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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 697

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: 0.86.

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

The machine reads it as

  1. ed
  2. SPTR A L 15.
  3. COOSITIOCLAVI.
  4. aca Eic parabola AMP, quam cangac AH dinila in ConC prO-
  5. Porcionales AB, AC, AD, aec. ductisque diametris BI, C. K, D L.
  6. E M, dec. iunsc AL, AR, AH AM, etc.
  7. Dico leomenta omnia parabolica AP, AIR, AVL, ALL M,
  8. AIHL. MH, esse concinue proporrionalia.
  9. der
  10. Demonstracio
  11. 19 5
  12. Voniam sune in ratione estrinia linere
  13. LA B, AC, AD, dec. oeiam cubi harum
  14. linearum erunc in proportione concinna. AE.
  15. qui per 18. huiussegmeta coca parabolica AI;
  16. AKLA, ATI A, AMF A, Xc. candem inter
  17. se proportionem habene qua cubi AB, A C,
  18. AD, AB, ecc. Ergo eciam dictalegmenca
  19. Cune in concinua. Ergoper r. I. nostriprosrel.
  20. sionum eciam lunc illorum differentix, (eg
  21. MCNEANCIIPE AI, ALR, ARL, ACOLM. deC.
  22. concinue proporcionalia. Duod erac demon-
  23. Arandum.
  24. ADPETCAEDR SPIRALI.
  25. Aea lic Spiralis AAVBIS cuins li-
  26. nea, qua eAt in principio circula-
  27. tionis, nempe AFI diuila licin conti-
  28. nuc proportionales AB, AC; AD,
  29. ac. ac cenero AinteruallIS B, C, D, F,
  30. F, C descriptis circulis qui spiram se-
  31. cencinT,KE, L, M, N, O, iungancur AI,
  32. AR, AL, _c.
  33. Dico lermenca omnia spiralia AI.
  34. AIIL, AIKL, AIKLM, QC. cAccOn
  35. rinue proporriogalia.Am
  36. Demonstratio.
  37. Terstao
  38. a
  39. dem enim per 29. Acchum. de spirali, Cegmen.
  40. ca spiralia COTA ABI, ARBA, ALBA,
  41. AMB A, _C. ve cubi rectaTUI AL, AK, AL,
  42. AM, SCC. hoc CArCctOTUM AB, AC, AD.
  43. AF, _c. Sinegue hi in concinua, ob concinuam suorum lacerum rationem, etiaim
  44. dicta Ceomenta spiralia erunc in concinua rarione; ac proinde eorum differentix se
  45. BIEHCAneMPC AHIOa A, AONB A, ANMY R, ec c. cruncconcinue proporrio:
  46. nalia. Ouod erac demonstrandum.
  47. Symbolizac igicurrursum mirabilicer veraque figur2. Nam AK in Spirali ips AFF
  48. in parabola sive AP: BLO, VerO CRR, DL. S, dec. peripheriis BI, C HE, DL, 8C.
  49. respondenc. Vnde e legmenra seemenris respondeanenecesse eAt.
  50. Late Cace iua inparabola, (erualis Cl
  51. iamiildem vrrobiq; licreris: quandoqui-
  52. PB

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 697. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0754?run=74