor
  66. aa, hh - et
  67. debent aequari
  68. siat (seret hhaas hhragro hhlrrd- eehticeaat- ex af
  69. vertirro GarrthnaatEehhratrehh2hro-dd thrr-
  70. duaat doratre +dd2urre baec quato dividipolus
  71. per C= 8, it nab. bitur velaero intor , 5.F f,h,
  72. 1
  73. superest adhac una aequatio

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 110r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0219?run=74