Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 843

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. N PL A NVI
  2. Demonstratio.
  3. DRoducantur verimque FC, aequalicer in O et R, ve RO corx in N billecen-
  4. tuT, de xquales sinc rectis A C, C C: cruncigicur puncta R O ad veram. parabo- :
  5. lam. auFerantur deinde rerimque linex R T, O S, aequales C C vel AF; criam
  6. puncta S; B, T per precedentem, ad veram suneparabolam: deinde quia EOFa R 9
  7. aequalis cAlincis AC,, C,C3 e 9S aqualis CC, reliqua S R id est OY, (quia
  8. SO, TR aequales sunc) religuae AO id est per hyporhesim F P aequalis est: led
  9. _ FI, O. S aequales lune C C, adeoque e incer se; illis igicur ablaris; reliqua IL,
  10. SY aequalessune, scd S T, ad veram lunc parabolam, igicur per detinicionem huic
  11. Parci peaetixam, ec II. Cunc ad vierualem: quod aurem illius axis, vera sic parabola (C
  12. ostendo: secentur P I lineq bitariam per lineam PFTK, dico P FTK vecam esse pa-
  13. rabolam cuiusaxis eAt F P. quoniam enim I. I, SY linee aequales lunc, rectae quoque
  14. TO; SN; aqualium dimidix requaneur. Ouare lihiis addantur P. I, O S supeâ octen-
  15. (X XQUAlES, CFUNEEOEE F O, VYO aequales. cum igitur recte R O, posix linc ad re-
  16. ctamlineam D P; Cincque puncta Q ad veram parabolam, eciam puncta OO
  17. erune ad veram parabolam.
  18. PROPOSITIO CCFVII.
  19. IIdem poliris:
  20. LDico planum OS duccum in Ce, aequari plano F. F, ducco in alcicudi-
  21. nem AC.
  22. Demonstratio.
  23. Droniam SO linex per constructione xquaneurlineis C C, id est linex A F, qu2-
  24. Ldrata SO aequalia lunt quadratis A F, id est rectangulis F R. V; planuisieur SO
  25. 20. b1
  26. ductum in (CB aqualc CA L. F ducto in P. V, suie in alcicudinem AC. Quoderac de as huuus
  27. monctrandum.
  28. Laet sttO CCAVII.
  29. Udc Poricto:
  30. DicotC Platium duclum in Li i aequati platd LC C i.
  31. Demon-
  32. otet ute us u us e u st ie e s s ettu s e e e e pt pes e e s p s aes p s e s e e i e e t 1 . s 1 . e en s 1 e u t nu

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 843. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0900?run=74