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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 421

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. Primorecta BD non hc maioe dimi-
  2. dio laceris recti. dico BD lineam ese
  3. quaelicam: delcribatur enim cenero D in-
  4. teruallo D B circuIUS; CONEIHOEE IS PeF
  5. praecedencem parabolam incerius in pun-
  6. eto solo B: iitur reliquae omnes lineae ex
  7. D ad peripheriam ductx maiores suneli-
  8. nca BD.
  9. Sccundo BD maiorhedimidio laceris
  10. recti: cenero D circulus deleribatur2 CO-
  11. cingens ABC Parabolam in duobus
  12. punctis A. C. ducarurque recta D C: crie
  13. IIIA MINIIMA (VE PAECE) illarum que exD
  14. duci pocerune ad peripheriam parabole:
  15. ex daco igirur puncto D, lineam duxi-
  16. mus, dec. Quoderac faciendum.
  17. eROPOSIFIO CAXXVIII.
  18. (VICABC parabolae aris AD ma-
  19. L.ior latere recto; ductague ex D
  20. ordinatim linea D B, cenero D, interuallo D B circulus delcribatur BHC.
  21. Dico illum incer lecare parabolam in quacuor punctis.
  22. Demonstratio.
  23. Vmacur F D aequalis dimidio laceris rectii
  24. poscaue ordinacim P F, AGAEUFPCF F COn
  25. tingens F C, conveniens cum axc in G. Ouo-
  26. niam F C est contingens, de PD aqualis di-
  27. midio laceris recti, angulus b DF Ct rectus elt.
  28. quia vero AD linea maior est dimidio laceris
  29. recti, ED minima eAt CarUI C GUIX CX D ad
  30. peripheriam duci poltune: adeoque de minor
  31. BD ordlinacim posicai clreulus isiEuF CCHEIO
  32. D inceruallo DB, descriprus cader rlera F,
  33. ex secundum aliquam lui partem extra Para-
  34. bolam. Rurlum cum DB, minor dsic rectd
  35. AD, (cu D A maior sic larere recto,) cader cir-
  36. culus BHI C intra punctum A: ex sccundum
  37. aliquam lui parcem inera parabolam: Ouare
  38. ee in alio puncto quam A parabolam incerse-
  39. cabic. Similirer ostendicur circulu BHC, ver-
  40. sus parcem AC occurrere parabola in alio puncto quam in C; circulus igitur centrO
  41. D. inceruallo DB descriprus, parabolam se car in quaruor punctis. Ouod erae de
  42. monstrandum.
  43. LD. R O POISIT FOACZXXIX.
  44. CIEA BC parabolX axis AD maior lacere
  45. Drecto; poliraq; ad illum ordinarim DC,
  46. centro D inceruallo DC circulus delcriba-
  47. EuFCBF; Occurteeille parabolae in quaruor
  48. punctis C, B, F, G, d ex Bpuncto interlectio.
  49. nis ducarur B F ordinartr sd axcr: 1CWP cit 0d
  50. Dico F. D lineam aequale esse lateri recto.
  51. D A R A
  52. 32 Daiuo.
  53. brs. buirio
  54. 5117. ba
  55. d10. huindo
  56. 11I
  57. 11

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 421. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0478?run=74