Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 692

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: 0.86.

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

The machine reads it as

  1. iotm
  2. in
  3. PIR A L1S
  4. PROPOSTTIO. KLl.
  5. iDGF, HLLK.
  6. apeis aequalibus LF, BK; diicaneur diz-
  7. Dico lempet LG, R L esse aquales.
  8. Demonstratio.
  9. OF ad LK, vi rectangulum A FB ad rectan.
  10. lum AK B. vei deMonstravimus in libro de a para
  11. 2. Acqui rectansulaunc xqualia, cum exhypoch. AP
  12. quales Hnc. L.180 X rectx F C, R L, aquales lune.
  13. PLICAEVR SPIRALI
  14. Impris in recta AC aequalibus AD, C. H.
  15. contro A per Dae H, describancur periphe
  16. Darabolam subrendat quaeuis recta AB, et
  17. rix concenericae secances spiralem in O de L.
  18. Dicoarcum GOD arcui HIL. eescam eAe.
  19. Demonstrat.
  20. DEE G _ L ducancurrect L D, et L. I. PC.
  21. adL. N per 19. lapp
  22. ripheria FIO L S est ad arcuM L. SFI, VE AN
  23. es DE AC a LLC
  24. hoc est quia ex hypoch. XquacurHIC, AD, vE C A
  25. ad D A, sed rariO C A ad D A, COmpONIEUE CX
  26. racionibus C A ad HI A, _ HIA ad D A: Fr∞O
  27. ratio peripherix IIOLS ad arcum L SFIcom
  28. ponicur exhilce duabus rationibus C A ad FIA,
  29. e TIA ad D A. Simi
  30. acio ciusdem periphe
  31. riae TIOLS adarcum GOD. componituE ex
  32. racionibus peripheriae TTOI S ad peripheriam
  33. DGO, (hoc est per FT. l. 4. Pappi, radii FTA ad
  34. radium D A) ee peripherixe DCO ad arcum
  35. COhoc est rectae C A ad FT A:) nam arcuS
  36. cum BFB C, hoc cst per Fg. Pappi AD. 4. H A C ad G B: ergo componendo periphe-
  37. orcus illi. uod crac demonstrandum.
  38. Similieaso in eo posica, in veraque Agura lumpexe fuerunc aequales, in parabole
  39. DP C est ad arcum COD re arcus C B Tad ar.
  40. FC. R ln quaslmiler a quales etle demonllcavumus, incratisuraS luaS exiltunE, dt.
  41. cus nempe incra spiram, linex ver o incraparabolam.
  42. ria DOO cA adarcum GOD, ve AD ad BC; hoc cstve AC ad C D, hoc cltrt
  43. CA ad FT A. Exii dem igicur rationibus componicur racio peripherix HOLS ad
  44. arcum CS HI, ex racio eiuldem peripheriae HI OI. S ad arcum COD: quare can-
  45. dem adriasue arcum pepea L S rationem habec. Eroo aequales CHE
  46. nempe AL, BK ALCH. Belphena Pet B. a lrercture amettos
  47. DF, HIK. Tamarcus vero COB LSH Guoen aquales elC, Guam linex
  48. PR
  49. et anto ito ite tet ee tete ite te e e te se e e a e tat uta i at te e e te at e te ut e se ta ste t e t e e 1 t t a a tat t d

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 692. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0749?run=74