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Leibniz-Handschriften zur Mathematik LH 35, 6, 27, fol. 1v

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. Res redit ad hunc caleulum
  2. 21, 27, 23, 24, 25
  3. pro f, 9, h, l, etc sumendo 1007100, 300400
  4. et pro ipsis 13, f. 1. 3. 4 ete ponendo 11, 2, Et, eac et pro
  5. 11 + 500 = 0 2029+ 21 100 1 20. 209 = 0 23+22 100 +21. 200 +20. 300 -0
  6. 24 f 11 + 10 = 12 + 10. 100 + 200 = 0 13 t 12, 19D + H. 200 + 1
  7. H+ a = a 12+ 1. B + C, 11a + 10b = 0 12 a + 111
  8. tna ct e 11 + 29 =0 1+ M. 2 Y 72 = 0 1, f + n. 22 + 23 = 0
  9. 14 + 13. 21 12. 22 + 1. 23 + 24
  10. e + 21 = 0 1. 20 + H. 21 + 10 22 =0
  11. U + 21 =0 12 + 11. 21 + 22 =0 13+ 12. 21 + 11. 22 +23 = 0 14+ 13. 21 + 12. 22 + 11. 23 +24 =0 ek
  12. ubi 21, 27, 23, 29, etc. sunt numeri datae quantitates quaesitae, f, g hl et C
  13. Cum interion uitandem ebel u, in et et g in e
  14. 21=
  15. a erc. sunt s.
  16. 22 = + 11. 11 - 12 23 = -113+ 11. 12 = 13 = -113+ 2- 11. 12 - 13
  17. - 1. 112. 12
  18. 1I. 21 =0 seu 21 = -11
  19. seu 22 = 11. 11 - 12
  20. + I1. 12
  21. + 12. 12 = - 1 + 15, 12 B K + 12. 12
  22. 12 +1.21 + 22 =0 seu 13 + 13, 21 + 11. 22 + 23 =0
  23. T2∞-11. 11+2220
  24. 23 = - 113+ 2. 11. 12= 13
  25. 24 = 11t D- 3. 15. 1 + 12. 12 +2. 11. 13814
  26. 13- 12. 11 + 113 - 11. 12 + 3 =0
  27. 14. + 13. 21 +. 12: 22 + 11. 23+24
  28. =11. 13 411. 11. 12 =112+ 2. 11. 12 -1. II. 13
  29. = 12. 12
  30. 15 + 14. 21+ 13. 22 +12. 23+ 1124 +25
  31. = 11. 14 + 11. 13-12
  32. go
  33. gariuum
  34. possum
  35. (1 - 3. 13.12 + D11. 122+2. 112. 13 C11. 14
  36. Atque ita haberi videtur progressus in infinitum, nam numeri coefficientes sunt
  37. signa sic habentur
  38. 25 - - 13 + 4. 11.12 C3. 11. 13 +2. 11. 14 -15
  39. 3. I1. 12 42. 12. 13
  40. numen omnium possibilium tronspositionum
  41. si fingatur quibus ex numeris supposititus esse = 1. si ego tunc exforma
  42. se n breviu demetisio
  43. demensio formalis est eadem, materialis variat in eodem valore, quodsi
  44. prodit -1. debet praefigi signum- alias +
  45. maturalis est par prodit signum, +. sin sit impar prodit seprum-
  46. ed cum hi ipsi numeri coefficientes fant ex fimul eo sit prducti
  47. lombinato riorum, et hi ipsi 11, 12, 13, etc. sint etiam producti continuorum
  48. recipuocorum, imo si mavis ipsorum combinatoriorum si sc. ege e-1,c-2
  49. en non negligas, fracilius hinc prodibit desideratum aliquod
  50. tat quol X a tot quot x
  51. liter + X+C X dif X seu X +C = x = c. Ergo X post max = X min = sm. C
  52. Ergo Xmax. +C = x min. = summ. C X tot quot X a minimo X ad max. seu omn C x seu omni
  53. compendrum
  54. diff XX seu XX + 2XC + LC = XX = X 2XC + CC. ergo (Xmax +CC) miX, ad max
  55. Ergo (temux rC) ( q eX ((x max +C) = (2) X min. = omn (2XC + C sa i
  56. C= sed omn 2XC + omn. X CC = x omn. 2XC + C( (XMax +C) = BX min)
  57. x maxte .- X min = omn X
  58. sia
  59. Ergo (2) (Xmax +C). B amim -
  60. diffX = X tBXXC F 3Xcc + 3 - Xd = 3XXC + 3XCC + C3 et (Xmax t C)3 = Xmin. = omin, A . r
  61. omn B c5 = c. X max +C = xmin omn. XC = (XM r1s. (x mn). - x ma
  62. palt

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 27, fol. 1v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068072:0002?run=73