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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 119r

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: 0.76.

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

The machine reads it as

  1. Ut summabilis sit simpliciter
  2. 1Y n+ ny + 1
  3. 0a 10 + 119+ 12 dy
  4. erit differentia ipsius 20+219 =0 et int e d20 + e1 + 21dy, fiet p∞ 20 = (10
  5. 21 = 12 et dez = 1 Sed Ut sit summpbilis postumat sipligationem pert, fior
  6. 20 = sio sion 12g=21 12dh + h d 12 = ich
  7. sit aequatio 30+ 31Y + 32dy + 33 ddu = 0 Haec dividatur in duas partes
  8. 40 + 41y + +2 ady = _ sot sedy 53ddy fint 40. 50 =30 41 = 3
  9. Seu 14= 31,
  10. d42 = 41 (d53 = 52 seu) d33 = 52
  11. Habetur 42 = s1
  12. 53 = -33 4257-32
  13. Restat 42 = 52 =32 seu (1 + d33 = 32
  14. ponanus an esse constantem, fit cg -0 ut superes
  15. 2
  16. si aequatio puius ponatur dupiL plienta per k. fiet Sdik (4 dB9h) 32h, seu 3ch+ ad2 + d3 dh + 3Gdch = Zedhi + dzet multiplicet
  17. per an, fige s sexpoinus sipe hodio sommabulis BI + sa 3Z-d3L h. h 133. 31) ahdh H 33 ah dot = S
  18. compenda sit tt Fuent 604616 +62 av + 63 ddv
  19. 83 din fret 60 + 619y +62Gdy 407
  20. et dd 83 adB = = C
  21. fit aA = -s
  22. seu
  23. oe sic
  24. 6
  25. 462d,7 +629 dy
  26. c 619+ 62 d9 +63ddque 629 +2. 63da
  27. L A
  28. 61 +
  29. 63
  30. 63 9461
  31. et fiet 61 + 62 de
  32. do
  33. 3
  34. 67
  35. C
  36. dus
  37. d
  38. 6
  39. 2
  40. d
  41. = _d7 et fic
  42. d
  43. d
  44. dg dg
  45. 63g
  46. s fiat v= 9y
  47. A
  48. dx
  49. os
  50. fieret
  51. de
  52. jam ddque
  53. sed hoc multiplicatine
  54. in potestate
  55. ayt
  56. dgy = ag
  57. ddy
  58. = 2d9dy
  59. )
  60. a
  61. e
  62. qa
  63. Cd
  64. d 4 agns
  65. da
  66. a
  67. e
  68. E
  69. 62 + ddz
  70. 62 dy + dZdZ = d.
  71. 6
  72. d9: q id est lq progressionis
  73. ((62. 62 = 4. 61. 63) = 62
  74. 2. 63
  75. 639
  76. dagus = dd. 9 + 2dglys
  77. 63
  78. d - d62 + 2d
  79. C
  80. 3
  81. dy d7 + 623 + 62, 62 = 62.62 61
  82. si jum de fingeremus constantem, seu
  83. geometrica
  84. d
  85. 629+2. 6dy, d
  86. 619462 d9 63 d d9 y +
  87. c
  88. e
  89. + 2 d = d62 +(2)deq
  90. + 2 d
  91. d 4
  92. c
  93. si jam da fingeremus esse conctanm en
  94. fiat
  95. et
  96. l-0 = 63g
  97. +63dd97 + 23 dg ds + 63 gddy d
  98. d
  99. 463. 63 4.63. 63 67
  100. constans = b dx b: a
  101. dntae aequationis efficere non
  102. S1n+ 2aH
  103. at
  104. 81+(+ 82dh = ed
  105. Bih 82 sato - C0
  106. gaaus

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 119r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0237?run=74