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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 377

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. Il A
  2. L
  3. ARS SF C VND A
  4. Tinearum in parabolatam continuam, quam discretam
  5. contemplatur proportionem.
  6. eROPOSITIO ZXXII.
  7. IE ABC parabolx axis AB, in quo assumpro quouis puncto D, cdu-
  8. Dcancur ex D ad peripheriam linca DB, DC consticuences angulos
  9. ADB, CDF aequales; cum recta ponantur BE, C F ordinarim ad
  10. AZCM A F.
  11. DicO AE, AD, AF, in concinua esse analoBiA _CONFa.
  12. Demonstratio.
  13. roniam LB, C F ordinatim pOsEx sunE ad AXEM,
  14. Lanouli BFD; C FD rectilunE: aequales aurem po.
  15. nuncur anguli BDB, CD F, Similia ivicur sunc criangu-
  16. la BED, CFD: _ VE BB ad FC, HC F. D ad FD: x2-
  17. cionis aucem F. B ad C F, duplicata csa rario AF. 2d
  18. AF. ergo e duplicaca est racionis F D ad D Fi. unde
  19. AB, AD, AF, concinue lunc proporcionales. ve Facile
  20. deducitur ex prima de progresl. Geomerricis.
  21. Sintiam proportionales A F, AD, AF, Postilque OF-
  22. dinarim BF, C F: iungantur BD, CD: dico angulos
  23. BDE, CD F. aequarr. cum provorrionales siInE AF, A D.
  24. AFi racio AF ad AF duplicaca eA rationis AD ad
  25. AF id est P D ad DF, sed eriam racio AH ad AF,
  26. duplicara eAt rationis B F ad C f, igicur ve P D adDF,
  27. HC BF ad CF, _ vE D F ad BF, SC DF ad FC: vn-
  28. de cum anguli proportionalibus laceribus concenti recti sine, similia sunc criangula
  29. BED, CFD, X anguli BD F, C D F aequales. uod erat demonstrandum.
  30. ROPOSTTIO XXZIII
  31. CUA. DC parabole diamerer AD divitain FI, DF,
  32. LDVEAH, AD, AF corinue linc proporronales: pO-
  33. nancur aurem ordinatim linee IIO, DB, FC.
  34. Dico illasin concinua esse aMalosia.
  35. Semonsctata
  36. ex dupialam allohc habeanc lincarum CH. BD, CF.
  37. DAacOV; cum A H, A D, AF Cinc continus proporrionales

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 377. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0434?run=74