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Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 22v

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: 0.85.

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The machine reads it as

  1. s
  2. redit, ad residuum a quadrato addatur residuuam
  3. a differentia, inde residium erit residuum quadrati sequens
  4. Resodui differentiarum sunt residui numelom propesionis
  5. metricae arithmelicae, nempernum nam differnliae
  6. quad ratorum sunt numen impares. Haec regula est
  7. generalis pro omnibus potentus, ad residuum a quad potentia
  8. addatur residuum differentiae a potentia sequente
  9. habebitur residuum a potentia sequente. Hinc psidui
  10. Resdm cuiuso generaliter residui curdusvis sriei, sunt
  11. residur, ex summis residuorum a differentiis
  12. sit scires
  13. differentiae
  14. a b c d
  15. pdm aferminis
  16. Res
  17. ven
  18. qet
  19. mn
  20. Resiou a differentiis r
  21. Resid ab ma f = n
  22. resid ab
  23. resid ab
  24. e p
  25. Fdnes a b c d e
  26. h K
  27. differentiae
  28. Rotioniprici
  29. + d
  30. l m n p
  31. Retidinidifferentiam Y 5 + V
  32. Resid ab arg - resid a b quia a + =
  33. Refid. ab d +K = refid. ab C) quia e = resio a d+K.
  34. Refid ab Resid a dt d_d +k = resd.. R(dFK) = _ R (Rd + RK) =
  35. tr. a b cde
  36. n n P
  37. D+ V) p = R(C+ h) = R(rCt rh) = R (n + F)
  38. Ergo 9= R(n + + +0) et eode
  39. R
  40. modo
  41. pergendo, patet fore A(l+ r+ 5 + F +0) =c
  42. e
  43. plama differentia sit aequalis primo
  44. RpeY.
  45. l
  46. X
  47. Rdis l Y 54V
  48. ddiff
  49. 25 g 2h 2k
  50. eum residuo terminiprimi
  51. derminu cum scilicet incipitura
  52. Rresiduum etagregato a residuis disfedntam Agroat numerorum
  53. d Eut Residuns ultimi termini inserce
  54. progressiones nirthmetica. summa residuorum est residnum a multis
  55. trmitum primm progressionis.
  56. No
  57. ifferentiae constantis aucto per
  58. 4 9 16 25 36. 49
  59. 222 2
  60. Resid. a 1 est resi. a 2. 6+1
  61. Resid ab
  62. Dere
  63. 2. 5+ 1
  64. 2.4 + 1
  65. ere
  66. Resid. à 49 = Les e P13 + R. 11 + R9 + etc)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 22v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068255:0044?run=74