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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 640

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: 0.89.

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

The machine reads it as

  1. onta.
  2. FTY PE R BOL A.
  3. PRODOSITIOCCMI.
  4. gulis G F. F a qualia quadFata F. IL.
  5. Onea vero DC secot circulum in punetis A, C. Ranc quoque recran-
  6. Dico A HIB elle ad candem us perbolam cuius lacus cranluertum AC.
  7. Demonstratio.
  8. Voniam P. FY quadraris xqualia sUnEreCtan-
  9. sula CL Fi quadratis F FI, aequalia quoque
  10. Luncrectansala AF C: (cum AFC, G F F re-
  11. CtanGUIARQUEHEUT) quarCVE, AF. C ad AF. C,
  12. rectangulum, ita quadratum F FI ad HI F qua.
  13. dracumsigieur AFLB sunc ad hyperbolam, cuius
  14. lacus crantuersum, AC.
  15. PROPOSIFIO CCVII
  16. cac aurem hyperbolam AHB
  17. prouucere in infinieum.
  18. EInGENECPOSITa NYM QUC LGNtCE D B, PONANEuT PrETCTCA K P parAIlelX cOn-
  19. tingenti: denique hanc rectangulis DR L aequalia quadFaTA RL. DICO AHBLM
  20. esse ad eandem hrperbolam. est enim rectangulum A N C aequale quadratoNIM, _
  21. ARC xquale quadrato RE, quemadmodum rectangulis A P. C xe qualia lunc qua-
  22. deaca DII: isitur cum rectangulum CF A ad CR A, eandem habeac rarionem
  23. quam quadracum F FT ad R L. quadratum, manifectum es AFTE MI esse ad candem
  24. typerbolam cuius eransuersa diamerer eAt AC.
  25. lROTOSIINOCeNI
  26. Demonstratio.
  27. Vadraris F FY aqualia lunE
  28. Lrectangula A P, C; sCd PH
  29. quadraris xequaeur quadrata FI.
  30. quadratis igieur F Lae qualia (uNE
  31. rectangula A F C: quarECFA
  32. ad C F. A rectangulum est vi
  33. quadracum F E 2d K I quadra-
  34. cum: puncta igicur CTI ad hy.
  35. perbolam lunc. Ouod demon.
  36. Atrandum erat.
  37. Tirculum ABC concingac DB, cuiponaneur aquidistantes F F. li-
  38. Consratio demonstratio.
  39. DEepunce AC delcribatur circulus C A _L cuiuscunque magnicudinis; d con-
  40. Ontingane circuli ABF circulum AD C in A. acta vero communi
  41. AdIaMCETO AE, DOnatuT C C normalis ad AF. occurrens cireulis in
  42. OFI: d hanerectis F FI aquales P. I que aequidistene CC.
  43. Dico C II esse ad eandem hyperbolam cuius latus cransuertum AC.
  44. PR O.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 640. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0697?run=74