Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 3 A 22, fol. 18r

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: 0.80.

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. 17v); this page is its right half.

The machine reads it as

  1. a lequ.
  2. (- X aequ. + 1 4 2 79 t 1.9
  3. f- 3a aequ + 1 =
  4. seu major quam Z
  5. s - 6a aequ + 1 - .3
  6. S. ba aequ
  7. - 3
  8. +
  9. erc. Si bina Gungas, exhiberit
  10. 130
  11. semper +.
  12. 15 Eci
  13. (.3 1.5 Fri7 Ing. adhuc procedit, quia tmais quam 1- 4 est majur nihilo
  14. 1 + 4
  15. 5- 4a q
  16. ego +1=
  17. 6
  18. 1.13
  19. 4 + E
  20. 1.. 3
  21. +5 err. ad huc procedit, quia 1 majus quam
  22. ers ad huc procedit, nam quia 1- L aequ 0. fe reliqua ntius
  23. 1.5
  24. sunt nihilo majora.
  25. 7
  26. a = β3 aequ 1. 3 1.3
  27. non procedit quia -= += est quantitas
  28. 1.. 3 1.. 5
  29. nihilo minor. Ergo
  30. et b aequ. 5.
  31. Il12, 3,45
  32. +30- 15 48
  33. i
  34. 3 Ergo
  35. is
  36. 21
  37. 1201 0
  38. 17. 5 1. - 3
  39. 620
  40. + +.3 - 13 + 13 erc. quod non procedit quia B 1.
  41. XcB aqu. V aequ quod procetir, nam 1.. 5 aequ 6, 20 ergo p + aequ 5 16, 20, seu
  42. 1. 5 1.. 7
  43. X - 2 (3 aequ
  44. aequ 20- 12 aequ. 920
  45. 6p0
  46. 25 ci non procedit, quia 220 mina quam 25. Hinc provideri
  47. 1
  48. a - 3β aequ. 1. 3
  49. 1.. 5
  50. poterat, quousque progredi liceret. Em Eritque
  51. 1. 3
  52. X - 4 (3 aequ 1. 3 1. 5
  53. 19 + erc seu;
  54. OB-dy aequ. 6-946+ d.ad + 6 + 9d - 6+ gd erc. debet d
  55. tmaijo unitate
  56. 1. 11
  57. A.
  58. _ - cβ aequ. p. 3 1. 5 1.17
  59. 1.. 7
  60. 1..5
  61. 1.. 9
  62. 1.. 7 4.
  63. et substituando pro d substituendo d +1. sit eadem quantitas pinor unitate 42
  64. 19
  65. 1.5
  66. sit quantitas 6 - d - 1 6 + 19d +d + 6 + 19d +d minor unitate.
  67. 61
  68. 1.. 7
  69. 11. 5
  70. lateram autem d ita inveniemus situr
  71. d fit integer experiamur et in sequentia conditione su d sit fractus, sumamus
  72. 1.7.
  73. 1.. 5
  74. intemum proxime fiet : 612 16 = 6, 7, d = 6 19d fiet: 48, 6 aequ 61 d
  75. Ht
  76. ergo 41, 6 aequ. d. ubi si d fieret integer hic finiretur tota
  77. series nam residuum foret 0. sd quia est fractus, sumi debet integer
  78. il assumeretur, sed,
  79. proxime major, p16+4. Nempe 5. Jam sumamus alterum terminum
  80. ubi adhibetur d +1. et cum multiplicemus ubi si a daequ 5. foret 6 - d - 1 aequ. 0.
  81. 1.. 5
  82. et 6+ 19+d aequ Ergo fit utique reliquum minus unitate. adeoque numerus 5. succedit.
  83. Si vero substuto 5+ 1. in locum d+ 1, temminus ille in quo d +1 non fuisset
  84. quatuor primos terminos ponere
  85. assumere proxime majorem intemum
  86. eam
  87. d
  88. minor unitate, tunc debuissemus non duos
  89. ett valorem postea in quinque priagibus experiri, an pro dponendo d +)
  90. Ex his ergo et modus
  91. aequales 0. Et in vestigare valorem d, et
  92. secundum valorem repertum, fiat quantitas nihilo minor.
  93. lapparet divi dendi seriem per seriem infinitam per sediem infinitam ita
  94. ut investigetur quotiens verus numeralis, residuumque sit proe minus intate
  95. quod imprimis puliare procedit hac methodo si sit signa et- alternent.
  96. 7
  97. 2
  98. Concludo igitur esse 01 + 101 101 etc. et d aequ. 5.
  99. p. e8 aequ. 1 - e + 194 101 e - 194101C + 19 + 101e erc. abi patet si sit aqs. 1. fore
  100. 1..5 = . 1. . 7
  101. .15
  102. 1-. 11
  103. 1.. 9
  104. 1009
  105. 8, 9, 19 + 8, 9, 101e = 194 101C
  106. quia 42
  107. 1(01C
  108. quantites
  109. g 2864

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 22, fol. 18r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068235:0035?run=74