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Leibniz-Handschriften zur Mathematik LH 35, 14, 2, fol. 68r

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: 0.78.

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. 69v); this page is its right half.

The machine reads it as

  1. fradices negativae quantitases pymficant quansum punctum
  2. non esse antrorsum, ubi quaerebatur sed recorsum; sed negativae radices
  3. ex negativis pinificant, punctur quaesitum non e intainga rectta ubi, quaerebal
  4. ed extra vil. quallis. Algal. c67
  5. stenditur scit non pnutum
  6. eas in esse impissibaem, sed, quid faciendum, ut frat possibilis seu quomodo
  7. mutandae hy pottrestis ulfipttabis
  8. H
  9. 1.2 1.2. 3 1. 2.3.4, 12345 eu
  10. 6
  11. 24 120 et
  12. b. debet esse media inter
  13. dasis. poe Alu
  14. erit arcus quad autalis
  15. 1 + L + L +
  16. b15, +
  17. P
  18. quaeritur interpolatio. Non videtur dari
  19. id
  20. -1 - 1 + L + 1 -
  21. +
  22. 7
  23. 7 9
  24. - 1 + 1
  25. et.. - = + + L eti
  26. 23
  27. 16
  28. 1- XE
  29. in Aiithmelica infrnilorum Wallisii Hic pro
  30. 0+1 + 2 3 = Z
  31. 25. +2 6
  32. 0+ 1+ 2 +3- 65
  33. 3 +3+3 +3 12
  34. o+1- = 2 = = + = 0+ 1+4 = 5 = = +-
  35. 1+1
  36. 71
  37. 4 et =
  38. Eteq X + X + X er cujus dif X + X + X22 + ∞3 et C. =
  39. ambo simul dant: L= X
  40. 2
  41. et
  42. 3 6 4 + 4 +4 12
  43. 2
  44. 27 e+ e1 1 8 oore
  45. 2+ L = L = 2 - - 4
  46. 1+1
  47. +1
  48. 1+1
  49. +1
  50. C adjuagamus nea
  51. eoner bee) b15
  52. =
  53. 3 2 6mnroeu
  54. 2
  55. E
  56. (Generaliter u ,X.l
  57. O+ 144 + 9 = 14 - + 2 = 3+ 18 vbuonspotas 8 b
  58. 9+9+9+ 9
  59. 36
  60. 36
  61. o+ 1+8+ 27164 100
  62. B Hactenus rem prosequitur se sed in biquadralis difficitiores repent
  63. 1 = = 4 7
  64. 2
  65. 3
  66. erc. Generalier in
  67. etc
  68. 1Juer et 2Ht 69 2s 2
  69. Generaliter 4 4. X.
  70. et 1416 -3 = +
  71. e Regulam tamen dat ese ibi e modum inveniendi pro conlinuaione etsi perplexa
  72. 16416+16 48
  73. Nos aliunde hic universatia haberuus, interim ha exerptum
  74. progressionis in successu non bene respondentis suis initus
  75. d.x = e. X dx
  76. aVx in = G X = _ X = 2 _ VX = 3
  77. dallisius dat tantum summationes in toto, non in partibus quibus vis
  78. (it s s ejus diff. est e. X tt sit da tB fiet dy = e. x de. Ergo s jum si. y ( r es p so
  79. J. X goe Ga = s X IX = e xetI Syax: yx = C 1:, e+1 posito y - X
  80. _ N y = + +X (yde = ~: eri + X . ned
  81. seu Sydx: yx =
  82. ydx: yx = _ AF, X + eri
  83. eri, neI Xt
  84. nFI XC + F X itaque hic non est eadem ratio inscripli ad circumscriptum
  85. et1, ntI, X +X
  86. 8t, XZ = ntu + ZbX Ergo (atE qda = xZ it _ X et Z - fit v et fiet dx = e. v: et d. l0
  87. ergo XdZ + ZH _ et du = (M p _ n. v dv Ergo datur
  88. Zel f+ V = hn F.I F. m. + pleten do
  89. sit h. hy-hec
  90. sit n-
  91. sit hn - h +n = 0 fiet n = h8: , 1eh adeoque f+ pr = th ((.) 1 + 5. x a0
  92. i hn - h+ n non sit 0. sed h sit fractus, = , quaerendo ita ut X sit integer, quaeritur
  93. an hn A -h et hin - h +n possisit esse integri s fit nat.k inlerer et . = hnah- i intergo
  94. sed posius sit h- 1 = l: co fiet
  95. ergo n = ki + 81, et hu-h, = i+ ki + 1
  96. h = = co+ 1 : cd et h8 En-h : - c + 1, n - 1, :co = 4. cn+ n - cd - 1 :cd
  97. = i integr fit n = c 1 + 1 + cd: cd+ 1
  98. 13
  99. 1
  100. 21 2
  101. = 1+ 1 -
  102. a2
  103. - 1
  104. ho-h - (hbu Hf. 1h
  105. 5 - 1 - 18. 17 31
  106. 54 54
  107. Ergo
  108. et 144+9410- 319
  109. 3

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 2, fol. 68r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068202:0135?run=74