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Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 14v

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. 15r); this page is its left half.

The machine reads it as

  1. Ut ergo redeamus ad scopum, quia summa haberi
  2. potest hinus seriei.
  3. 27 + 1 = 2 Sy +y
  4. Emret, omendo y n fit +y y +em. seu m + m
  5. ab hac siguo
  6. suad trer
  7. seques ))
  8. itam
  9. Y VCdy + 1 (- y) + m
  10. sive Z 7
  11. sive (2m + 1 + 2m (+ md s
  12. 2m
  13. 1+ 2m
  14. V mo
  15. 1+ am
  16. + 1 X m
  17. sue Z Y une q um 41
  18. sumtis ergo m numeris tme naturalibus; summa quotcunque irrationalium
  19. hujus naturae haberi potest. Mutando figua in +, fiet
  20. 2m +2 m +. 1
  21. 2m +1
  22. Ergo s +1 5- 8 +1
  23. sive 7
  24. 107
  25. B Vme +
  26. 10 + 1
  27. a +1
  28. possunt, Eorum enim summa est: .y
  29. X32 +1 sumuat
  30. 8+ 1
  31. majore est auter
  32. mininum y.
  33. Est auter Maximia ext Nclusa, minima inclusa.
  34. Jam YP)
  35. m seu m. fiet dy
  36. 2m 1+ 2m
  37. proxime major ergo y est
  38. minima autem est
  39. 1+10
  40. 25
  41. seu ergo
  42. 13.
  43. Sitem
  44. imA)
  45. m
  46. Ergo in + 2m +1
  47. 3e +2m
  48. in quo patet esse errorem.
  49. resumatur res ab ouo:
  50. Si+Em
  51. m
  52. 1+2m
  53. - 22
  54. S0+. - 5
  55. Ergo agle y + +y - 2Sy + y
  56. cujus radix
  57. S1
  58. summae horum quatuor irrationelium
  59. Res ob momentum sui resumenda est:
  60. mti
  61. 5
  62. aquantur
  63. Ergo m +2m +1
  64. m mam
  65. 3+2 m42) 1+2m Stma
  66. +2m +am
  67. 7 Z
  68. 3 + am + 4m
  69. +2m am
  70. Ergo Z5 P2y+1- 2927
  71. Pone 5 + y y F0 - 2ym + m fiet: Y 5 m. Quare resumendo.
  72. mer fer: S . - s m
  73. 1+ 2m
  74. 1+2m
  75. 1+2m
  76. Ita A. cum
  77. abseisse sint y ergut quidem progressionis Arithmeticae, nam differunt unitatib
  78. vel minim
  79. ite 1+Z A 5. ordmatae
  80. sed prima earum, non erit unitas, sed
  81. autem erunt horum abscissarum radices. si im sit 4. Vum eut
  82. 2m +1 (= 2 m a
  83. +2m
  84. 1tamtam
  85. - 2(m + m + 2m3 ram eut
  86. + 4m +qm
  87. H jam ex hac quantitate signo affecta potest extrahi vidio
  88. 2 m
  89. 1+ 2m 1, - 2 m = m
  90. et fiere
  91. 1 + 2m HZ, riets 1 - 2m
  92. ZV.
  93. fiet ergo.
  94. 12
  95. +2m
  96. sive a4+2 m-Em;
  97. quod conferentum supenodi Z p, E 1 - 2 syly) sivc 2n
  98. um
  99. ) () 1(- 2m C- m
  100. 1
  101. Rusus eror in caleulo
  102. 3 + 4u Am

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 14v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068022:0028?run=73