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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 760

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: 0.89.

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

The machine reads it as

  1. TVS FL AN.
  2. eROPOSTTIO EZZVIII.
  3. 960
  4. ABC: Paret per ea quae in lib. de patabola ostendi, C. C eNe ad parabolam.
  5. BF ad B A
  6. Dico C D planum ductum
  7. in planum BF. xquale corpuS
  8. proterreilliquod oritur exdu-
  9. ctu BC in F. A.
  10. Demonstratio.
  11. Veancur infinice parallelae BC
  12. DF. A. Duoniam DBE rC.
  13. etangula aqualia ponuntur rectan-
  14. gulis ABC, eA vE BC adBD, EC
  15. dendem BCAd C. D, sicBF. 2d F A; rectangula igicuTBC P A
  16. ae qualia sunc rectansulis CDB P. quare BC planum ductum in planum B. A ae qua.
  17. cur CD dudo in BP. Ouod fuic demonstrandum.
  18. eROPOSITIO LXXIX.
  19. TTeicerutm AB rectangulo in scripeus circulus DE, ita vE AD, BF linex
  20. cinc requales e circulus eandem habeat cum recransulo alcicudinem;
  21. hane aurem proxortionales AB, AF, F F, _ FD rectis aequales IE F.
  22. Dicoplanumi AP duccum in le, xquale corpus proterre illi quod ori-
  23. FDF Cx F D ducto in DK.
  24. Demonsirat.
  25. Seo AB rectansulum, intra quod circulusponatur D E candemha-
  26. bens alticudinem, dein D B P rectangulis a qualia tianc rectangula
  27. Voniam AB, AP, F. F, proporrionalestuIII, MLD ad ILL. prima ad secundam
  28. Lhocest exhyporhesive AP ad P F, SIC P B I POTheS AD excestu
  29. quancur, recrangulo F. D K. planum ipicur A F ductum in sciplum CA _e quale plano
  30. ED duceo in planum D R. Quo dtuir demonstrandum.
  31. ad excessum A F. ergO COnNerEendO DE P A ad F A, sic D A ad F D: dividendo;
  32. igicur re F dd LA, IC LA al L . Guare lestam Proporonaes L. L, lHC
  33. s AF quadracum equale recrangulo F F D, id est, quia exhryporhesi FD, RP X

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 760. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0817?run=74