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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 848

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: 0.86.

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

The machine reads it as

  1. BVCEYSTLAAI
  2. hantauteremdiis rectarum MI B aGuuo LLL, LLC, a L. MIIIBIS a-
  3. 848
  4. P C veras cHC Parabola5.
  5. quales OFI, denique FL a Gllalessane Le. d L. I Canslerancur in R;
  6. PO: VE PO in K divila sinebitariam.
  7. DiCOLHE, GF, IIEM FC, HF parabolas ente virtuales: deinde O1,
  8. Demonstratio.
  9. et elb
  10. Ncelliganeut ad circittoru persprettas aucilinex CM, CB; cruncisicur eriangu.
  11. la CMB Similia incer se, ve ex elementis pacer, quod eriam ostendimus 279. huius.
  12. quare requadrarum CB ad quadratum. CB, id est ve CR a linea ad lincam CR.
  13. sic HIB quadracum ad quadracum MB: id est OI quadracum ad quadrarum OI.
  14. quia NEB, OT lincae per hypochesim aequalessune; parabola estigieur vera, OCY
  15. cuiusaxis CD
  16. Rursum eum E F linex aquales sine AB, _ OF aequales MB; sine aucem de
  17. EF, OF in R diua bitariam, reliqux P O F. Fxquales lumr, de simul sum pex xequa-
  18. les lineis AM: sunc vero FO lineis aequales OLF, e FI aequales IC, singule
  19. isirur LHI, CF aequales sunc ipsis AM. Ccd ANI, cranslatae in P O normales ad
  20. CD; veram producune bparabolam; isicur _ P II, CF cranstacae in PO ad veram
  21. sunc parabolam. ergo F LI, F. C: lunc vircuales parabole. cum aurem lincae OO, II
  22. rectas FHI; F FF et FC, FC bitariam dividanc ex hypochesi, parabolarum virtua-
  23. lium axehet e BC Gl, quas olendi veras ese parabolas.
  24. Tcerum cum F F lince aequales sine AB, e F C oltenta aequates AM, reliquae
  25. F C equales sunc MIB, id est O, I. ex hypocheh. similicer HF rectx xquales octen-
  26. duncur rectis OT; isicur cum OT vera sic parabola, puncta F. C, ITF ad virruales
  27. sune parabolaS: quod vero PP, OO; quas veras octendi esse parabolas, rectas
  28. E G, FTE bisecene, sC Ostendo. quoniam F:O ex hypochesi aequales sune P K, addi-
  29. eovel dempro communi O P, rectx F P aequales TunC OR, EorC aurem F C+ Olten-
  30. Exe tune aequales OT; igicur P C religne aequales sune R I: vnde B C in P P divila
  31. sumbitariam. Similicer lin ex HIF in OQ bitaciam lect X Cunc in Q; iBiTUI, eC,
  32. Duodoras demonstrandum.
  33. mena.
  34. 6300. P
  35. ab0b.
  36. stttt

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 848. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0905?run=74