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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 445

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: 0.80.

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

The machine reads it as

  1. na
  2. B
  3. MM.
  4. co
  5. CnS
  6. t
  7. a
  8. 1
  9. im
  10. 1-
  11. i
  12. P A R A BO L A.
  13. PR OPOSTTIO CXCI.
  14. IIdem potiris: (i A BC, D F. F parabolx eandem habuerine alcirudinem
  15. Dico NOM rectangulum esse d rectangulum PO O, ve BR quadi2-
  16. cum ae Gual ILL.
  17. Demonstratio.
  18. F lineaRF ad lincaur OT, SC BR a quadrarum ad reclangulum N OM; et a ibid.
  19. e RI ad OT, sic R L. quadracum ad rectangulum, OOP; iritur ic BR qua-
  20. dracum ad NOM rectatoulum sic quadratum R R ad rectangulum POO, et
  21. permucando ve quadracum B R ad quadrAEUM R P, sic N OM rectangulum ad
  22. Corollarium.
  23. Incpater etiam rectan sau AK C. cNC ad rectanguluM D RF3 VE BR quaL
  24. PR OPOSIFIO CXCH.
  25. Sto ABC parabola dris A D ductaque ordittalim C D, sumatur in
  26. axc quaenis recta lL _ per P describatur parabora cuius axis HE
  27. F A, secans parabolam AB C in B, ee CD lincam in G. FaCtaG; AH X
  28. quali D E; ducancur L ordinarim ad AP in parabola F. CB, _ BF
  29. e communem contingenrem BF.
  30. rectangulum OOP. Ouod fuie demonstrandum.
  31. dracum ad quadracum R Li
  32. ordinacim ad ABC.
  33. DicoC. D quadratum esse ad quadracuim
  34. TKS VE F F linca ad F A. 1
  35. 1
  36. demonstratio.
  37. E ABC paraboia lacus rectum F, e parabo-
  38. DIxF GB latus rectum M. quadracum CD e
  39. quale est rectansulo D A L, ec quadratum IR
  40. requale rectangulo A L. M, eAt aurem AD linca
  41. aequalis R H, quia AR, L D aequaleS PONUneuTS
  42. quadeacum ioiur C D est ad IK quadeatum; ve
  43. L ad M. Rurtum quid Gadraco B E eam est X-
  44. qualerectangulum si A L quam E R MI: rectan-
  45. sula quoque F A L, P F M aequalia Cunc. igicue
  46. DE AF 2d E E, HC M ad L. sCd vE M ad L, RC
  47. LK quadedtum elt 20. C D quadratum, igIEUE vE
  48. AF dd F B, Sc IK quadracum est ad quadra-
  49. cuta C2lidoi
  50. lA caVEEU
  51. 15331 20L9V11 D
  52. prorott oneito
  53. ABC parabOl aXIS AD AGUAHS LALCIT LELIO CCHETOGBE A MIECI
  54. uallo quonis, circulus descrivacur cuens Barabola in B, C;axiin B,
  55. Ponacurque ad axem ordinarim BL.
  56. E Hl 3
  57. DicODF, AL, A F lineas concinué esse proporrionales.
  58. Demon-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 445. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0502?run=74