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Leibniz-Handschriften zur Mathematik LH 35, 4, 13, fol. 19r

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: 0.79.

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The machine reads it as

  1. calculus per divisiene loco multiplicationum x loco ac
  2. 2g. octob. 1675. observatio venit in mentem, qua possitit omnia reduci ad meres terminos simplices continuaru
  3. divisionum cum contra rdncere soleamus omnia ad terminos continuarum multiplicationum.
  4. At-
  5. X. reducamus. multiplicentur omnes termini d fl. fiet: Slbfl + cdl + cgl +icflX
  6. Rursus multiplicetur producta aequatio per beh, fier:
  7. b 11
  8. e
  9. t
  10. a eflh + bcdhl + bcegl p bc efhl X pria autem expressio aptior ad
  11. ed quideo id ineptum esse, si hoc modo explicetur, in
  12. itaque sic explicabimus quasi esset:
  13. tribus, nm in rei veritute
  14. a
  15. ca
  16. b
  17. a
  18. constructiones lineares
  19. ipsum C. dividere ipsam a. tunc enim
  20. nam et continuari posset hoc modo (. sed sufficiet nos uti his
  21. C
  22. et vero statim reduci potest ut
  23. exprimendo evitaremque omnes multiplicationes, sivi sic diceremus
  24. a
  25. e idem
  26. d
  27. a
  28. est
  29. quod
  30. sive sic
  31. a
  32. C
  33. a
  34. Bc
  35. ac Intemm hoc modo
  36. bd
  37. a quorum illud
  38. e
  39. ac
  40. 6
  41. a
  42. hrc
  43. venim Jam rinc ostendis natua rerum non divisionem sed multiplicationem eise reglem, quia aptrorem, quia
  44. ae nituraliore
  45. e
  46. in ipsa nullae lineolae necessariae ad exprimendam variesolem. Iuterum leges calculi hujumodi tradi possere
  47. nempe si Ex velimus educere ad meras divisiones, non poterimus aliter quam scribendo sic:
  48. sed videndum quid si in compositis sive compichensionibus, ut
  49. u
  50. b+
  51. C
  52. 2
  53. aba
  54. a
  55. sic
  56. 4
  57. bc e
  58. e
  59. b =C FH. tunc vero apparet in commodita
  60. divisionis fiet eum b+CH . sed non potest a reduci ad terminos simplices, nisi infinitos; nec
  61. b-C
  62. b-C
  63. sso fieu nominator simplex, quemadmodum numerutor

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 13, fol. 19r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068010:0037?run=73