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Leibniz-Handschriften zur Mathematik LH 35, 3 A 6, 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: 0.76.

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

The machine reads it as

  1. superiore, scribatur
  2. e
  3. Nompe aequatione X X, + ab X a cX +ad X ate X + af
  4. (an) eah - ag
  5. 2
  6. in
  7. 10
  8. sie X + ab X + a dX + af B ac X + a h X + ateX + aG
  9. sentandum est jam an utrobiue extrohi possit radix Cubica, itaque ducenda est in se cubice
  10. quantitas X itaque conferenda pri posteriorque; illa cum formula: _
  11. proos X + 3 al X + 3a V X + a l, poseria cum: aE. N pa X +3aem X + acr
  12. 2
  13. 213
  14. sive quod idem est, unaquaeque formula determinanda est ad tres radices aequales.
  15. Hinc conferendo primume ei =. Ergo dp 3ab et fp .. Habitis autem
  16. ga
  17. 27a2
  18. d. et f habentur h. et g. Ergo pro tubus quae supersunt collatitiis non nisi una
  19. est incognita m. An ergo sic forte rectius:
  20. X X + ab X + adX + aef ranX = ac X + a h+ ate X + a9
  21. ita ut a tentemus utrobique radicem extrahere quadratam; sed ita augetur
  22. quidem numerus incognitae; sed vicissim et numerus aequationum collatitiarum, utrobique
  23. cndraq
  24. inrot quaddutam c
  25. imo remedia huic malo pagina
  26. Resumamus aequationem, nae termino quidem secundo abtato, et ita scribemus:
  27. cur. Tubie
  28. enix sequentiis, subi z
  29. X X + ab X + ad X + ae XC + af X + ag
  30. n
  31. e
  32. + a p7. ,+ a4
  33. =atfs
  34. + a n2...
  35. = ac.
  36. l-a59
  37. om Segungatur haec aequatio in duas partes; ut appareat an habere possint
  38. E
  39. i
  40. h
  41. = ab
  42. X6 A + ab X + ad X + a X +a F X +aG pRX + ab X + aed X rae N +af X +a g
  43. -1 in - al
  44. Unum divisorem communem, fiet:
  45. =am
  46. =aen ap - a4
  47. Jam utramque aequationis partem dividere tentemus per formulam X + Y.
  48. quod si _ exitum referire potest, ope aequationis data inferioris, aut etium simplicioris;
  49. eo ipso data quaelibet, aut inferior, aut certe simplicior reddi potest
  50. Sed quontum, hic calulus foret prolipus eandem methodum in simplicini aequatione experiamur, ud
  51. appareat an liceat his cum finctu uti, esto aequatio culica:
  52. 2 N _ + Ab X +ad X + a
  53. n
  54. +pla
  55. et
  56. + am 2.
  57. ad.
  58. e+
  59. ae.
  60. EA.
  61. h X + x + bX, + ad X +d e
  62. X +bX +ad X +aC per XI
  63. =am. =an 1
  64. Eodem modo dividendo
  65. Unde aequatio
  66. =h Y + br- ad Y +
  67. C
  68. Y +l Y +an x +an p
  69. 1
  70. R.
  71. Sed satis hin uppare, his nihil agi
  72. st n

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 6, fol. 2r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068219:0003?run=74