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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 680

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: 0.91.

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

The machine reads it as

  1. SPIR AL15.
  2. PROPOSTTIO Z1
  3. Archimedis 20. applicatur parabola.
  4. spiralem in primareuolurione factam recta
  5. Dlinca ceriserit non in termino spirx (B) à con-
  6. cactu vero (C) ad principium volurxe, recta iunsa-
  7. cur (AC,) cum cenero quidem principio voluras
  8. incervallo vero illa iuncta (interuallonem pé AC)
  9. circulus describaturs a principio praecerea spiralis
  10. agatur aliqua ad rectos angulos ei, que a contactu
  11. ad principium helicis iungicur (nempe AF, )cadet
  12. In TANOENEOM (C F,) e eric tecta (C F) inTeTCON-
  13. curlum de principium helicis, aequalis arcui de-
  14. Ccripei circuli, qui intercedirinter concactum de
  15. sectione, qua lecar deloripcus circulus principium
  16. cctacto, Cacto in ancccedentibus arcu d
  17. panelo, surelt in principio circumuolurionis
  18. APPLLCAFFO.
  19. Ata Sic spiralis ACB, et parabol2
  20. AC B cuius axis (IC AHI, tangens
  21. AB, diameter BB lubCensa AB. FIAE vE
  22. inspirali AD ad DB, ica in parabola AD
  23. ad DB, ee ducatur DC D parallela BB.
  24. Duoniam igicur (vr octendi in 13. huius)
  25. ADBcam Cuperior quam infcriorrepre.
  26. sencac, primam rectam in spirali ADB,
  27. quemadmodum recta BB refere periphe.
  28. iam BB, ita recta D C. D reterr periphe
  29. riam DC ID. Ex quo iam le quieur arcum
  30. DTC exhiberi a recta DIC.
  31. Dico igicur si recta quaepiam tangat
  32. parabolam in C, ab lcindi ex axc producto
  33. AFaequalem ipsI, DIC, qua repraesen-
  34. cabac arcum DIC, plane ve in spiralitan.
  35. sens C Fauterebat AF aequalem cidem
  36. arcui DIC.
  37. Demonstrario.
  38. Veatur CC parallela ad AB, per3S. L. Conic. F A xqualis eA AG, hoC eAt DC.
  39. Chocestarcui (DIC.)
  40. rurlum isicur habecur similieudo. Quod erar demonstrandum.
  41. Marifectum Archimects y. G 1) lubiungitur, eadem prortusratio
  42. applcanau eC.
  43. i s e u e te t Ae p t e 1 . t t eta et ti s 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 680. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0737?run=74