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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. 306

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: 0.87.

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The machine reads it as

  1. De Proeressione Geometrica.
  2. CAP. 33
  3. 84. Icem, datio cerminominimo, rarione communi, d
  4. cerminorum omnium fOmma; A, R, S; dacur maximus. V.
  5. Nam (uc in PrOP. 7B.) SR = S = VR in A. FFBO SR - S +
  6. A= YR, _ dR n S + A u Y
  7. R
  8. 85. Ec, datis termino maximo, rarione communi, _ termi-
  9. norum omnie Cumma; V, R, S; dacur minimus. A. Cum enim
  10. (ut in Praeced.) SR = S + A = V R; eric (cransponendo)
  11. V Rm S R +S = A.
  12. 86. Icem, datis cermino minimo, ratione communi, d
  13. terminorum numero; A, R, T; dacur cerminorum omnium
  14. Lumma. S. NaM, DCFPF. 19. V = A Rd, _V R = ARE; Fr8O
  15. DeF PFOP. 68. S -- R A ARC- A
  16. R - I R = 1.
  17. 87. EC, datis cermino minimo, racione communi, et pro.
  18. Grestionis Camma; A, R, SS dACUIENUMCTUS CCTMINONUIM. T. P. P
  19. enim (uF in PCOp. 8 4.) SR = S + A =-VR =ARF (PCr P. 19, )
  20. Adeoque SR = S+ A =Rc. Ouarendum ixitur quota PO-
  21. cestas racionis communis R, aequatur quancitaci coeniex
  22. SR = 5 + A.
  23. 88 EC, Datis cermino minimo, progrestionis summa, et numen
  24. ra Terminorum; A, S, T; dacur communis racio. R. Nam
  25. (vC in Praeced. ) SR S + A = ARC. adcoque SR n
  26. ARE =S A. EF S- A S R RC. Cujus aequacionis ra
  27. dix est R, communis ratio quaesica.
  28. 89 FF datis Ratione communi, numero terminorum, et (um-
  29. maprogrectionis; R, T, S; dacurrerminus minimus. A. Cum
  30. enim C uc in praccd.) SR i S+ A = A Rc. ad c09; SR = d
  31. SR 5
  32. R
  33. =ARE L A. ENIE A = RC = L RCL 15.
  34. 90 Pari modo; Daco cermino maximo, cum ratione comunis
  35. e numero cerminorum; V, R, T; dacur Cumma progrectionisa
  36. VRa
  37. S. NaM PCE PF. 2O A = Ra) V. ErBO Pex PT. 68. S= R 1
  38. VE L RO)V VHC = V
  39. Rc mn Rd
  40. de

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. 306. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0352?run=74