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Leibniz-Handschriften zur Mathematik LH 35, 4, 2, fol. 1v

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: 0.71.

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. 2r); this page is its left half.

The machine reads it as

  1. Esto esto X+ Q y +d. iict Ey + F X+ C, ap0.
  2. =ehil - βab- +9) Eoteg. 1
  3. yl
  4. Esto item x + by + d
  5. 1 Zy+ 2xFBC C
  6. C - bDβ Ah β ge) Absoluta Multiplicatione componantur inter se, fiet:
  7. 1
  8. PyX +5 X , get yt ex X + geY y ed)
  9. a
  10. se
  11. Bh n
  12. I
  13. Pab ..
  14. 1 ab .. + b481.
  15. sMyX +s X 1s 1
  16. tap. .. +a
  17. 1β..
  18. fd) .. + dcY . + bsβ
  19. + DB. + bBβ
  20. 2
  21. tade Ats.
  22. Quae Aequatio conferenda
  23. cum proposita:
  24. pX 1Z a y 1 Y)
  25. + 1 1 14. +aβ..
  26. onferantur singuli Termini singulis respondentibus, fi
  27. CB fM + aB m - f9γ = Bhl = Bab
  28. )
  29. Aeq. 1
  30. Maltiplicntes ipsius X, sunt utrobique iidem, quare collatione non est opus.
  31. Jam conferantur Mliplicantes ipsius y, et habebitur aequatio collatitia, quae
  32. dabit valorem ipsius n talem:
  33. t
  34. Fyn + aβn - 9cY
  35. Aeq. 2
  36. Sed quia Valo iste ipeius haeucontinet C. et vessum vicissim valor ipsius c, continet h
  37. bβ
  38. opus est explicatione iporus C net fiet
  39. fVn + aBn, = 97
  40. sive h fVul + apnyln
  41. 0.
  42. - shl.
  43. = Bhl -..-
  44. EPXI
  45. sive hbB)I - h β9γl. fV ut + a puyl -gy...
  46. Aeq. 3
  47. Aeg. 4
  48. Aeq. 5
  49. hfy SVnt raent - 9f)m-gapm + 97Y + gBab Ai 6
  50. be Cd 1bB =9B
  51. Collatione Multiplicantium X. haberi potest valor ipsius e, idque eo
  52. Ex X
  53. facilius, quod in valore illo neque C neque n. continentur exerit
  54. e A
  55. Ex y fiet: d H
  56. Expicano e, ser d
  57. fVp + aβp = 1f dγ L OB1 - adB
  58. 574
  59. 5N4
  60. + aBtq ge) - bdB - Ahβ
  61. C)
  62. + aBg. - bDβ- Ahβ,
  63. C sVaL + aBq
  64. sive dF)
  65. 5V4l + aB9l
  66. Fmx x mogineorum, et fier:
  67. pr S1 aC, maltipticata, Nempequs
  68. 0
  69. Ac primum per collationem Multiplicanitium VX, quaeramus valorem ipsius, C fiet
  70. per XXAcq. XX.
  71. Ex aq. y. V
  72. 1-
  73. h r
  74. c
  75. Aeg.
  76. Aeg. 8
  77. =g....... - fd) ..v. Ay.9.
  78. -b8B1 - Ah BI, -g ... .... . -, + f dVg derpito initio factiasu trex tris. DX sC t X a rempa s yX + X + FX F
  79. = b0β1 - atie1 A(). gap P +gBCl + ga d ( N, 1. Sedaec Al, quia it t fieret iifimtatu quemitanea posnienus infirite parvum
  80. Ert - 5Y9
  81. lia

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 2, fol. 1v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00067997:0002?run=73