Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 57v

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: 0.86.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. Melior ergo via haerc esse videtur: debet esse 7yp -rr =
  2. ipsae Y et V, explimantur per 30 + 31X +3 + et et vper tot HX + 12X + et, ut supra
  3. secundum rei valores jam scribatur valor ipsius 74y 7yy - vv, qui debet
  4. valor debet aequari quatralo. fiet
  5. (+30 ) t 30 X + 30 XX + 3 X3 +230. 32X
  6. =10 + 23031.. +2. 30. 31
  7. 10.H..
  8. seu eim
  9. +30 +1030
  10. + 10
  11. 21030
  12. = 10
  13. = 2. 10. 12
  14. -1. 11
  15. + 230, 31
  16. +2. 3032
  17. = 2. 10.13
  18. -2. 1P.1
  19. + 1. 31.
  20. +2. 30. 33
  21. 42. 2. 32
  22. = 2. 10.14
  23. =2. 11. 13
  24. 1. 12
  25. quod si jam haec formula potest esse quadratus
  26. a - b = a +b- 2b =
  27. ustituntur actu ipso extractio, ut solemus in numeris, nam ita primus ermnus est
  28. quadratu
  29. cuine latus Et quia int refert etsi termini sint negativi excento sumplic
  30. exsumo
  31. excesto in fimo ut possit extrari radioquadratiea; ideo possumus sempe
  32. transferre duplos in terminum sequentem
  33. sed quaeritur quomdo jam ita institui posset divisio, ut inveniatur quotrens, et residuns
  34. sed vereor ut id facile determmari possit. Prioris
  35. ergo paginae ratio dat exitum, etsi nimis prolixum; hujus non aeque an
  36. sit minar divisore
  37. An ergo redebimus ad nostra prima tentamenta, ut formula quadratica
  38. generalis reducatur ao quantitates, qu notas dyadicas nempre
  39. 10.
  40. en 1on X L 10 16X F Wus tour K ~wM K 110IX 10. 1X F OX, 10
  41. 0+ I1X+ V2XX + 13 p + eU
  42. dabit
  43. il. 16
  44. 121
  45. 13. 14
  46. 11. (3, 11. 12
  47. vq n. B C +12.
  48. HI. 15
  49. instrimuntur aequaliones octu ipso nddntur et omissis initio ipsius ipsis 11:, 12, 13
  50. At
  51. + 11.
  52. 11016 (10. 15 10147 10. 12 Add
  53. Arts 11. 19 11. B 1p. 12
  54. donec quodlibet conticat quantitatem quae non possit major quam 0 et 1, idque continuetur
  55. et
  56. Seddautur
  57. 12. 14) 12. 13
  58. donec inveniatur lex additionis Demdis separalim lddantur 11, 12, 13, sins locis. V
  59. dyadice,
  60. Verum enim vero, vereor ne hoc quoque sit nimis prolixim, quia in simplitibus
  61. p+b, a+b+C etc addendis nulla commoda lex priori produt
  62. taque vereor ne missa hac via tande- sit ad alterum procedendum
  63. pumediatiorem e ex ipsis resi duis dyadicorm, quorm differtaliae sunt
  64. notae, ibi enim statum thectenata osferuntur
  65. t
  66. oria

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 57v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0116?run=74