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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1022

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: 0.92.

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

The machine reads it as

  1. ENCVLA PAR ABOZ TCA.
  2. Demonstratio.
  3. Enero R, spacio FT, describacur semicireulus, ouia axis FK Xquaeur lacerire.
  4. at0, erit YIR equalis K F. unde semicirculus cransibit per F, ec C. Super hoc
  5. Temicirculo rebasi incelligacur heri rngula FFTIO, a Cylindro recto abscista guX
  6. Si. Buins. alcicudinem parem habeac diametro baseos F G: productaque M L in O, sCCCTUE
  7. ingula planO peF MCO ducto. ORensum enim a CA PArECM VnSULArEM FFLOMN
  8. ad reliduam, eam racionem obcinere quam parahola F FL. M tegmentum, ad par-
  9. 677. huius. cem L MC: Sed ve vngulae pars ad vsulx parrem, ica quoque sesmencum b spHXrX
  10. 2d sphaeex Cegmencum; isicur eam Cortiuneur parces sphaerx incer se rationem quam
  11. parcesparabolx habenrincer (c. Duod tur demonstrandum.
  12. PRODOSITIO LXZXIV.
  13. Zhis alicer quam Archimedes prox. 4. lib. 2. de sphaera e cylindro
  14. lpheram lecundum datam rarionem diuidemus, hunc in modum.
  15. DArabolam F FTC, cuius axis HIR, par Ordinatim POSIEX FR, per dIAMeTrOM M L.
  16. seca in dara ratione: reque secta FC in M, ica axem sphaera seca in F. planum
  17. ductum per F rectum adaxem, sphaeram secundum dacam rationem parcieeur; ve
  18. pacet ex propolicione iam demonstrata.
  19. PROPOSITTO LXXXV.
  20. exlindrus parabolicus, (cuius axis F P, balis parabola ABC, at1
  21. Labaleos BF, ordinarim ad axem potITa AF. C,) Secetur planO per
  22. AC, exhibence in exlindri superticie lincam ACD.
  23. Dicolincam AC D esc parabolam.
  24. Demon-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1022. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1079?run=74