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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 16v

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: 0.79.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. s
  2. vy aydy ta aβ dy + Vydx + aB dx =0 multipli.
  3. cemus per hyytanut aan, fiet rete sane
  4. ascendemus rasus nimis alte nempl ad yhaqu quod est sine suo
  5. itaque hac ferae tpartculae fiant
  6. at partes aequationis compares fiant, summabiles
  7. ompare 1t
  8. hic nou sufficit sed si assumamus gy hyy+ anst aan =0 et
  9. fiat yudh + 2hydus tamdus +ayam taaan 0 ejus multiplicatae
  10. per ad, addatur ejus sumnia multiplicata per pdus 4 gax fiet
  11. hPYydy +ampydy + aanpau thayylx + amquax Laangdx 2 -0
  12. teach yydu tamaq taa yndh ta isam +atan
  13. sit aequatio data asydu + a Bay +V dx + ab dx =0 quae multiplicea
  14. tur per ayhrp: a+ar, et fiet
  15. hpyydy + hB β ydus + aar Bdy + hBVygax + hpBycx
  16. ie
  17. +arvyax + aaordx
  18. identificando, fit ra perame est enise et ex jydo fit
  19. radr idque
  20. sp-aat a Y fit in Exdyfit
  21. noa
  22. sae non diferentiantur
  23. et ex ydy fas r- amprraah tp Biaa
  24. inveniam primum D, qY quia
  25. racteon, ex dy fit Y = np + am;. B
  26. adeoque fit aanB + am = aBmp + 244β
  27. sit r= n nodx + aa dn g: bax ado
  28. Bngdxt aaBdn
  29. Ex yl
  30. priore fit P = ZaaBh - aM∞:C
  31. exposteriore fit 9 = npB dx tam Bdx
  32. Rursus Exgyax fit 4- hpH a
  33. alinpodx+ aahmddx ahBdn
  34. adeoque b= aaptimaxta Bndh BBhan
  35. itaque habemus aequationem ex duabus
  36. qua a h, m, n assurmunt ad
  37. superest aequatio ex y dxiubis substitnem
  38. autem
  39. sine p. se tac
  40. L
  41. sida A Y- an B et
  42. sed rura g2 pibau easdn Ba
  43. q a
  44. eiu duos ipsius quatores aequando sal
  45. rectat aequatio
  46. p=d, video gia ex
  47. dat a_: Ra
  48. paulis prolixior, nec salis
  49. Si
  50. at aequalto absa
  51. fit aldy: y copalimus- adan
  52. + jam + a dn
  53. sit ab AmB et
  54. in line pay. praced. dia
  55. etvebet essezax
  56. ggennus, s et uu
  57. apan + andp = utm
  58. nex
  59. a et rursus exax
  60. nd ex tam bex
  61. u En
  62. aan + BBh- aBm
  63. aa Bdn: Bndu
  64. latax. Unde
  65. CBhnp)do- aBndh
  66. in Bhtivax- annodus
  67. valoribus ipsius p, in
  68. quadratum.
  69. ralores 9, Y et P prius
  70. enthennana fieret
  71. esthc adeoque YL 2h
  72. seu g. 2B hbex aadn: nax
  73. gan Lrlinpax pahan
  74. a B+6+ EahaB aYhVdX
  75. mrovime pracadentes dabitur
  76. s
  77. evanesere
  78. restat fit calluu
  79. +mi +an-. unefferentiando
  80. uvan suclessum
  81. e
  82. +m dy -0 seu aldus- fll: ) ingy- l: Dan Hitab
  83. a rudnt ayem
  84. sim data agamgag mBau +myydx mbga
  85. adereamaem dur t aneniax
  86. p
  87. devidaturae quatio peoducta per ns
  88. ponel iptris angrem prbgaru
  89. seu datur nim sed misus fre
  90. Wmux +nzax, fit aanin t adpop = lohmax
  91. ta
  92. aa

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 16v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0032?run=74