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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 255

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. EL. L. IPST. S.
  2. Demonstratio.
  3. ECCE ABC elliphim diameter quxe cunque BD, ducan-
  4. Diurque ex B e D, incra sectionem parallela AB, CD
  5. dico illas incer se ese aequales. InHCNEO a CenETOF, &
  6. AB bisecta in F, iunse FE, e produc in C. ex quoniam
  7. F. F diamecer bisecat A B, bisecac eriam DC ipA AB, Pa-
  8. rallelam. Deinde quia limilia lunc criangula LB B, D F C,;
  9. CFIE D E adD C VE EB ad BF: 8 PermutandO VE D P
  10. ad F B, sic D C ad BF. Sed DF, BB RGUAREUE. CrZO QE
  11. BF, D C, que lunc, reiam ostendi, iplarum AB, D C dimi-
  12. dic. Ergo eE cOTE AB, D C aequales lune. Duod crat demon.
  13. Atrandum.
  14. Corollarium.
  15. InCtEgLIEUF IUNEtAS A E, R C ese in directum: cum enim laCCTA A F, F L X=
  16. ralia line duobus laceribus C G, GF. e anguli ae qualibus laceribus conten-
  17. aequales. paret AFF, CC F criansula esse inter le x qualia, ex angulum AB P X-
  18. rualem ansulo CR. Cm 2dc0que A B BC lincas in directum.
  19. P R O POSTTTO XXI.
  20. Inee per excremicates duarum parallelarum inequalium in ellips
  21. hducte, conveniune in eodem puncto cum diamerro, ad quam Or-
  22. dinacim poluxe lunc parallelE.
  23. Demonstratio.
  24. n
  25. ECCHE F CD ellipum due queuis paralletae in equales AC, F. F, ordinarim pon
  26. ordinauim Cbe Puncio Conene. ubia bimuacu ponntur ca sil.
  27. F. P ad alametrum BCh amba bilecancur in C, e Hl. vnde AC, ad 6C v L,IL
  28. sitam ad diamerrum D B. dico iunccas B A, F C cum B D diametro quam sCCANE
  29. at TIF. ec permucand AC ad LIL, HOCC ad HIF. Concaac tam F A cum
  30. diametro in I allera vero C ll. Cueson1et al 211, C211 ad 12. ll
  31. etiam ve IC 2d LF HC AC de AL, eA enim R C ad RF, VEC C ad F HI, hoC
  32. eAt, ve ance oltendi, De AC ad FFI, hocCRvETC ad IFI. ergo puncta L _C R
  33. erac demontraiaum.
  34. eadem lunc; ergo pu L.L13 L. abU
  35. LRC.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 255. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0312?run=74