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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 159v

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.

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. 158r); this page is its left half.

The machine reads it as

  1. sit quadiatus seu
  2. Incipiomus denuo et (facimmus B = 7 firt L NA = am seu aa ss. + 2afr ac Z 4 ahag + 4 aht Yac
  3. a5tac + 4a95 tac
  4. Rarous sit D quadratus sen h= B sit gp = aq seu tanf A rafriabo = tahaq. = + alita ab
  5. ( et subtrahendo uem aequationem abalia, fill.
  6. 24stab - 4ag5t ab
  7. arrib.). = a ast (b-c) = 2afr (Vab trac) A(aht + ag5) (Vab + Sa c)
  8. et divident toium per fab + sac, fiet (rC- 45t) (tab. sac)= rafY= Aaht - Aag5
  9. uaerenda jam est adhuc una aequtio. Et quaeritur primum an liceat procedere
  10. ad huc semel eodem modo, et facere quadrahs seu 3 = D fieret . ZHA - aK =0
  11. seu taas eragrtac surahaque =aat lac
  12. +taC = 4ag5ac
  13. et ex aeq. 1a fint 4afr sac = 8aht + gag5, et fieret
  14. unde fint
  15. 2t
  16. Fr= 2h+ + 295
  17. SWvatrasst + aa +
  18. fenique ex aeq. 2 et 4 firt La arrib . C) - 45t (b. c) = 2afY (Y ab = YaC) = Naht + ag5) () ab + Vac)
  19. frZ 2hF 14, 295 per 14.5
  20. arr(b - c) - 4 a5+ (b- c) per aeg. 6. fint
  21. itaque non licet sa 2= DC, vel, 5, 4 3 adeoque non licet procedere
  22. imo mec hoclicet, et alia cheiu cexreheni non possep
  23. ad raequationem 4. sed faciamus ex diversis
  24. fiit l - VCH - 4am) = r + Is (nn = AaK) siu (HLY rEB - 2L E = (H + AM - gam - Aa K + 2 D (H. can y p. 4a b
  25. seu quamm. Fa aakK (H3) aatm _ = 4 alm M = 4 al VIK (F l HH) St ILHN. R - allak
  26. seu a qu (MGK)
  27. LrK. alK = Gum
  28. si etet H=HF, sed, ut = L, fieret a (m+K)
  29. ob A= - L fut
  30. m- K = a, qertat
  31. +16aa MK) =ANtam
  32. Htmpa ag. N = ita dividamas in
  33. at +rsac = at ty tab ph s ut er ) at. 2s
  34. ost fi
  35. nfiat I= BN = 4a L et HN =l- gam
  36. an 5tac ab+ stab similiter explic t + F) ull
  37. +aa, 49+ + + ab. ag- tsac=aa suagati) ant ab - a 5t ibc
  38. ntsi
  39. an +5 rab
  40. ah - SNac
  41. 95 ac (+ ast 1bc)
  42. Cagan Kags vab
  43. seu m-K = , (ht - 95) (sab. + Jac), : atits fab, an s ant vac
  44. m+K, aa,
  45. M+KCO
  46. Pagati + anit tab
  47. =ags ac - astibe
  48. agati =att sac
  49. is aha silab abi-siac
  50. +agsrab = astibc,
  51. seu mok =a, ragh - 2ast lbc + (ht + 95) (tab - tac)
  52. 3:, aahhe albilar.
  53. etab + tac = (3
  54. Vab - Hac = Y
  55. an +3 lab,s ab - 5 tac
  56. In = aa, afaf -afa ibC: at +5 ab, an - 5uac. Ergo ex aeq. 4 novisima, siet
  57. a qu (ht -95) β3B, an YFab, ah. siac = afArab, af rtac, a, ragh- rac t bc +(ht. + 9e) H.
  58. + Yat vab
  59. set ingens compendrumt
  60. Taq qu (astr tab) aa (ag - F 1ab)
  61. ecidramus etiam an ex. 1 et 2 additis in unum fiat aequatio brevior al terntia, ut ex subtractione 8q. 3
  62. = na du (af -r Vac) aa (ag+ L Vab)
  63. fiet 2aaff + ax r (bAC) - gafir (fab- sac) = _ aatiqua +Stabb +C) +aht ()ab - dac), seu fiet
  64. 2aa (+ hgH) + queet (a(bFC) (45t - H) +B a (lab - Yac) (fr - 3ht -95) = 0
  65. A. aequam tamen calculum prolixum aequationis a et inde dedudae 5, evolvamus, tentemus compendium, ponendus, m- K~0
  66. enam FK, et quia posum potudm El = all -am) = L + V (L NH = UK), fiet utique
  67. ( l + HH)- ZIH = (L HH + - am 2 l -am, = am), seu L Unr cn D + anamm = = las - q aml
  68. Taassim = LamXM
  69. seu U + AN = sal X ut supra .7. sed ila fiot l = H et adeo C = E cntra quod nolim
  70. quid ergo si faciumus m. + K = firet aaum = exaeg. 4, aamm = FllM = ATM, seu M = U-AM1. 4a
  71. et K = HI - l: 4a : ob mK=0 finc ag F t ab R, an - staq = Flac - ag, an +5sab
  72. aaato ah ag+gh tiab = agstac = est rbc = AA tac = ab ag + latsHbC = a95 tab, seu fiet
  73. raahus + o e - 2 a5t sbc + abt ( ab - fac) + ag5 sect in hacaequ. absunt f et Y
  74. superest iaquatio l - BA = Qam et explicanto
  75. tist at Cant aberta entatis audn abslac A aerq sab, at e+ tab, phaeda
  76. Merva, Caass t abrr + rafritab) (actin + assc = 2ah5 saC) =(aaff dac rY Lasr Lac) Caana + ab 5s L 2 ans bab) id
  77. 1ra, ad + lab, ab +., aalil + asse m 2als vac
  78. phas dibri8 pen o qu Hop lidi. sit
  79. Ar YY L ASt et ex ex 5et 6, tollendo t, sieb fX = 2k(rY: 45) F295 seubs rsrs- tirr, 2gB
  80. sud hactenus calgulam non intrant b et e
  81. et quia puanescit
  82. quod non licet
  83. Itaque n lo
  84. u habereda
  85. nem

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 159v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0318?run=74