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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 251

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.

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

The machine reads it as

  1. EL L IPSIS.
  2. Constructio es demonstratt.
  3. XI BD per E centrum ducatux = coniusaruS A C, RanEq; continux B D, A C, acorol. 9.
  4. BF: dico FB ese lacus rectum. aequidister enim B F ipE A C: ducaneur que huins.
  5. Ordinacim linea OII guxe iuncta F D occurrane in I: ip (a vero F D secec AC li-
  6. ream in R. Ononiam P. C, C FI ordinacim polcx sune ad axem BD, CrIE VE B qu2- B +. Buius.
  7. dracum C HI ad quadracum F. C, sic B H D rectangulum ad rectangulum BF D:
  8. (cdveB FID rectangulum ad rectansulum BFD, SiC TH B rectangulum c est ad c23. sexti.
  9. rectangulum R E B (guia ex iisdem rationem habene compolicam scilicee ex BII
  10. ad BB, _ CX HTD ad P D, hoc CA HI ad F K. )igicur ve quadratum O HI ad qua-
  11. deatum CB, Sic TFIB rectangulum est ad rectangulum RR B, ee permucando in-
  12. verrendo ve RE B rectangulum ad quadracum C F, sic PFTB rectangulum est ad
  13. quadrarum GFI: sed cum d A C quadratum sic aequale rectangulo luper FBBD d 17. fexio.
  14. (cum exconstruct. BD, AC, B F SINEETCS CONTINUX) crie F. C quadratum, (nimi
  15. rum quarta parS quadrati A C cst enim F, CA C bilecta in P.) aequale rectansulO c 4. huius.
  16. R EB quarea parri rectanguli super FB BD. igirur ec quadracum LIC aquale est
  17. rectansulo IIIB: ergo TIC: porest spacium quod adiacecipsiLi B lacirudinem ha-
  18. bens FB, desciens ab F B Frectangulo, similis fgurx rectangulo, BL D: quare
  19. FBElacus rectum eAt. exhibuimus ergo, ec. Ouod cracFaciendum.
  20. Corollarium.
  21. E detnit. 0.
  22. Inc lequicur primo quaruor lincas, nimirum lacus rectum aAIS LIHOFIS, AXem
  23. maiorem, axem minorem, ex lacus rectum axis maioris in continua esse ana-
  24. losia.
  25. Sequitur lccundo qui datislareribus rectis axium, ellipsin extribuerie, quodin-
  26. er Binasdaras, duas mediasinuenerie.
  27. LKorsicie all
  28. Seo ABC Mipae Ga SFC.
  29. Slum exhibeto.
  30. n

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 251. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0308?run=74