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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 112r

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: 0.80.

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The machine reads it as

  1. A aydx = dx a + abXX + ac)
  2. fiet ydx = dx s(e + 2e5z + 2dae932
  3. f = 11 a
  4. 2.10
  5. sit XX = Z2+ afZ + aa,:, Z2 + 2toz + hh
  6. + aass 3d + 2a f9Z+ a 99): 22t2h2 +h
  7. lBz + ab (3 + aab922
  8. c
  9. , t eh + 2 fh Z2 = abghZ
  10. l
  11. rebhtizZ tabshhz + abgtt
  12. ac Z 19 0ih Z + 6 achsi Z +4achZ + acht
  13. q d 9 = 13aa - 13da
  14. V
  15. C
  16. 2.10f
  17. ergo fiet 14 (a4 = 13. 13(aa
  18. 10
  19. 11. 11
  20. fit 12 = 2. 10. 13 + 1D. 11. 11
  21. 4. 10
  22. seu 4. 10. 11. 12 = 8. 10.10. 134 11
  23. 2. 10. 11a: 2.10
  24. si data formula confe–
  25. renda cum conto,
  26. 102 + 11 Z3 + 1aaZZ + 132Z+ 144
  27. multiplicetuur dividatur per 10,
  28. conferaturdem de cum
  29. qu a
  30. 24 +257 + 2a947
  31. +ff27 + 24597 + aag9
  32. 2. 13aa + 11. 11 aa = 12 ac fit
  33. 4. 10.10
  34. 10
  35. et 114 = . 13. B
  36. 10
  37. 11. 1
  38. et 11. I1. 14 = 10. 13. 13.
  39. l
  40. 9-
  41. de
  42. s14 13 aa 1aa
  43. o
  44. Erge
  45. 10 210 f 110 11a
  46. 14
  47. 9- 1
  48. e
  49. 12 290
  50. ie
  51. 4. 10. 12 - 11. 11 13- (14
  52. N 8. 10.10 = 1
  53. videamus an brevius considerando X tab XX taec habere duas radices secundum XX, quae sunto
  54. aβ et aV. fiet considerando ergo velut aequationem fiet XXtaB = 0 et XX+ aY =d
  55. seu ez2+ afZ + aag + β = 0 seu + ezZ + afZ + aag = 0. seu 77 + aStrhBy
  56. F 2hz+ hhr
  57. 10Z7+ 11 aZ + 1a0 20 fret 22+ 1 a7 + 12 aa
  58. 77 + 11 aZ + 11. 11. a4 = H. 1aa -9.10. 12 aa
  59. V ∞ 2 4. 10. 10
  60. seu Z=
  61. 4. 10. 10
  62. = 11 a + 1 (11. 11 a a - 4. 10. 120a)
  63. 2. 10
  64. BZZ+ 2h(32 + hh β3
  65. et β
  66. 10
  67. aa9thhp
  68. et B
  69. Unde E - af + 2hβ. + s (aap + ahitBB - 4 aa eg - 4 2a9β 4tl. eC)
  70. =4 etiti B
  71. + 4afhB
  72. 2, C+ β
  73. sed eadem Z aequale eidem valori secundum V loco B
  74. Et haec una aequatio praestat duas hinc
  75. enim sequitur tamaf +2h β + s... . .)
  76. = =a f + 2h7 (4)1(.3. 7 pro B)
  77. e
  78. quomodocunque interpreteris + et sic tamen, ut non nisi bis duae hinc
  79. sriantur aequationes et si oriri possent quatuor eodem carculo
  80. qui si aa g + hhB (. afe) = afq A 2h ()) + (et 7) 1(.. .. per B
  81. CafC) = afβ(+ 2h β)) + (e+ () (.. . . per Y
  82. =
  83. aaff qu (β- 7) +2 af (3.))).. .. per (B) qu (et)), C... . per β) = qu (et () (.. per )
  84. (11)
  85. et 2af (β-7) (et Y) +(. . per B) = +9 (et (3) ((... per V) - aaf qu (B. Y)
  86. quam aq. quadrando habebitur aequatio ravalis
  87. 1899 + abgtih rach. ( sen
  88. ee+ bet ac
  89. _ = 17
  90. 10
  91. 9 (C1)
  92. ... per ()
  93. 243F9 + 2abgh. + 4 ach (+4(a 9 9ta bghilitach t) (2aa e 9 t aafs ta byst rabs h reblit actih
  94. a) 2a C5 + ab f+2beh + queh Z. qu (2aef + ab f + 2beh + 4 aCh)
  95. abFkk
  96. 8 qu (ee +be + ac)
  97. habebimus opus attollere ad quadratum
  98. aponatuer 9 = hih: q’e tunc dissiurulando q et e non

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 112r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0223?run=74