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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 60

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. E E C F. VTI.
  2. bini, eodem ordine sibi respondentes, termini (puta D, P in prima, e
  3. P, R in secunda) erit A : D. A - : F :: M =: P. M -3 R.
  4. A. B. C. D. F. F.
  5. Mt. IY. O. P. O. R.
  6. Nam harum rationum utraque par est illi, quam habent ad se nnme-
  7. ri N, M, quales in praecedenre delignari Tunt.
  8. Eli vero Numeri N, M vulso rerminorum, quibus aptantue, expo-
  9. nences, aur Indices vocantur, in sexie quaris proportionalium; quales
  10. nos semper in sequenribus intellisimus, ubi liceras has achibemus.
  11. XIII. Sint quaelibet quanta A, B, C; D, F, P continué prOPOE-
  12. cionalia Arithmerice; nec non alia roridem, ab eodem termino A in-
  13. cipientia, Geometrice proportionalia; siE au-
  14. rem illorum secundum B non majus horum sc. A. B. C.. D. F. F.
  15. cundoM; erit quodlibet in serie Geometrica
  16. majus eo, quod ipsi coordinatur in serie Arich.
  17. metica.
  18. A. HI: BI. O. P: D.
  19. EA enim A -) NC 2M (vel C) 2B =A. 7. C. ergoNC C
  20. undeM- 1 NL B -]C = A J D. F.Ct anteM A -]- OC, M - )
  21. N. ergo A. I. OC. A + D. EtidedOL D. CrgO M. . OC
  22. B. .D = A. ). F. FCE autem A. ). PC M f O. CrGOA 1 P
  23. L A J F; adcoque P C P. Cimilique porro discursu quoad
  24. velisa.
  25. XIV. Bine, (I rursuS FuerinE A, B, C, D, R, F Rrichmetice,
  26. ec R, M, N, O, P, Q Cinc: Ccomerrice; sirque ulrimum Fnon
  27. mirus ulcimo Q; erit B majus quam M.
  28. Ntam li dicatur B non majus quam M; erit inde P minus, quam
  29. conera hyporhesin.
  30. Aceta; iildem positis; erit penultimum E majus penulrimo .
  31. 2V. Nam sI F = 9; constat ex praecedente Fore PL P (scilicetu
  32. tranique seriem invertendo) sin FC Q. Poriori jure liquet Fore
  33. E P
  34. metica majus elt coordinato quolibet in lerie Geometriea; puta, C
  35. majus est quam LI.
  36. Es
  37. -L. umenum, iildem poliris, quolliber in Perie LALMI
  38. 8
  39. i

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 60. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0280?run=74