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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 471

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: 0.77.

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

The machine reads it as

  1. in
  2. Mer
  3. eum
  4. UI.
  5. ula
  6. 10
  7. sed
  8. Itam
  9. FC:
  10. nea
  11. uoi
  12. ad
  13. am
  14. B
  15. 5u.
  16. InE
  17. im
  18. AM.
  19. an
  20. B.
  21. M
  22. n.
  23. luS
  24. A
  25. 6
  26. 6.
  27. in
  28. P A R A BO L A.
  29. eNe, estque angulus BC A seu B C FF equalis angulo R. C1BD DCC criangulum
  30. inile criansulo HIEK igicur cum FO, C A media a sinCHCEC C C. C. B, ellami 1. a Ea odu
  31. cet HL, LK invenca crunC media.
  32. PROPOSITIO, CCLL
  33. AbeanEdux parabolX ABC, AFB communem axem; (IEG: AB
  34. Alinea laceri recto aqualis parabola ABC, ductisque ordinarim
  35. BFC, LD, CE AD E parabola aequalis AFB.
  36. DicO AF, F. D, medias esseinteT F B, B A.
  37. Demonstratio. T120
  38. Voniam AB ex hyporhek est latus rectum patabo -d
  39. la ACB, rectangulum B A F. X quatuT a guadraco.
  40. ED. iBICUEVE B A ad F D, AC F D ad A F. Deinde
  41. quia parabola aequales sunc, aequantur eriam b rectan.
  42. Sula AFD, ABF. FrgODEB A ad F D, sic reciproce
  43. AF. ad B F. sed cum oAtendi vE B A CA E D, SIC ED
  44. eAC 4d AP, erBO VEFD ad AF, SIC AV ad BF. li-
  45. quecisicur quacuor rectas B A, F D, A F, BF esse in con-
  46. tipuganalosia: ee proinde incer B A, BF, medias ese
  47. FD, AF. Ouoderac demonstrandum.
  48. nrsao
  49. PROPOSITIONCOLII
  50. Nter duas datas, duas medias extribere.
  51. 2090. Amil Stonnt
  52. rdqri a oet Constructio e demonstratio.
  53. JACE snE AB, BP, quibus ad angulum rectum disposiris deseribe patabolam
  54. AC circaarem AB, cuius rectum lacus aequale sc ipsi AB. occurrac dein-
  55. de BF. parabola AC in C, e circa communem axem A B aliam delcribe parabo-
  56. lam per A _ F. Demumc ducatur ordinacim D F, Faciens lesmenca parabolica 5 Fx 242.
  57. ex precedencimauitecta est.
  58. uiuiso
  59. 272
  60. b
  61. =Corol

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 471. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0528?run=74