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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 143r

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: 0.80.

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. 142v); this page is its right half.

The machine reads it as

  1. + PV xaqV + aer
  2. b y +ac y + ad
  3. + pyE + aqy taer V
  4. + b. + bp . .. ebaque.. + bary
  5. +ac .. + ac p... tacag.. +ac ar y
  6. +ad.. + aedp.. + a daq. +a dar
  7. F - P. ut tollatur terminus secundus,
  8. et ar - paq + ac P +adF. adeoque d p - a r = ac p + aq B, ut tollatur terimipatus
  9. et porro ut tollatur terminus sextus, fiet: ac r p, + a raq + acpaq = aq paq
  10. et fiet Cp
  11. ac ar
  12. =paq
  13. aq Y - aqP H 4
  14. ar = aqp
  15. ergo d e - r. et bp - p.
  16. unde patet olegans thecrema si aequatio
  17. runder
  18. ar aq ubica multiplicetur pi aliam ejus detepto pr daetu
  19. dq
  20. 7
  21. literarum signorum contrariorum,
  22. altio dimensionum duplicatarum carens locis
  23. imparibus.
  24. superest ut sit a y + pY + aqY + a Y B
  25. = P y + aq V - aer B.
  26. 16 + py 4aq y4 + ar y
  27. p.. = p .. - paq ... - par Y
  28. + aq .... + paq... + aq.. = aquY Y
  29. laq
  30. . .
  31. -ar -arp. araq. - ai
  32. X -2arpV
  33. + aqu
  34. X -ar
  35. sive - + aqp + p 17 - 8 a7
  36. et fauendo BH 3b. eta qu 3l2-aq etarB - agb
  37. 4, Y 1b2 - aque, 9b + 27b ⊓ - 8b +8a Zb - 8at
  38. +
  39. Si faciamus 2aq = p B 0. sut pr p, ag. fiei 9b 66 = 2 a2
  40. 4
  41. a qu)-
  42. res
  43. sems se it quadeati quadratum a semisse secundi vebet aequari quarto, fii:
  44. + aq + ei = rar Y (+ a qu
  45. quod est absurdum
  46. +2
  47. P2..
  48. Hinc si sit Nota si supra aequationem ac arpi a raque + ac paqu -aqpaq
  49. divisissemus per c - g. habuissemus: rp 4F et fuisset de, 4 t.
  50. =pY + ac Y + aqp A.
  51. aiquatio ergo y +pY + aq) + a q plana, altcanum folet: ut et altera
  52. y
  53. + py + aqY +aqp B
  54. + ac. A aC 0
  55. + p y5 +a Y + aqu Y3
  56. =P -pr. m. - paqu ... = app Y
  57. tac m. + pac

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 143r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0285?run=74