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Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 23v

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: 0.77.

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. 24r); this page is its left half.

The machine reads it as

  1. (43) ponamus
  2. 45).. 3... h
  3. 1
  4. eco-
  5. i 5co st
  6. sc
  7. ua pure.. e evanescet.
  8. A(7) Ponamus figer
  9. (4 sin 1
  10. (16) ponamus sei C+n
  11. Unde ex aeq. 42. fiet
  12. S anent hethu ase
  13. C
  14. (55) unde rp. g. Esea (x qp (.P B 1
  15. + ngel + 297) +2a spC
  16. (9) ponc P 1 1 + B 4 ber:
  17. C +cP +etcl 2
  18. 2) ponamus 1+ 2 ⊓ m, sive
  19. 6+) Ei ex aequu 62 fer.
  20. in + 16 m P Vgc-gn 2f clgn 1 2g5 c
  21. sive ol aeq. 62 Y 2+ 2
  22. (6,) fiet ex aeq. 64. sequens:
  23. IAg
  24. et habe
  25. bituus pure valorem ipsius 9.
  26. Sed ita erit B. onC per consequens,
  27. SHC, quod est absurdum
  28. Non ergo sic licet
  29. Resumta aeq50 ponc
  30. (68) hri 5- c, et exrus Vofict:
  31. (69) suc + rfel-
  32. Eodem modo res successisset si
  33. (50) h 25d a - 54c se
  34. A conservandae solutionis Univer-
  35. salis causa, posuisses
  36. CM. ry
  37. aequationis 50 vel 69. habuisses.
  38. (72) 5c p + 2fel
  39. TV ItE
  40. s- c+35 (73) quae solutio est Universalis, id
  41. lonamus ser sri
  42. (52) pone he 5 +C,7
  43. (3) Fai ex 49. 51. = stC
  44. (4) hgq s+ F + 4
  45. 144 1 + c, t pusi
  46. Et habetur valer ipsius P
  47. HC + c, )
  48. Et p H 1 + (19d = 9
  49. aequari vundamatoquee
  50. =C+ + pSHI
  51. () Ego Bpy c + 19
  52. f71
  53. f+17
  54. . (70) sive 5-c + 2fel - sc.
  55. Aequatio 42. dividatur
  56. + 35, fier
  57. B +isc
  58. e ex aequatione 50 fiet
  59. v
  60. Unde s Cp () + rcutri
  61. per 5- ch
  62. alee
  63. ec (65). bone se = m. seu C + mj 0.
  64. Ergo valor ipsius C habetur
  65. Et erit C
  66. au
  67. est nihil assum simus quod non
  68. omnibus numeris conveniret.
  69. Itaque aequatio quam invenimus
  70. vera est in omni numero
  71. satisfaciente.
  72. Operae pretium est autem omnia.
  73. repetere, ut Easculi secori simus
  74. L. AH qu ∞C (7) Ergo Z 4 C
  75. 2u4 1

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 23v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068229:0046?run=74