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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 299

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: 0.90.

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

The machine reads it as

  1. EL LI P SIS.
  2. PROPOSITTO CVI
  3. Ecet ABC epl quems ciamerrorum coningario C.B, l.t, qui.
  4. us ploportionalucer dinilis in O ec P: ducatur vna ex diamerris
  5. Comuraris aequalibus AS que dividarur in N, ve C D est diuila in O.
  6. per NOP rectae ducantur ordinacim GFI, II, L. MI.
  7. Dico IK, L. MI quadrara simul sumpea esse dupla quadrari OFI.
  8. Demonstratio.
  9. Veacur altera conusatarum aequalium OR, qua limilirer diuisd in L, ve SA
  10. est in DY. _ CD, F F, in O ∞ P. per punctum Z ponatur ordinacim V T. quia
  11. igitur O R, AS sun xquales de similicer secte, rectangulum (Z R RQVATUEKC
  12. Ccangulo ANS. sed rectangula OZ R, ANS axequancur quadraris GN, I L. CF - ∞
  13. hadis.
  14. 205. BH-
  15. 30quadraca CNI, T L adeoque d quadrata GII, TV aequalia Tunc. sed quadraca ins.
  16. ME, IR b aequancur quadratis V T, CHI. ergo quadrara M P, TK dupla Cune qua-
  17. draci GFI. uod erac demonstrandum.
  18. PROTOSIIIO CYI
  19. NECeNE ABC ellipsim dux diaCETOTUM COnIUSATIONES AB, CD,
  20. DEF, GHI: (IEquE AB maxima e P. F magnicudine secunda.
  21. Dicorationem AB ad P. F minorem esse ratione CH ad C. D.
  22. Demonstratio.
  23. roniam AB, CD quadraca simil sumpea aequalia
  24. a Guadracis F F, CTI limul sumpris: non eAtve
  25. AB ad F F, siC GFF ad CD, nam eunc quadraca AB.
  26. CD maxime e minimx maiora essene quadratis P F,
  27. CFI. hacigieur ve AB adt F F, ScOHI ad CI: crune.
  28. que AB, C I quadrata maiora quadratis F F, G FI, hOC
  29. est quadracis AB, C D. quare C P linea est maior rect â
  30. CD,ex rario CTI ad C D; id est ex constr. racio AB
  31. ad F. F minor est catione CH ad C D. Duod etut de
  32. monctrandum.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 299. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0356?run=74