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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 416

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. mru
  2. D A R ABOL A.
  3. curlineis FFE +D, criangula AFD, FF FD equalia sunE. quare AD, Tubcendens angii-
  4. PRODOSITIO CXEVI.
  5. Seo A BC varabolX axis AV. EImpTaq AF quXe noir sit maior
  6. dimidio lareris recti, CemO F. incerualIo AP. circulus describatur
  7. Dico circulum A IIF contingere intus parabolam in A.
  8. Demonstratio.
  9. FTac A D linea aequalis laceri recto;
  10. se ordinatim, ducacur quaeuis GB
  11. occurrens circulo in FT. Duoniam
  12. AP. supponicur non maior dimidio
  13. laceris rectis cader P punetum supra,
  14. vel in ipsum D; adeoque ACi Rre.
  15. canculum minus est rectongulo
  16. O AD: igitur _ HIC quadracum;
  17. minus est quadraco BCr. punctum
  18. lipuncta, pexeter A cadere incra parnderam: circulus isirur ALIsi, parabolam
  19. Demonsttala.
  20. tum obeuliiin. A FD, maior CArecta YFD hoc est B D. Ouoderat demonstrandum.
  21. 125. b4
  22. TTF.
  23. AB C Mcerius in A Concingic. Mod erac demonstran duIm.
  24. SD, inEeruaIIO A D CIFCUTAS ACLCrIBAEUE AFC:
  25. Dico circulum illum incellecare parabolam.
  26. iricur H cadecinera parabolan. eodem nodo demonstrantut reliqua omnia oireu-
  27. O8IFIO CXXI
  28. Eo A B C. patabale axis. A D maior dimidio laceris recti: centro que
  29. GIac A E LINC2 XquaLIS MIMIIOIO laceris
  30. recti e pet I FECT pOnacur ordinZ.
  31. eim F B: dueacurque ex D pet B, linea
  32. DB Fi occurres circulo in L e parato-
  33. le in B. Duoniam A D maior est dimidio
  34. laterisrceri, arecta D B minor ost AD
  35. hoc est D F. punccumisicur F cader ex.
  36. era parabolam. quare circulus AFC
  37. parabolam secat. Quod erae deton
  38. Arandum. 1. 31 e13el 0.terit 10.
  39. L Et2LBCer CI. Et (SSSSTOSiCI
  40. DPOSITIO CXXVIII.
  41. occurrences circulo in L. ee C parabolx in FI eil, axi in IX. 1. ~ 40
  42. DicOF HIC rectangulum eC ad rectangULUI P. FI GSIVEFK B re
  43. ctangulum, est ad rectansulum F. K B.
  44. (2 it 29 (A ESp m. 15, 3 (1
  45. it Et 1. L A eis eutru S. 10aim oto Demet.
  46. Seo) A B C parabolae aris B D maior dimidio laceris recti, centroq. D
  47. ductacoc ex a ordinarim linea h, clcancur quoruis F. C parallel AF,
  48. inceruallo DB circulus desctibatur A F B occurrens parabol in A
  49. t esuet a ut sti n p ti itu s ut e e pti ee t A e eit 1 1 a t e e . u p

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 416. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0473?run=74