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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 350

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: 0.85.

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

The machine reads it as

  1. E L L IPS1S.
  2. 2010ott1O ee
  3. Seo circulo ABC inscriprum polrsonum quodcunque régularé
  4. SA, B, C, D, F, F: sic auem _ ellipli. C FII inscriprum polygonum
  5. regulare C, TI, I, IE, L, M, coldem lacerum, quoc cst polygonum circu-
  6. Dico leomencum circulare ab alquo lacerum polysoniablacum, este
  7. ad seomencum ellipricum, ab alieuo lacerum polygoni ellipriciablatum;
  8. loinlcripeum.
  9. veest dculus AB C ad c p CIHI.
  10. Demonstratio.
  11. le O contrum circusi dc Ncenerum eMlipsiS: ducancurque ex O ec NY. semidio
  12. mecri ad angulos suipolygoni: Ouoniam C FI, FTV, TR, Qc. segmenca in cIlipB
  13. per constructionem sunc aqualia, crunc e 2 sectores ON FI, FTN L, INR, _c. xqua-
  14. les: sunt aurem e sectores circuli AOB, BOC. COD, ScC. aquales se pares nu-
  15. mero ellipricis, isicur estsedtor AOB ad sectorem C N FI, ve omnes sectores cir-
  16. culares, id est circulus AB C ad omnes sectores ellipricos, id est ellipum G FTT, qua-
  17. re eseementum AB eAt ad scgmencum C HI, re circulus ad elliplm. Quod exac
  18. demonstrandum.
  19. PROPOSTTIO CCI.
  20. Irculo A inscripeum sic quedcunque polrgonum, oportec dacx et
  21. liph BC D polrgonum. pari numero lacerum proporcionale inscri.
  22. bere, hoen gudu e une ad elliplim proporrionem habeac quam
  23. circulare ad circulum; de cuius sinsula lacera, seomenta auterane que ad
  24. ellipuum Cuam ealem habeane rationem quam habene scomenca circulz.
  25. rias lingulis laceribus polysoni circularis ablaca ad Cuum circulum.
  26. Demon.
  27. N eiE AHI i. A si. LBII
  28. edt

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 350. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0407?run=74