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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1009

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: 0.88.

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The machine reads it as

  1. VN CVLA CZLINDRLCAI
  2. Demonstratio.
  3. Deodem exlindro resecetur vaeula FD C, cuius alricudo AD par Sic diame.
  4. Lero basiS F. C. Maxinum criangulum P. AC est dimidium quadeaci circulob2-
  5. Ccosrnstaris inscripei, adeoque quarca pars quadrati, quod sic supet diamcero FC:
  6. Prramis igicur super bali criangula F. A C in alcicudine AD, hoc es ex hypochel F C.
  7. quarca pars est prramidis super bali ouadrara F C, in eadem alcicudine F C. Prgo
  8. pyramis, cujus balis estcriangulum P A C, alcicudo F C, hoc cst AD; est pars di-
  9. midia prramidis habencis pro basi quadracum P. C, alcicudinem vero B C dimidiam
  10. prioris F. C, hoc est semidiamerrum. Acqui haec prramis axqualis est vngulX. Crg0a 70. v0
  11. a hitiuo
  12. prramis cuius basis eA criangulum F AC, alcicudo AD, maxima nimirum qux in-
  13. Scribirngulae FDC porest, dimidia est ongulae ac proinde rngula eius dupla est. Sed
  14. veongula FD C est ad prramidem sibiinleripeam, ica rngula FM C ad sibi inseri-
  15. Pram prramidem. Nam es rngulx per 7 huius, ex pyramides ongulis in(CeipEx PCF
  16. elementa, sunc incer se ve alcicudines AD, AM. ergo ctiam vngula FMC maxime
  17. pyramidis sibi interipex aupla est. Quoderac demonstrandum.
  18. Analoeia cum sphaera.
  19. Plam hic mirabiliter lymbolisane sphaera ex ungula. Ouemadmodum enim ano-
  20. Lbis demonstratum e noulam pyramidis maxima sibi inseripex duplam este, ica
  21. quoque ab Archimede demonstrarum hxmisphaerium FFIKCi duptum esse coni
  22. maximi sibiinscripci.
  23. PROPOSITIO LZXTI
  24. abscilla Ccelipcum, ipsius onsulae lesquialcerum ett.
  25. DRIImA (AENOMDE) cuiuis ongulx (ABOD) a cplindro recto
  26. Demon-
  27. a te e e pe o e t e t s u e ti e t e test e t e te t te et a s e a et ti te e t et e e t . 1 t t t t s lis

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1009. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1066?run=74