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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 5

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: 0.90.

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

The machine reads it as

  1. POTFNELA.
  2. In 2. fgura est FD linca in P. _ C divila media eE CXITCMA FATIONC PFOPOr.
  3. cionali.
  4. PROPOSITIO VITI.
  5. IE angulus AB C dinilus bi- C.
  6. Fariam rectâ BD, ad quam
  7. crecta ex B normali BF, agacur
  8. linca quacunque P. C per pun-
  9. CEum D.
  10. Dico E G lineam in F _ D,
  11. media _ extrema ratiONCPFOPOT-
  12. cionali cediuilam.
  13. Demonstratio.
  14. DOnacur per D, linea A C, paralleta reCtXBB: OC.
  15. currens anguli ABC laceribus, in A _C. Duoniam
  16. isitur A C linea aequidistac, rectae FB. qua normalis
  17. ponitur ad lineam BD, crunc anguli ADB. CDB rC-
  18. cti; lunc aurem per constructionem, e anguli ABD.
  19. CBD inter (C aequales, ec BD linea communis, igieur
  20. criangulum ABD aeguale cscriangulo CBD, e AD
  21. balis, aequalis bas DC: ISIEUFDETPERCCdeNLEI VE F. C
  22. ad GD, SIC F F ad FD. Ouod erar demonstrandum.
  23. In 2 Egura linea CD. diuila est, secundum medliam
  24. de excremam rationem proporrionalem.
  25. PR OeOSIFTO
  26. ISeo ABC erian-
  27. sgulibalis AC, in
  28. D bitariam dunla, iun-
  29. Atilque BD, aGATUE PCF
  30. B linca BF, varallela
  31. ba(I A C; dein ex C, rC-
  32. Eta dUCAEUFC E OCCUY
  33. rensricunquelinea BF.
  34. in E, BD rectX inF, _
  35. laceri AB in C. Dicoin
  36. prima fgura: lineam
  37. F C; in lecunda lineam
  38. F C; intercia rectam F G extrema e
  39. media ratione proportionali esse di-
  40. nitam.
  41. Demonstratio.
  42. Onontam AC, L B. CH linex Xqui-
  43. distanE, erie AB ad BG. VI CF ad G F;
  44. sed eA ve AB ad CB, sC AD ad CFB
  45. Vescur CFTlinea parallela baA AC;

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 5. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0062?run=74