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Leibniz-Handschriften zur Mathematik LH 35, 5, 15, fol. 3v

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: 0.77.

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. 2r); this page is its left half.

The machine reads it as

  1. Aliter lb + 3Z aequ. vv. seu v aqu 1bb +3 aequanda conto
  2. bb (t22 equ (22+ 2Z 5+ si Ergo Zar ∞bC bb- Nogobo - is
  3. et v aequ Z+ s aego bb + f. et dq aeqo bb ds - L ds. sed hoc
  4. Aliter
  5. bb - bb apo (is s, at bt fbD
  6. b- Zv aequ
  7. aequv. aequ
  8. 2Xx - Xb
  9. 1. 2, 6
  10. 2.3, 2
  11. 23,3
  12. ego - -
  13. EXK
  14. b aequ)
  15. qu
  16. 2
  17. s
  18. (11
  19. aaaba
  20. XV
  21. b+Z 2b-2
  22. b+Z. Ergo V aequ
  23. Repelatur pag. praecedi signo O fint:
  24. 1.2,3
  25. L aequ a aarba
  26. ligo
  27. 62
  28. pognopere ad rem nostram repelitur
  29. 1.2, 2
  30. 2XX CX.
  31. Eudexb
  32. a + b
  33. t
  34. bb
  35. 3.4, 2
  36. 3. 4,
  37. +
  38. 4 3.4
  39. 12, 63. 4
  40. et
  41. +
  42. a de
  43. 6b 4 bb.
  44. b+Z
  45. b7
  46. bl
  47. b. Z
  48. Sed nihit hiac
  49. eg 15 +
  50. rAx 4X 8XF 1645
  51. + 2x bb + Xb et i aequ L +
  52. 2XX 4X2 8XS 16X
  53. clara nihil hinc
  54. b+Z vaeqo
  55. Li + 1
  56. di
  57. si bp
  58. Six extrahatur (E) lam ago 12 + Z l m + 4 . P M, 12 tC.
  59. sit Z aequ L. et l aequ. 1. et mago X2. fet: 1 + XX _ at n + +. X - 5 XP et C
  60. 92
  61. et summando. siei X + X - X + X7 et , senfict X + Z X + 23.1 X + Z E 1, Z. 2
  62. 3y1.
  63. posito Z aequ2. unde posito X aequ. 1. fiet = + + Lt + 2 2G 1, 2
  64. 59, 12
  65. 13, 12,3
  66. 79, 11213
  67. ec
  68. , hut duo ternin, quorum uno posito a, eut alter b aequ a f: (Z, 12 a aequ b, L= X1L, X
  69. b aequ: h =. X 1, 2X - 1 sed alsoluti per solam x vel per plam
  70. X + 1
  71. interim habemus b expressum per X;
  72. qua rotur series hujus summatria:
  73. a
  74. d autem est immer terminoruo uno delnito.
  75. m n’ou mago m. laequ b. n- n aqu c.
  76. Ergo n- m aequ b t E 2X bgo = X - 2 , 2X- 3, m - l
  77. X= 1 X - 1
  78. satius credo cuncra fieat hoc modo
  79. AB 1. C. Ergo DB CN qu ( dr aego X. X + X - X14C
  80. 1+X
  81. quia AFago AB + BF aequ 1t X. et FGaqui et Beago qu + t e
  82. sit jam BFaqu. L et AF aequ pet et F logo Z. fiet AB . q et BB aequ Fn.
  83. erit AL AI aequ b -Z. et Anaequ. b + Z. ergo lm aequ. . et npaego . et
  84. a (
  85. b+7
  86. que nam Im + apaeqo (+ Z) + L(3)
  87. bb -77
  88. bbqueE aego _ 23 bb.
  89. seu 66. aequet
  90. bb bY
  91. 5V-
  92. 2 es 2 + 2 + E etc ago DBCAd
  93. standem _ Z aqu 2O3 nam Z ullinum seu F B vel Feaegu L. et bseu AFogu L
  94. Ergo L aequ . Ergo fit: DBCHD ego = 4 1 4
  95. seu
  96. 113
  97. 8. 3
  98. 5.3.
  99. + 5, ete aqu ++
  100. x pari aequ. s. posito X esse mueros naturates deinceps ab aonitate
  101. 2XX-
  102. Habemus autem relationem, ductum terminorum inter se ai sint ix x quaeritur _ si sat 2x9 1
  103. e
  104. seu posito 2X +1 aegov. faei aequa et vir quer aequ. b. Ergo 3 aqu b
  105. 18b
  106. ergo fiev. var, q aequ.b. Ergu seu va aequ 9bv + 18b et vaego
  107. a gli eo a or A 29t, qu
  108. etc
  109. aeq. 1
  110. S+4)
  111. seu

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 15, fol. 3v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068033:0006?run=73