Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 705 · Overbeck, fol. 97v

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: 0.78.

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

The machine reads it as

  1. 1
  2. 52
  3. 29b
  4. residnom a binariis
  5. quaeritur periodus (numeri 143. constat non esse primitivn ib 1
  6. exponens
  7. Numemetus ubi residuns est 1 sit f. it tamsest par. E + numenis et par. quaeratur qui
  8. sit residuns ubi numeus exponens est f. Ys erit numeus cujus quadratas dinsus per 143 dat residuam. 283484
  9. Quaerantur ergo resie quadm dison periodus residuorum a quadratis divisis per 143
  10. odut p
  11. sunt 0 1 2 3 4 5 67 8 9 10 1 13 14 15 16 17 18 19 20, 2 422 33. 29 29 46 27 2827 20
  12. 31 33 31, 37. 35
  13. esuat. Be B, Sn 6, 79d a
  14. 23 25 dus 36 289 2 36) ta 441 +54
  15. et 5A(B 113. 7. 58 75
  16. t 0) 4) 4 9 16 25 3b 01 82 2 re 6 29
  17. 0 1(4(9) 169. 13) p2 et 6 (08 (e 18 3 B2 1b 9 +
  18. 6-0 2G 8 - = 7 (12, 4f8 10 - 9 q (+ 23 16410 13, 8 = 11
  19. b- 1=5. 8 -4 = 4) 122943) 19 1o 3 - P + 1 13 1340
  20. per
  21. 26) 0 1) 49 (16 25 7)29b3) P(5(824 22 l2 24 28 et
  22. 22 = p = y 24 - 4 =20 28-9 = 19 _ 529) 16 - 18 13. 25 - 12 (125) = 17 23 - 7 - 1 0 20-.
  23. 220= 1 24 -1 = 23 29 -4 - 24 -9 - Y 13. 6= 26 23, 25= 27 6.7
  24. Er 14 Eabte
  25. es
  26. moculu percolo, resvidem redore ad hoc problema: datis duobus nunderis (dato et
  27. perisdo, quarum unus sit divisibilis per X alter per X - 1;’invenire numer
  28. sit
  29. f= XP(. et g = X9 -q X9 = 9+ q Ap = f X = f.: p = 9+9,: 9 fil f9 = qu
  30. sit g= f sit f - 89+ fiat b9q rq = 9p + 9p, et fit 9pDg9- gB = 9p - ha, sin q p = 4u
  31. b9 - p = qP hq = Y seu qp -h9 = gY et g =h +K, unde ou - hq = chr + kr, et qp- kr = cer +q
  32. et er + 9 = gB = KY = S fiet 9p - kr = Th, sit h = dk + I, sit qp - kY = sdk + si, et fiet
  33. se (dK + KY = qp = si seu sd + Y = qp= Si = t fiet 9p - si = tk X sit i -1 fe fit
  34. quo landem devent qur Ft LX vel S= qp - tk et et Y = + - sd et 9 = s- eY et p - b9 - Y ubi
  35. f, 9, b, c, d sint dati, 9, p, quaesiti, t arbitrarius
  36. Adhbendum exempam
  37. sedhi sed absoluta in numeris integris aequatione fg= 9p + qp. superest
  38. adhus maestanda in integris Xp = f, ubi pro p substituerdis valo.
  39. inventus per cognitos. Et ita puto determinabitur et F
  40. Vi deno
  41. videndum quadratas a numero minoe quam datus quo usque possit esse
  42. multiplus dati. Id est considerandi non solum residui sed et quotientes
  43. 49 1x
  44. 62
  45. 4) 49 51 53
  46. (5y 57 59
  47. 121
  48. 10r9 fr 1g1
  49. at tr. 38
  50. et2
  51. 43
  52. 16

Cite

LBr. 705 · Overbeck, fol. 97v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-861255:0194?run=74