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Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 141r

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: 0.72.

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

The machine reads it as

  1. q0 ic enuntiare malim: Data rectam AB, ita dividere in C et producere in D
  2. et praeterea AB media proportionalis inter AC et AD.
  3. e
  4. ut sit cubus AD = cub. CB = cub. AB.
  5. (1)
  6. 63 et bb = aa-ac
  7. substi valorem ipsius bb ex aeg. 2 substituendo in aeq. 1 fit a+ aet ee ba
  8. en addendo in unum aeq. 2 et 3 fil bb + ba = Eaa + aC quae est aequatio
  9. ad circulum, (posito sia et e esse incognitas) ut aeq. 2 est, ad
  10. a
  11. Uxx + 2lmxy + mmgus - lnx
  12. orte
  13. cubas
  14. media
  15. rec
  16. bb + bbx + mbV
  17. unxx + EppXy+pBgy.
  18. c
  19. adeoque
  20. et qu
  21. Er
  22. s
  23. p ex 10
  24. n=
  25. Hyperbola
  26. e= nX+ py et
  27. lpXy-mpy
  28. almi anp=
  29. sil
  30. e
  31. L 2Im: W = 2l - mn.
  32. 4
  33. pn- 2ln Ergo n- l=Is.
  34. pomata
  35. l
  36. 1+ V3 et p= - 2M. 1+ si
  37. paaleres o
  38. et igurum
  39. seuri
  40. praeterea
  41. MM= mp, est cg0.
  42. n 1
  43. et aeq. 7. fressat circulum, at
  44. fiplibolata vec
  45. 1+ 2:1+S
  46. is g. 16. 17. 1C
  47. Il sr esportiona disson fieri
  48. impesier compendii cauta sit 1+ 13 = h ficc nmt immh nm +2mm: h
  49. ss
  50. aelina ad
  51. bs
  52. mm-mp. 13
  53. .2Mm+ pP: 2 lnioet equa fierent aequaves 7 et
  54. c
  55. h.
  56. Ellxxt almxyt 2mmysy +
  57. 3 fiet
  58. V 2U
  59. en
  60. U
  61. eiti quatis seu U = um +Enlm
  62. 121
  63. e
  64. itaque sublato, res non est in potestato evavescente arbitraria
  65. p
  66. at ad tollendum ubique ae, fiat a = _ lX + my es
  67. fiet b
  68. ((Z
  69. fiat lp4 mu=dlm. rursqu
  70. te ut
  71. prae
  72. calculus sit AB, b. et AD, a et CB, C. fiet a-
  73. ex aeu
  74. et
  75. (
  76. e
  77. )
  78. g ambe ad circulum
  79. 2+th= 2mm+ anm.
  80. nec proinie anea aequaoes
  81. sunt esse ad cirentum nnet tam. h D4: si + hih +2h, F (3 +4: hh. seu eh + h + 2h = 4. sed quia
  82. Grdata praedideo hanc aequavem fore impossibilem nam probrua colidum
  83. ita
  84. vrodac
  85. s
  86. ecte
  87. N
  88. ninus

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 141r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0285?run=73