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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 211

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: 0.91.

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The machine reads it as

  1. C. TR CV L. V S.
  2. PROPOSITIO LXXXII
  3. DEx extrema diamerri A B circuli A B C, circulus deferibatur ADB,
  4. POlicaque AC, quXOCCUTEaE AD B perimetro in D, demittatuF
  5. hormalicer D F ad diametrum AB, iungancurque DB, C B.
  6. Dico rectangulum ex AB, DE, ad rectangulum ADB, cam rario-
  7. nem habere qua eA incer rectas CB, DB.
  8. Demonstratio.
  9. Voniam ansulus AC B in semicirculo rectus cR
  10. adeoque aequalis angulo AF D; _E AF D, ACB
  11. criangulis COnUNIS ANGUIUS D AF. CTUNC AD F, AC F
  12. riangula limilia. rule ve AB adt C B siC AD ad DF.
  13. _C ABD F. rectangulum aquale rectangulo AD CB:
  14. Ced rectanguluns AD CB est ad rectangulum ADB v
  15. CB ad DB, igicur de rectangulum AB D F ad rectan-
  16. sulum ADB csrc C B ad D F. Duod erac demon-
  17. ctrandum.
  18. PROPOSITIO EXXXIII.
  19. Ceurrat circuli ABC dIAMeEEO FG In F.
  20. orchosona AC, quam in D Scceenormali-
  21. Ter BD, iUngANCuEqUC AB, BC.
  22. Dico rectangulum ABC ad rectangulum AC BD rarionem obci.
  23. nerceandem, quam FC diamerer ad A C lincam.
  24. Demonstratio.
  25. VnganEuE AFC. quoniam AC liner in F bitariam
  26. adeoque ad rectos est divisa, CrUNE AF, F C linCX X-
  27. quales, de AFC rectangulum xquale quadraro AF id
  28. eAt2 rectanogulo E I CT: quia F E, E A, E C TUNC PEOPOE-
  29. tionales. Sed E F C reccangulum est ad receangulum
  30. AC. F E VE F C ad AC; igicur ee rectangulum AFC
  31. 2d A C F E reccangulum id estb parallelopramum AFC.
  32. VE F C ad A C; quis vero est AFC receanoulu ad recE2.
  33. sulu ABCVE AFC parallelooramum in angulo AFC.
  34. ad parallelogrammum ABC, in eodem angulo ABC
  35. cu ex iidem rariones habeane composiras) eric permucando AB C recrangulum
  36. a Parallelorramum AB C, id est ad rectangulum ACBD VE A F C recrangulum
  37. ad parallelogrammu AF C id est ad c A C F P. recrangulum, id cA ex demonstraris cibia
  38. eFC ad AC. Duod erac demonstrandum,
  39. eR, OP OSITIO LXXXIV.
  40. cenelc vicunque circuli ABC, AD C in punctis AC, iunet aque AC.
  41. OHanEuF C F. HI, C BC, Occurrences perimerris circulorum in B, F, 6,
  42. IUNGANEUEGVE AB, AF.
  43. Dicorectansulum ABC, ad AF. C rectangulum cam racionem obri-
  44. are, quam C BC, ad rectangulum HE. C.
  45. D
  46. 47. prim
  47. 5
  48. b69. huin
  49. Detn

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 211. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0268?run=74