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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1019

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. V N GVLA CYLINDR IC A.
  2. 1O19
  3. ita etiam parces superticierum sphaerx diuilx pex circulos rectos ad axem
  4. eandem racionem corinent quae incer segmenca axis facta elt.
  5. VrcM diamerer circuli ad semiperimetrum ciuldem, ita quoque cst
  6. Ephaerae luperficies ad cylindrum alcicudinis que xquatur perimetro cir-
  7. culimaximi: Pari pactovr diamecerunsula est ad perimerrum semicir-
  8. cularem, ita est ongularis superkicies ad semicylindricam ejuldem altieu-
  9. dinis.
  10. Ouam racionem obcinet superticies rnius (phaerx ad alcerius superti-
  11. ciem, eandem leruane inter se proportionem vngulares luperticies, modo
  12. proporcionales linebales ongulares cum maximis circulis sphxrarum.
  13. Ouemadmodum superticies sphaerx quadrupla est maximi circuli, ita
  14. d superticies curua vrigulx cuius alcicudo par est perimerro circuli qui
  15. balis est rngula, quadrupla est eiuldem circuli.
  16. Sicur superhcies cxlindri sphaeram ambientis selquialeera cAt (up erH-
  17. ciei spharae, ita et prilmatis rngulam concinencis, ca lupertcies qua cur-
  18. nam rnsulxe superticiem cingic, ciuldem est se lquialcera.
  19. VII
  20. Ouemadmodum sphaerx superkcies aqualis est circulo cuius radius
  21. par elt (phaera diamerro: ica eriam rngula cuius alcicudo par est diame-
  22. ero balis, xquacur quadraro cuius larus eAt diameter.
  23. Alias Gymbolizaciones non prosequor, Cufficir enim hac inlinuasse Le-
  24. ctori, ne longiorsim quam oporcet. demonstrariones veroharum pro-
  25. prictatum pleraq: a nobis in propolirionibus peaecedencibus eradiex
  26. Tunc: exerera vel exnoctris, vel ex Archimede d Pappo non ditficulrer
  27. ExVICHTOT.
  28. n

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1019. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1076?run=74