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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 34r

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: 0.82.

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

The machine reads it as

  1. 2 Novembi
  2. 1679
  3. cujusque
  4. Hic discimus modum inveniendi progressionem serici
  5. generalis aequationis affectae, per differentiales ilem
  6. seu lamentum de demonstranda quadralicae impossibilate
  7. nempe
  8. na constans ratio series exprimendi servanda est, pper
  9. differentiales. Ita facilius postea comparando videbimus
  10. undata series per differentiales facta comparari possit
  11. i cum serie alia d infinita per differentiales, facta ex curva
  12. o algetraica. videamus et de aequationibus:
  13. SN + P X 4 qX B V sela fiet 3 X dx + p X dx 1 9 dx p dys
  14. stiat X sit X + pX H y. fier 2X dx + p ex B dys
  15. E5. sit _ XH a + by+ Cy + y + fy rgy + sqy dc.
  16. Prit du 0 +bdys + rcydy +3(3 u t af atus 4 593) de +6hy dy ponamus ayp 1
  17. it ex B 0 + b + 2cy +3By + afy + 5gy +6sy0
  18. Xdx B ba +ibby +ibcy +. 68,3 + bfy +bgy + bh Y
  19. treay tecb +2ce nce tief t2cg
  20. tea + 3e b +3eC, + 3ee +3Cf
  21. Si H a + uby + nC y + 2aey + 2a5y tragy + rahus
  22. + V y + 2bcy +2be y + 2b5 4+ 2bgy
  23. C y +2cey + 2cfY
  24. + e
  25. C
  26. quia evanescit
  27. patet jam progressio
  28. in infinitum
  29. ba 1fbab. y + Ebuc G ribaC y + ebafy + _bagy bah yb
  30. +bb +lbc 1+Ve +bF aplibg id
  31. trc a +2czab t2crac
  32. +bac gplce 1fbc5
  33. 2c2ac + 2C2af + bp2
  34. 12c b. 2C 2bc.
  35. 13e a +denab
  36. 30a 302ab. 3e eac
  37. bb
  38. +feab
  39. 2C2be.
  40. 2C, ce 1 4 c ile
  41. 3erac Be rac
  42. 3erae + 3e2af
  43. 3C2bc
  44. +fhac
  45. 4f bb
  46. 59 ab
  47. 6hae
  48. a9
  49. 302 be
  50. 3Ccc
  51. 14f2ae
  52. 4f2bc
  53. sgrac
  54. 5g bl.
  55. nutile hoic
  56. 6hrab
  57. inferiore lon
  58. ga supe
  59. amonium
  60. 3e2be
  61. esa
  62. de ex
  63. ab + 2ab y td abet 18 abe 1 + 1d abs
  64. + b3 + 4bc e+ 5 be
  65. + 3a 2 4ac + 5b
  66. membra
  67. s
  68. + 10ace
  69. temmnos prodo
  70. 5ag
  71. demto a. de et quoad numeros illud constante
  72. qui in cubo ab +
  73. servari mirable ut termini membra primaderminu
  74. 2
  75. omnia in lsisplicentur per 1 secundi pa
  76. numerum termo
  77. simplum si una duae sint
  78. ta tum literae, duplicatum, si tres; plures
  79. enim non conveniunt et hic, et ita habetus
  80. modus contituandi in infinitum ubi
  81. una tantu litera ea solum multiplicata per unitatem
  82. X d
  83. 7.
  84. patet omnis

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 34r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0067?run=74