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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 496

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: 0.83.

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

The machine reads it as

  1. R ABC
  2. d
  3. DR OPOSITIO CCCI.
  4. Sumpeum (ic in A B C Temicirculi diacero AC, punctum quod.
  5. Lcunque D, quodcontrumnon sic, d ex Dad peripheriam, rectae
  6. AlICANEUE DF: asanturqueper F, linex , Ahales ad diamerrum
  7. AC, _ D F rectis aequales.
  8. Dico CC puncta essc ad parabolam.
  9. 2 FX 17. h.
  10. bFXI3I.
  11. cl34. hu.
  12. 4.
  13. F
  14. primo
  15. Demonstratio.
  16. Rigatux ex D linea D B HOF.
  17. Lmalis ad diametrum AC
  18. aetaque per B concingencC, que
  19. AC, diamerre dac H.
  20. sececur IID bilariam in I: e
  21. per I_ B, describatur parabo-
  22. la habens IC aXCH
  23. DB, ordinacim polica est ad
  24. 2ZCM IC, QD L
  25. Il li
  26. quales, contingee HIB linca
  27. Parabolam in B: quia vero in eodem puncto, eadem leca enculum concingic, con-
  28. cinsene quoque Cele in eodem puncto b circulus ex parabola guare DF lineis cequa-
  29. les luntrectae F C. Igicur cum P F. C: lince normales ad diamerrum A C, rectisDF.
  30. ponantur aequales, puncta C, C ad d parabolam lunc: cuius apicem astignac punctum
  31. in quo HID dividicur bitariam.
  32. R O
  33. 1O CCCIr
  34. arabolam priori propolirione productam in intinicum eademm praxi
  35. extendere.
  36. Constructio ex demonstratio.
  37. un
  38. Occurren(
  39. querectis FF in G. Ouoniam
  40. a X
  41. lat C D, aqualis C F, Parallela BD: eric F ad parabolam MBEI, cum omnes
  42. DH cransaEX Cin C F. FI ad parabolam linc. Fact a deinde CM, aequali MN, Epo.
  43. e Coninedo Patabolam, e crisacu Perpenaeuas dd HF Cons
  44. encemi cenlbq; O inceruallo FO circulus describatur; contingec illeo parabo.
  45. Jam, dL deam in F: cum parabola describatur, h gux ex descripio iam circulo
  46. KF P, oritut; Hac quoque concinget circulum R F P _ NF, LInCam II F, Be in PHO-
  47. eiproxoncione oltensum est; verrex igitur ejusdem estin MI, cum MC, C N linex X
  48. quales linc: erg Palabbla Illx dux communem habenererticem M, e punctum li
  49. vnaigitur cadem que tanc parabola, qux per verumque circulum cst delcripta: ergo
  50. circulus LFs Paladoum priori praxi de scripcam producic: acque ita cadeM pata.
  51. bola cadea praki i inthICum COnEMHaBIEuT. Quod eras proxolicum.
  52. NaCUE
  53. l RO
  54. s o o u s le

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 496. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0553?run=74