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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 22v

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: 0.76.

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. 23r); this page is its left half.

The machine reads it as

  1. itaque compendi causa aftriab af -r sab
  2. vocemus
  3. aβ
  4. Et ex aq. 1. fiet a) = Aagh + ht dac.
  5. est 95.
  6. aW
  7. af +r vac
  8. a)
  9. af -r tac
  10. aE
  11. Ixog. 2. fit. L au = agh - ht sab = ag. tiab, cha srab
  12. ahistac
  13. b5+ ∞95
  14. Ex aeq. 4 fit aa BC ( qu( ah - 5 aC) - +aa 3 3 (u (ah + 5 ab) = agrt sab, aht s ab, qu ( at - 5 Vac)
  15. Exaequ. 1. fret : aa)
  16. Ex aeq.2 fit
  17. fa
  18. a
  19. = a +d c
  20. h
  21. aa n = a + b
  22. 4ge
  23. paf sac (-aar racrabs= Aaghilam
  24. 4 ibc lac + obc sab
  25. Eodemmodo ex aequ. t et 2 quaeremns +
  26. aaW L 4 agh,: agtu
  27. =aa + 4agh,: Acgh
  28. e
  29. sac = tad
  30. Uit
  31. +acc rab Y Aacgh
  32. atb rb sac
  33. Lacuo -agha): lab. s =
  34. - (2 + 3) tab E + b
  35. vil _aas ab At Taturac - 4agh sab
  36. C
  37. =+ 4 abgh
  38. vac
  39. rab
  40. vel fab (aas- 4agli) + Var saatae ragti)
  41. agic lab + b tac
  42. aaf gagh
  43. e
  44. aghrbc
  45. st- aat
  46. Hbc
  47. (af- 49h lab. laD + artbe
  48. = 4 gh, b dac + C sab = - agh, obe, lab + tac + 4gh Hbc
  49. Hec peracto redeanis ad Hunc Hos valores ipsorum + , et T. d possemus substitutre
  50. determinatio. Sit ob l- +(H = 4am) = Ir + (CNN - 4aK), fiet
  51. Il +. _H) - (3ln = H = (1 -am (+ XV. (D) aK + (2) S(l- aam, AN - 4a X)
  52. agagtac
  53. aa95Yab
  54. ah+Srab
  55. ah -5 sac
  56. Ot + aags vab
  57. EE Caag +at 1ab)
  58. ahu s vac, qu (est tab) art stab, qusel siu.)
  59. a BB (aagah - at ah lac + aa s C) bat saagah + atahiab + ac
  60. V 55
  61. ta95 Vab
  62. seu fiit qus _t = g5) (tab + sac) = (3 (2aagh - 2 at abC + (aht + ag5) (+ab - Vac)
  63. aags, sac
  64. aa BB= aaf- iafrYab -abr
  65. aaEZ- aaff + rafr tac - aCH
  66. o (P. . Apul P lab e plac)
  67. =( (aagh+ a Cst - 4 (ant + ag5) +C) ( poio ht 4 gr L0
  68. -ye (aagh+ abst + Cant Fags) iab p. q r abt fa) Btacts saba as t dact
  69. si faceremus L. + e = 0, seu ht +9p =0 magnafieret calculi contractio
  70. jam ex aequ. 1. erat aa B+rrac = 4aagh + Aa C GE Et ifin. Arg. 2. aaque tabur rasrtab = gaaght q abst fit gaagu= qul afgrtac) -qacC
  71. sin fes prasse atrr t ragritaet ast abrr F rasr vab;in qacabs se ele rai cherteord gs e B)
  72. ohet = (b-c) an +g sr (b sac = C Ab): ga a (b - c)
  73. ficrenim en (lib + hinet: aque = ghre - stet. aequit AA = 4 am Et aep 2. pp = 4 a9
  74. eragrine
  75. c
  76. al +ssab, ah -5Vac, ah + sb, a h- 5 Vac
  77. eetq (aagati Lat atitab = aats Hbe, + aagah - at ahibac - aa st + bc)
  78. Zaagsic
  79. aass-afrrac-arribe
  80. natr sab
  81. a(37 ((augratitab, atrus ac) fang- atrae, al t stab)
  82. inde aamm + Aaa KK () 8 aa mk = asam at) ((t IlHa -llrur ibaa m. H. gatull. ganna
  83. est autem l = aa B: alitstab, et ex = aa Z:, an - s taC, et m = acq+at sab et K = aagu - at Hac
  84. H
  85. aequ.
  86. a
  87. in aeq. G, et habebitur buvalor ipsius gh per r et 5. Inde etium hoec tollentur ex 7. 6.
  88. sed quoniam has contractiones adhibui, tentare volo an non liceat sumplicite
  89. Edhibere N = D sine divulsioneque ita enim minus minor adhibita erit
  90. ah +stab, ah - 5Yac
  91. quslangu t at aniat aastibe f. aagat, + at ab la (L aat. t ibc
  92. et divisis omnibus per 4, fit qu (M- K) = l_ (mt L) = KI = M AN
  93. etfirt ((aa g + at Yab, ah - 5 raC) = (a ag - at tac; Mah +5 tab))
  94. qu
  95. etfiat snd sublalisfractio ib
  96. a
  97. seu
  98. nempe fiet

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 22v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0044?run=74