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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 147r

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: 0.79.

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. 146v); this page is its right half.

The machine reads it as

  1. signa eadem: Ergo sic F
  2. gar
  3. - 7 y al- hsr
  4. grr
  5. ut signu ipsarum l. ex h. sint inter segtraria. itaque +N p, +9 a l - h. s3. ponendo
  6. scilicet omnes liberas este quantitate, affirmativas seu significare suam molem
  7. ita redit contradictio, fiet enim ipsa moles
  8. sed
  9. Non ergo sic procedit calculus:
  10. si sic:
  11. X F1 16 + ra + a Vr= 96
  12. N negation contra hypothesin
  13. 55 a2 = a:
  14. 27a
  15. -
  16. unde XH + ra +dqX. et X - 2tqX = Aq X - r’ at C
  17. et tollendo secundum terminum: X y - 1q)
  18. conferendi cn H X = h N
  19. 2
  20. + 152
  21. erit q h 13, et 2 96 2,3 Nh 2 13
  22. et fier 2 Nh2 13 = lsa p r2 a+
  23. -ra
  24. 27
  25. E7a2
  26. 0.
  27. ubi quidem Y. est possibilx
  28. sed aliunde oritur matum, nam radix, +r - qa non peuinde erit
  29. nam Y
  30. s
  31. 2s h si =gl N
  32. 36
  33. st
  34. S.
  35. 27
  36. 270
  37. p∞Nh13
  38. sive debet gl este s 2h 13. seu B ( 4 h, 3, seu 27 lH 4h
  39. quae deseminatio coincidit cum priore scipionis ferrei
  40. Y X
  41. (5, +s ar + adra +4 a + 15 - a sar + a Pra tq a
  42. 2
  43. (
  44. ergo X F 2a Tr a + qa + 39 aX et X = sgaX + 9q’ a X -qra
  45. et CX sit jam aequatio data: XaX al. fiet X - 6ga X + 9 q’ a A2
  46. 19
  47. - ael
  48. sod ita redit determinatio scipionis Ferrei. Sin tollaus secundanterminum aequationis 3
  49. ponendo: X X 1 Z + 29. fier:
  50. sit, um data aequatio
  51. Z37
  52. Nh
  53. -Nl
  54. fiet N 1 4 + 3a. et s2, 3
  55. et r +) 3 qual 1 3a
  56. 4 ah
  57. quia r. debet esse attirmativa
  58. hal s3a
  59. e
  60. 73 +69Z + 12927 +89
  61. -692 4-G9249: - 69, 49
  62. et fi mutatis signis rp 293 h - 39 al
  63. si r H q, seu ut sit 2h = 3al s
  64. dinus in eaudem deterim navem
  65. n p +aeh F ae h
  66. a
  67. +992. 484
  68. itaque tantum ipus est
  69. Ara
  70. ac
  71. ra
  72. affirmativa opus ut 27l 1 4h
  73. = 293h. ergo op t 3. si g. est quantitas
  74. si vero 9 si quantitas negativa debet esse contralium
  75. Sed tunc nec esse est ut
  76. Sive = 3al d H 2 h ubi rursus inc-

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 147r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0293?run=74