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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 208r

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: 0.69.

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. 209v); this page is its right half.

The machine reads it as

  1. diffrae 2
  2. + Z
  3. Sd s
  4. X 2)
  5. 2ogiio
  6. Lo 1
  7. ed
  8. 5 y 8
  9. n 2,8
  10. 77
  11. 9f6
  12. 2o ola
  13. 1 8o. I) olio
  14. o valo)
  15. 10 2
  16. spstas 10
  17. 2227
  18. 1029
  19. 9 32 bas
  20. i
  21. 2 3ip. ide l X (b 630 (35 e
  22. 19 Si differentiae propcessionis dria
  23. e
  24. e
  25. fractionum driangularis, dividantur
  26. per Primam Quoductum eriut
  27. fract prosressio fractionum
  28. Syantidalisam.1c
  29. Hnc summa Differentia ista invertatur
  30. habebimus summam, ut 2 est summa
  31. progressionum Fractionum Triangularium.
  32. est summa Bgramidalium Potest
  33. et regula sic enuntiari. Si tummam
  34. datae fractionum quaeris serici fractionum
  35. numeratores unitates, nominatores, seriem
  36. ordnum Numericorum habentium, quaeris,
  37. summa Primum numerum (post unitatem)
  38. ume
  39. fractionis Serier Namonc. Ordinis Numerici
  40. proxime. anteredentis, et hunc divide per
  41. suam differentiam ab unitate. Productum
  42. .. P. 3
  43. . .. b
  44. 4
  45. 1O.....10
  46. si5
  47. 115..-. 15
  48. 6, 10 x ibt H d3e
  49. 18
  50. is is
  51. ia 36
  52. 7t 3g
  53. quauenda est ratio summam eneindi qua
  54. 1ybal 147
  55. 2 3eo 10 vol 90
  56. 14 3 1
  57. 17
  58. 36
  59. 4 29
  60. 1366 3d 9 pr
  61. 2i 494l24
  62. 480 20 400 50
  63. Yfa 25
  64. 75
  65. L iie a visa a 3
  66. 2
  67. is 26 b
  68. n 144
  69. 4 3 124
  70. 10 ioci, Es 2 400
  71. erit summa frogressionis fractionum data. ict 144 1B
  72. 3 g oli
  73. Ia
  74. geo is igo
  75. datorum et cuborum pin fractionibus
  76. 34 3 a
  78. vy
  79. Hi ergo numeri 2 3 8. 5. us quo 400 ab 4
  80. sun smmae sererum tractionum orderum
  81. Numericarum
  82. is 150
  83. 10 1
  84. 42
  85. o
  86. = 9do 35 16 61000
  87. 136a 126
  88. s 16
  89. s 26
  90. 3 04
  91. a Ee
  92. 240 4
  93. 1 80 31
  94. 426
  95. B. . )
  96. ...d
  97. g. 1
  98. ...-5
  99. .. b
  100. 18 1B 18
  101. 144 3d 18 in4. 1ta
  102. 400 bb 1bo 40d
  103. 31
  104. 56 y
  105. f.
  106. 2s 16

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 208r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0415?run=74