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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 331

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: 0.84.

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

The machine reads it as

  1. ion
  2. Occ
  3. c
  4. rimet
  5. Oeb
  6. E L L. IPS
  7. OCCUrFANEIn E, M, N, O: actilque per P e F, lineis PF R, SFV dux circulo oc
  8. Curranc in R, V e AC diametro in 9 e T, de aequidistenc axi BD, ducantur
  9. ordinarim ad axem AC linCx IZ, RZ. Ouoniam PFR., SFV lincx in F _ F,
  10. proportionalicer lunc dinila, racio rectanguli PP R ad rectangulum SFV duplica.
  11. ca es rarionis P B ad SF, adeoque cric PF, R rectangulum ad rectangulum SF V
  12. requadrarum PF ad quadratum SF id est re quadracum P. ad quadratum FY,
  13. id est requadracum IZ ad quadratum R Z. Quare cum rectangula L P. N, PFO
  14. aequalia sintrectangulis PF R, SFV, etiam L F. N rectangulum est ad rectanou-
  15. lum MFO, re quadracum IX ad quadratum RZ: deindocum IC hoc est ZD
  16. Ac aequalis F D, _e DC aequalIS DN, Crir Z C aequalis L N. eA vCTO _E COLA AC
  17. aequalis tori L NV. ergo reliqua A Z reliquae L P aequalis est: adeoquo AZ C rC-
  18. aangulum aequalerectangulo L F. N: eodem modo ostendicur rectangulum AZ. C 2 142. h1:
  19. aequari rectangulo MF O, crit igiturvE A Z C rectangulum ad rectangulum AZ. C, ins.
  20. sic quadrarum I X ad quadrarum RZ. Ouare. AIKC, puncta ad ellipsim. Duod
  21. exat demonstrandum.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 331. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0388?run=74