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Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 35r

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: 0.76.

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

The machine reads it as

  1. dH
  2. - est-fBa
  3. (2) l,+ +f9a + 4eBga + 2 ef (3,2fBa
  4. Ba2
  5. A
  6. Calculus iste probus est
  7. x
  8. 3) 2 (4cga 2f ad es Ba + 2e P - 8 fg a (exga 4 ef a (4s ea
  9. (i
  10. B222
  11. te 92
  12. a4 mlicantg,
  13. C) + (16F eBa + 16f (a +De48eβGa) C 4f β3a) O. et crdinario ad extratendam
  14. 24
  15. Radicem.
  16. (1) 3eB + (D a f p (2aF), sive, ut obtineams tandem valorem ipsius e
  17. (12) er = 2aF. Eumque valorem substituendo in vlorem ipsius g, fier:
  18. (13)
  19. G1 +2af( 3af3 et - aBf
  20. 3a
  21. 3a
  22. Hos valores ipsarum, e, et g. repertos inseramus in valore ipsius h, aeq. 3.
  23. (14) ubi reperitur et eg +2F insertis ergo valoribus fier:
  24. (15) h p. 2f L24t3d + 26 445 a +8f5 3- 4β+25(a -25 B
  25. 9β74 sive h - 12 48) +2C8 - 18 +2 -6f -2f
  26. 9B138
  27. (16) Ergodenque h p, - 2F. Nunc ad reliquas Collationes pergendum est.
  28. (17)
  29. (18)
  30. ∞2 (5 + 8f Ba- 4afβ +251 a L.
  31. F 3BC bB59B 4aa, et proinde) Ip. 3s Ba BS Batis pa Ba
  32. b +, +2af6B cat
  33. Ergo l) 2frBa
  34. 252
  35. 3Ca2 H 9a
  36. (19) Frdras. LBcs ( + 29445 + g ca (45+ as ( es CCd a si as e
  37. 2
  38. 903f
  39. redab ) + (9 et (9 a et C B, d) à st Ue C 1 +2 a5- 10da
  40. 108
  41. sed quia haec i hic vator ipsius c dissentit ab eo quem superiore catculo inveni,
  42. ideo repetendus est atcutus eg.. 18.
  43. + 2eβda + eβ c + 2bβ9 a = bBF ha
  44. 2a5
  45. 33
  46. 2af
  47. 3
  48. =β5
  49. 34
  50. 25
  51. 3β
  52. +4af ed +2asc +26(5 =3F - 2f a
  53. 12
  54. + 4a f - 6βca
  55. 22
  56. 436a sed 1)se (14457461a (185 a
  57. 22
  58. +364)Bd +(1)4 fCC ( 4a 6βcaf, (18 f a. Mtoque C + 12 fa - 36 aBd
  59. pono adeoque TeCd +sBda + pC q + sBGa B 1a
  60. -ras.
  61. 38
  62. +onsdo
  63. ds 4 es
  64. est
  65. 3X
  66. 94
  67. 128
  68. = D1 fa - 36aβd
  69. 128
  70. (̸23. ased (Fei s) 24 as. H54B 5 + 113)a f Ba Cds, 2. 12 f a
  71. sive +24( et + 72aβe A 75l a, sive explrando C, = 225a (f 32a βd + 32pp ) 7sa
  72. Quae est aequatio impossiulis unde consequitur exitum sic quidem reperiri non posse.
  73. (20)
  74. (21)
  75. 22)
  76. 23)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 35r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068022:0069?run=73