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Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, 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: 0.76.

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. 15r); this page is its left half.

The machine reads it as

  1. Duos invenire Tubos, quorum summa Cubus.
  2. XB X + 3X y + X +(y)Be +3Cy + dey +(Y
  3. X+
  4. ae Pone Xp es fiet e5 e + 3Cy + 2Cy sive
  5. f e He + 3CY + 3 y. sive 5 - 113. 62
  6. Unde + e + C 1 +
  7. ses
  8. C
  9. Sise yet- 28 ane 8 +3 +E es..
  10. 1
  11. sive yp Aes 45d + =B Ponendo 5p2.
  12. 1
  13. fier y r E E. Ergo ponendo + p-. fet vp +e
  14. Ergo sumta eB1. erit X p E. B VA L. Quorum abi 1
  15. sive bd Error in calculo
  16. Unde 452 (a3 + 3(). B a
  17. e H E + ey + y
  18. 12(3
  19. 64
  20. Ergo +C +y e f 45- D Ergo ponendo 5p2. fiet:
  21. 1213
  22. 1C + v E. Et ideo ponenda F p -. fietque y r e
  23. Ergo Sumendo _er F. fiet X p L. et cubus ab Xp, 1. cubus ab yC. 1
  24. Summa cuborum 0. Y cubo ab y + e, nempe p cubo a 0
  25. Sed ut in aliis numeris habeamus solutionem, quaerendus est
  26. cubus, qui ita ex radix proposita fiat ratio nalis:
  27. alis
  28. nempe: 45 - B 12dl loco 12d pove vlp 24fg+ 9
  29. pone pu 24fgl )- P fiet: 5N 249
  30. 453. 137) lon s pene + 4 1. fiet
  31. Unde fiet
  32. Sed quogim inquisitum ista aeque forte difficile est
  33. ac problema, eeae aliam me hodum ponemus scilicet
  34. spi
  35. eadem
  36. Y sive 5 1 () 2 321 - 1. sed copsicationes
  37. est difficultas. Nihil nic fieri potest nisi per exflnes 23164
  38. quantilatum, et discerptiones aequationum.
  39. 2rV. atel par Ergo 2rv- (+ fr YV Ergo rp, +.
  40. arp -- 2tr. 6rB
  41. ab 1 1 (24 3 (2) 52
  42. acp 52 (3) - 12 nc - b
  43. (ed
  44. 19 (17)
  45. X - abu ac r5 - 64 - 152 409 (409)
  46. summa Numerorum. 409 + 152 +64 p, 625.
  47. 6~5
  48. is
  49. es
  50. 2
  51. 16
  52. 705
  53. 272
  54. 216
  55. 122
  56. 468
  57. 409
  58. 40 997
  59. 388
  60. 728
  61. 0540
  62. 4096 0
  63. 231 04153
  64. 194+81
  65. -6-18-1
  66. =2 +10-12
  67. 5
  68. a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 16v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068229:0032?run=74