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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 388

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: 0.88.

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

The machine reads it as

  1. Perele
  2. venea
  3. AR ABC
  4. Demonstratio.
  5. Eccarbulum B DC ad recrangulum F DFE a Facio-
  6. nem habet compolicam ex B F ad F: D, d GF 20
  7. ATD, id est AF ad AD: Sed rario A F ad AD duplicata
  8. eA rationis BF ad F D: reccangulum isitur BF C adre.
  9. ceansulum FD FEcriplicacam habec rarionem eius quam
  10. habec BF ad F. D. Ouod erac demonstrandum.
  11. tROeOSITIO LIV.
  12. Darabolam A BC cujus diameter AD con-
  13. tingar in A linea AE; ductaque quavis AC
  14. quE parabOlE IFCTUM OCCUTEAEIM C, Lumantur in A C lincapuncta qux
  15. plicacam eius quam habec btL ad LiL.
  16. Demonstratio.
  17. 2 Eccangulum BOFT ad recrangulum PF F, racionem
  18. haber compolicam ex BC adIF, _ Cx GTI ad H F,
  19. id elt A C ad A F: sed racio B C b ad TF duplicaca cAt
  20. rarionis AC+ ad AE, ixitur receangulum BC+ FTad re-
  21. ctangulum PF. F rationem habec criplicaram ejus quam
  22. habec GHI ad F. F. Ouod crar demonstrandum.
  23. eROEOSITIO LV.
  24. Seo ABC parabola diamerer AD, quam in
  25. D secer ordinarim linea C D: divilaq; AD
  26. in F _ F, VE AE, DF sinc aequales, ponancur
  27. ordinarim EB, FC.
  28. DicoFB, FC quadrata limul sumpra, x quari
  29. quadrato C D.
  30. Vcta AC OccurraE L BIIHCX in FI, _ F C in I, eri.
  31. Sacurque ex C diamerer CR, (CCanS P C in R
  32. Duoniam AF per hyporhesim aequalis eAt FD, id
  33. CA C R, angulus A H F. aequalis angulo AIF id est an-
  34. suIOKIC (ObFTF, CF aquidistances) et angulus APH
  35. angulo aqualis CKI, erit AFIP. c criangulum aequale
  36. criangulo CKI; _ FTE linex aequalis RI. Rursumcum
  37. eam C D, GF, dTF; quam CD, BF, HL F linCC proPOr-
  38. tionales sinc, quadraca FC, B R mediarum, aequalialune
  39. recrangulis CDTF, CDHL; HOCCR recrangulis IFR, TRF, quia HIK, RIlinca
  40. 22. sccunai. X quales lunc, sed F. R quactacn dequale cA c recrangulis IF R, TRF, igitur et
  41. contingenti in F. e C parabole vero in B, _ l.
  42. cunque F, HI. ex quibus eriganeur diamerri F F, FTG, OCCUrreNECS AC,
  43. Educieur
  44. exprima
  45. WIHS
  46. Per
  47. DICOB CHrectansulum ad rellangulum LF. F rarionem habere eri-
  48. Semonsttatie
  49. d +2. 1
  50. Ducterac demonstranu.
  51. quadraca F C, BP simul sumpra xquaa sudE quadraro L K, id est quadraco CD.
  52. vorona
  53. S a te 1 e e ta e et st t e te . e . te e te et t tat at et ste

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 388. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0445?run=74