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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 32r

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

The machine reads it as

  1. octrina de le riebus infinitis Arithmetias, intervalla ninctum assignabilia
  2. habentibus scapte natura intractabilis; non s ope Geometriae provehi potest.
  3. Ope autend Geometricarur demonstrationum innumerae in ea detegi possunt
  4. novac aequationes etharmoniae, eaeque forte inductione notis multa admorandir
  5. adscriptae
  6. Cum dentr pometrice dentur multorum arenum circumferentiae sygnot
  7. isio daturae.
  8. ideo atque inter se; exprimantur duo sectores curque seriebus istis infinitis.
  9. Cumque detui ratio sectorum dabitur et ratio senerum V una alterus
  10. dupla sripla; etsi hoc ex ipsis forte nemo mortalum sit agnituru
  11. Ex Tamgenleserniarus invenitur tangensarius ipsius resula bieni a pellio
  12. tradita
  13. 3a 343, ra ga
  14. tc
  15. 105
  16. 250
  17. 10g
  18. 1000, 00d, 30d, , 1009, 00V, 0v0, ory, 00o, ens 104, 009, 0ri, ory cv0, orvva
  19. 14. 2a 2 a - 2a n a 1a mer
  20. = u5a - 1894 + 135a - 105
  21. 945a
  22. 1
  23. iis
  24. 1000, 114
  25. aa
  26. EE
  27. et bit bde
  28. bd3
  29. Ego a , b - am + bl F C = amn + blr + CIm etc.
  30. Imn
  31. Im
  32. Atque ita semper quilibet terminus in caeteros omnes ductus
  33. intelligetur, demto qui e ubscriphus est. Atque hoc est
  34. Eompendiosa ratio reducendi quotcunque fractiones ad eundem denomina.
  35. torem, nimirum termini omnes ducantur in, se, H Inde ai quot sunt
  36. termini tobies ad hibeatur productus, aliquo termino minatus dmupa q
  37. u
  38. nat
  39. et i resituum in eum numtatorem ducatur, qui est subtracti noraloris
  40. I. ita praectera habetur ralio, eaque universalissina
  41. 91
  42. 3)
  43. lmnp
  44. lun
  45. imap = pa
  46. Factus Nominatorum ducatur vi summas numeratorum.
  47. inveniendi fractionum summas:
  48. a poducto anferatur summa factorum ex quolibet numeratore in suntu
  49. nomindorem.
  50. vel fiet
  51. e. g.
  52. lmnp 4)
  53. lmnp b divisu prlmap.
  54. lmmpa
  55. linmp 2x.
  56. Ergo nihit an
  57. ducu
  58. am
  59. p
  60. dumn
  61. 720
  62. 220 -
  63. at b.
  64. n
  65. 42 +34
  66. at b+
  67. in
  68. marh. A

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 32r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0063?run=74