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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1130

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.

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The machine reads it as

  1. QV ADRATVRA CIRCYEK
  2. LAOPOSITIO XLIX
  3. Esumplatigura propolicionis 47. lifuerint segmentorum axis AL,
  4. LLBL, Subdivisiones Facex plures ac plures in inhnitum iuXTa Mentem
  5. propolicionis 47. ac proinde plura semper ac plura reccangula inscripra
  6. Fuerincparabola A a B, circum (cripea vero parabola ABE.
  7. Dico nihilominus solidum quod producitur ex mutuo ZC OA,
  8. C r EO Teomentorum lubalternorum duetu, maius esse solido quod se
  9. ex omnibus rectangulis inseripris parabolae Aa B in omnia recrangula
  10. conseripea parabola AB6.
  11. Demonstratio.
  12. DErEcietur eodem discurtu quopropolicio 48. Nam quo dilcursuillic Cx 46. Osen-
  13. dimus solidum exseomentis PNKL, R P P. M, qux adiacent medio axis puncta
  14. T in SCOMeNta RBOL, L DaM maius eAC solido quod hc ex rectanguliS RV, F X
  15. in rectangula RV. I S, eodem quoque demonstrabimus ex 47. Colidum quod AE eK
  16. sEGMENEIS NTDTR, RMFIF aequalirer a medioaxis puncto F remoris, in segmen-
  17. ea IFBR, HICcoM, maius esse solido quod Hc ex rectangulis, Id, M X in rectangu.
  18. Ia TO, MZ: _ Colidum quod signitur ex segmentis D eC I, s FFTO in segmenta
  19. CxFI, ITOEO maius elesolido producto ex Cp, IIo in Ca, FIi. Focumigi
  20. cur segmentum est C duccum in sermentum eorum C nZ maius solidumpro.
  21. dueic quam omnia rectansula C P, Id, RV. I T. MX. HIo in omnia rectangula
  22. C a TO, KL, L. S, A L. FLi. Duod erar demonstrandum.
  23. LKOTOsITIO
  24. Incpalaobraaea aeat de Mes AA B, ABC Ellatucom.
  25. muniaxc cto paltes Al BL, In plurestemper ac plu-
  26. res in infinicum parces xquales et x que mulcas, diuidancur, ducrisq. per
  27. dinisionum punera parallelis lineis er, DF, ec. normalibus ad AB, in-
  28. scribancurparabolae A a B, parabolae vero SB A cir cum scribanturrectan.
  29. sula plura temper ac plura line terminio.
  30. co

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1130. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1187?run=74