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Leibniz-Handschriften zur Mathematik LH 35, 3 A 1, fol. 2r

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: 0.77.

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. 1v); this page is its right half.

The machine reads it as

  1. ut absolvamus sit aequatio.
  2. et tabe + a)) Bv. fier: C + ab e + a a P- 4 a1
  3. sive e + at SaD 4a sive e ⊓ Ya D= 4421 = ad et e Y saeb al - ad
  4. ubi manifestum est, ut valor, hic sit possibilis necesse esse, ut vel A sit cgrantitas negativa quo casa
  5. res semper procedt si major unitite. vel si a regati ae affirma dva mnot quam B
  6. func si D est negatin res semper succedit Quoniam d non nisi ultimum temium A ingreditur
  7. hinc nihil possiumus in B, ac nequidem semper licet velimus poterimus R reddere negatiolum.
  8. Uolit dicalu gdo so enorem
  9. pone 4 bphol mn
  10. jam pone +b +d,0. erit bp - d. et bd, d
  11. ac- d’ quantitas negativa, esse debet
  12. Rem numeris experiri utile ert: sit aequatio: XX +a
  13. X + bX + ac
  14. +
  15. X3 + b X + ac X
  16. X + d
  17. 1 d.. + bd. + dac
  18. ac(d13d, dev 27 ( + 12acd 4
  19. sives bu aba. d est major quam ac, et cubus ab a d= ac major quad a dac
  20. e
  21. et quod facili fit sumendo d pro mibituo magnam esto dp1C, et ap 1. et Cp _. fret: 0= ac, 96132
  22. cujus cubus 32768, rum daC 48 p 20. cdius quad. 100 pel pone dej. erit dr acp 29
  23. 102
  24. et cubus
  25. 1P
  26. 15
  27. vis
  28. 1128
  29. 225
  30. aequatio ergo erit:
  31. it
  32. quad. a dac, seu a 14, tempe 196.
  33. X2X - 1SaX + 14 a, et de 7 ergo Xponipoest: ps- y
  34. 35 aq Anum + 7 1517 14. X
  35. 14b 343 sumamus aliud exemplum. in quo numeri non adeo magni, nempe:
  36. 19
  37. 337.
  38. 105 d 3 c, 3. ergo d a5, D - 3, dB.t. C1. unde d- ac, 16 5
  39. XC nam -64 X + (15, 4) + 4 1 c.
  40. et dac 4 2.
  41. proxponatur cd, ut supra
  42. audices
  43. Aequalionti cug b4 X =a15M4 a An p0. mulliplicems per 2b 2
  44. 60
  45. 4Cd e _
  46. fiei.
  47. V. mnt (6a60
  48. 1tX 1 164
  49. 3639V,
  50. 262y a 4n,0 muttipilicetur pereyse
  51. ab 16 - a 15m 3 P 4V = a an 2Y
  52. t
  53. tre
  54. X
  55. + 2a15m 2b .. + 2ea 4n
  56. =aang y +nea an B.
  57. + 120 a 13m ..
  58. 2 ponemus act Z t ae H 2 Y, tic unde.
  59. e 2Z
  60. et
  61. M
  62. 12
  63. a2
  64. 2048
  65. 3072
  66. sive:
  67. (2768
  68. = aism a
  69. 163 -1 8)
  70. cujus aequationis ut tollatur ptertuitm
  71. ponemus
  72. BIBLIOTHBCA
  73. X qua X a X
  74. tb
  75. ua
  76. NOreI
  77. (D

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 1, fol. 2r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068214:0003?run=74