Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 11

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: 0.77.

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

The machine reads it as

  1. Opet
  2. Oportet
  3. plicibus
  4. edligua
  5. nbem
  6. la reto
  7. plican.
  8. t
  9. q
  10. ucecu
  11. eta
  12. caride.
  13. candum
  14. 15 i
  15. Det
  16. 21
  17. dec
  18. Guea
  19. 1t
  20. at
  21. AIut
  22. NI A EHESE OS EINEN ERS AL1S.
  23. 3dd- + +dem L ee
  24. 3dd ee
  25. 9d+- 22d3 C, - 3ddee
  26. ddec - 4 de3- et
  27. oroduct. 9d 1200 4de et.
  28. 5ab = = aa
  29. a - = a + b - = a3bb
  30. + +a b- a 3bb- + = a ab3
  31. 15416 3a ab3 a
  32. aa -- 5a- 6
  33. 2443- 18a4 T2a 6
  34. 2Oa + - +5a3 + TOda 5a
  35. 445- 3at - 243, Taa
  36. L. I
  37. 243- + aab- + 2 abb
  38. Mulcipl. 423- ]- 3a4- 2a L5
  39. Per
  40. product. 4a5- 17a1 + 7a3 + 29aa 27 a 1 6.
  41. Cxeterum adrercendum hic est, non raro urile esse, mulciplica-
  42. tionem hoc modonon insticuere, sed cantummodo caminnuere
  43. incerserendo roculam in rel M. CE ad mulciplicandum 4a3. 1 3aa
  44. 2a- F per a a - 5 a- 6, Ccribo 4 a3 3 a a - 2 a. +
  45. in a a- 54 t 6, vel 4a3 3 aa- 2a + TM aa 5 4 + 6.
  46. Ouodautem. L per -, vel- per: L Faciac-, (IC Patet. F A0
  47. ab multiplicandum perc, e SIE a = b ∞ e: hinc li utrobique
  48. addatur b, het a ∞0 b, L e. Jam quoniam aequales quancitates per
  49. eandem quancitatem mulciplicatxe producunt aquales; ideo si
  50. uerinque multiplicetur pers, erit ac xb c ec, hoc est, auteren.
  51. doucrinque b6, erit a6 - b0 ∞ ec. Quocirca cum Catuatur a b
  52. e, e utraque parte duca inc, PrOduCAtF aC =, b6 ∞ eC; Per-
  53. Spicuum EC, - b ductum in = 6, Producere b6., 11 1t
  54. Decalirer ostendetur- per mulciplicatum producere
  55. Fcenim Ea = banultiplicandum lic per c. = d: Ponendo, ut an-
  56. re, a- b ∞ es erit produetum ex ab inc- dxequale producto
  57. ex einc= d velc din e: id eAt, cem de. SCdce, ut SuPra, X.-
  58. Quatur aC = b0: unde ac- bcm de aequabitur producto ex a. b
  59. i C. d. POrrO cum a- b aequalis sic polita iplie, ec utraque par-
  60. ce ducta in d, productum ad = b d aequecur producto de: hinc si
  61. ex acb0 suberahatur a d - bd loco de, ei aequale; erit juxta
  62. regulam subrractionis ac-bc = ad. ( b d productum guae litum.
  63. E quibus liquetbmulciplicatum per L dproducere f b d.
  64. li
  65. MuIE.
  66. dec

Cite

Ps. 2, fol. 11. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0035?run=74