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Leibniz-Handschriften zur Mathematik LH 35, 6, 26, fol. 10v

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: 0.82.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 13r); this page is its left half.

The machine reads it as

  1. distantes invicem terminos conjungendo modo
  2. ne summus non excedat gradum ipsius . sed
  3. simpluissima est ex his prima, cxita pbl
  4. ut 2 sit 40 + 41X + 42XX, et ita ipsius 2 gradus
  5. ita exo d(exponens gradus ipsius 2) erit a- 2
  6. Hoc modo igitur instituto Calculo,
  7. potest generalis dar Canon quo inveniantur quaesitae
  8. 12 30, 31, 32, etc Et 40 41, 42, etl
  9. e calcurum adhu sed ut calculum ad huc magis
  10. contrphamus, suffecerit, loco ipsius gdate,
  11. formulae datae assumi unum ejus terminum,
  12. nempe summum, verbi gratia, si sit = 20 + 21X.
  13. +2LXX + 23X+ 24X possunt 20, 21,
  14. 22, 23, poni aequales nihilo, maneate solum 24X 1
  15. ubi etiam 24 assua pro unitate haberi potet
  16. adeoque supererit , XI, vel qiuqu X.
  17. gereraliter X. Singulis euius X. Vdx
  18. summationem deductis, utique etiam aggregata
  19. ex ipsis formula recipit summationem
  20. ponamus ergo in exemplum ad quod moduti
  21. sit vrce sit canonis vice; esse
  22. +
  23. = 10) 11X + 12 XX + 13 X +14X
  24. G = X X
  25. X
  26. +
  27. cf = 30 + 3IX + 32 XN + 33 X + 34X + 85X
  28. 2 = 40 + 41X + 42XX
  29. Et hoc sensu esse (X = c Zd + s2 Ydx
  30. poatque adeo
  31. es 8+ (et 1 d D - 2 dx - X3= 0
  32. Hinc instibuta idensificatione, ad inveniendas Quantitates arbitrarias, ut
  33. arbitrarias 30, 312, etc, 40, 41, et. Valores
  34. ipsaruem 30, 3, 32, et c prodibunt tales
  35. 105= 1. 94. 34 --83: 94. 84,
  36. invenientur sequentibus aequationibus quas mox secuturis, quas
  37. ingrediuntur Numeri 194, 189, etc, 183, e ets
  38. 172 162, etc. quaerum significatio apparet extabula sequenti
  39. ubi ex. gr. 173 significat TC +3, 13; et 162 significat 6C +2, 12. Ubi
  40. 9e , 14
  41. 94
  42. 80t3, 13
  43. 70+2, 12
  44. 9e+4, 14
  45. 8er3 13
  46. 7C+2, 12
  47. 6etl9 11
  48. 5C+0, 10
  49. 150
  50. 81+ 44re4 Ubi d, 1, 2,3 4, 5, 6, 7, 8, 9o sunt
  51. numeri veri, sed 10,11, 12, 13, 7,
  52. 20+, B e se ut et 50161, 7 etc. sunt
  53. begust sege
  54. 6e+7 11 52+ 11 4e41
  55. 5C+0, 10
  56. 50
  57. 194
  58. 172
  59. 6
  60. Aer0 38
  61. 82+4, 14) 7e+4 14
  62. 71+3, 13
  63. 62+2, 12
  64. Se + 1, I1
  65. seigi
  66. 5C+2, 12
  67. a+ 1, 11
  68. 3e28, 10
  69. tet2 fictitii, ideo sic expressi loco
  70. hiterarum velut a, d,
  71. ete
  72. et ut melius relationes hammatque dolorationes tarum
  73. quantitatum ex ipsa designationes
  74. eto intelligerentur.
  75. 40 abuld 5
  76. 162
  77. 14
  78. 152
  79. t
  80. 6et4 144 Ser,
  81. 164
  82. 54
  83. S
  84. Get 2, 12
  85. 142
  86. 3CF1, 11
  87. 29+0,10
  88. B0
  89. 1et0,
  90. 42+0, 10
  91. 140
  92. 2e45

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 26, fol. 10v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068071:0020?run=73