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Leibniz-Handschriften zur Mathematik LH 35, 3 A 7, fol. 14r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 16v); this page is its right half.

The machine reads it as

  1. Qoe
  2. quintiogrudus X ADX H2X X4X Haequo
  3. vul quaesivi din aequationem quadrato quad naticam ad aliam
  4. revocare in qua X haberi posset pro absolate per aequationem gradus quarti
  5. 10 5
  6. A. X. Xx
  7. verum difficultas in eo occurrit, quod non adsunt sufficientes arbitrariae.
  8. Nam si multiplicemus aequationem X +_ X +X 4X aequ. 0
  9. perarbitrariam formulam X + X +LX et. habemmus arbitrarias quidem
  10. 15. sed terminis opus est 16. termini tollendi post termini sollendi sunt 16
  11. ad
  12. 10
  13. 17
  14. X
  15. X X
  16. (3 ~
  17. et XD XX X X X X gx ut
  18. s
  19. 16
  20. nempe X3.
  21. possimus qui tant sunt enini tollendi ut aequasio propencta hanc formam
  22. sem
  23. possemus qudem pri aequationem
  24. aecipiat
  25. Xo 1 xi X X
  26. propositamo inaliam transmatare. X H X Z X +BX + X A5S9. 0.
  27. a
  28. in aliam transmutare pro X ponendo
  29. ut scilicet statim multiplicando per V
  30. yg. i vel etiam qu
  31. Ae. seuundus cerminus evanescate
  32. nempe p bx erc pond sulsoliendo pro X substituendo y-i fiet:
  33. X id
  34. stequilgodata
  35. X
  36. 24X
  37. 6)d +(0
  38. s
  39. (9 +(Ny- 11
  40. V+ (5) hy + (1o)hr y + (10)h3 y 4(5) h2 y +h
  41. +21. y + (4 ) uh. y + (6juh y tasik y +us
  42. +22, y H)h y stb) +2
  43. ∞ 3 t(9Thy +23h2
  44. essra y +2a. h
  45. +25
  46. Numeri paret
  47. Resibus inclus
  48. ut (5). (10)
  49. Hoc aequatio jam mullipli canda esserper per aequationem
  50. in producta
  51. V+ (5) 18y4 +2 y +3 y en aequ d. et tollendi omnes termini
  52. 15
  53. qui non afficiunt pera hrabent exponentem divisibilem per 5
  54. Et ut hoc efieret faciliusi minoreque calculi labore, utile esset
  55. praeformationem institui Nempe aequalio:
  56. X3 + 31X + 32 X + 33X + 34X + 35 aequ 0. multiplicet per
  57. AaiX
  58. 1C
  59. Et a XIS + 1 X 4 2X 3 + 3 X Y 4 4 X IB + siX +6X) + 7X + 8X +9X +10 X FuFr
  60. +14 X + 15 47,0. Mabiplicandae in se invicem:
  61. _ X
  62. aequ. 0.
  63. significant
  64. veros numeros

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 7, fol. 14r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068220:0027?run=74