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Machine transcription of the Leibniz Nachlass

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Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 243

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: 0.85.

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

The machine reads it as

  1. t
  2. De Procressione Priihmerica
  3. M = = + F. 3
  4. a +E:
  5. A + a AFa at E +E C; HI+ V n, N+ v LnFF +C Co
  6. 13 Sed _e idem obrinet in Rrichmeticis progrestionibus con-
  7. cinuis. Ouod similiter probandum exie. Puca, E cum A, B, C.
  8. D, CUM a, B3Y, 8,3 CUM a, b, C, d, s. 3 CxUnE At a = a-
  9. B+B = b, C +3 i C, D + st d, i
  10. 44 Ec quidem, licec altera progressio crelcens fuerie, alcera
  11. decrelcens.
  12. EA + C A + ZE, A F 3E, A + 4F,
  13. Pura
  14. CD C9 V n 26, V 1 30, v 4D,
  15. Ouippe axeresatorum excessus continnus eAt P. = e.
  16. Aeq; hujulmodi complures proportionalium immutationes e
  17. comparaciones facile eNer cum comminilei cum demonttrare.
  18. erum illud hand est necesse, sed cujuslibet potius arbierio per-
  19. micrendum, uc id, proue opus Fuerie, Prore nata curce; et eum
  20. res pottularericiple perticiat.
  21. 45 In conrinua proprestione Arithmetica, Aggregatum ex-
  22. cremorum (L = At V) per numerum terminorum mulei
  23. plicacum T, cA duplum Cumma terminorum omnium. Hloc cA
  24. TZ = 25. Progrectionis ter-
  25. mini ordine directo Ca primo a + a = Z- A + V
  26. Inchonci) dicancur a, B, C, d, _c. b + B = L
  27. Tidem cermini ordine recrogra c+ 7 = Z
  28. do (abulcimo inchonci) dican- dI5 =-Z = A F V
  29. cur a, B, γ, s, _C. Quoniam igi
  30. EC.
  31. TUE, per PrOP. 28. cum a + a S+S =TL = TA L TV.
  32. cum b+B, cume t Y, _C. X-
  33. QUAnEUE AEBTESATO ExFremOrum A F V =Z: erunt omnes
  34. ag b, C d, _c. cum omnibus a, B, 3, 5, _c. requales iph L tories
  35. sumpro. Hoc est, omnes cerminibis lumpei (nempe, tum or-
  36. dine directo, cum ordine recrogrado,) aequantur extremo ag-
  37. freeaco Z rories sumpro quot sune cermini. HOC eA TZ = 25.
  38. 16 Idem ralet in quatuor dilconcinue proportionalibus A-
  39. rithmecice.

Cite

Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 243. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0289?run=74