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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 844

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: 0.85.

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The machine reads it as

  1. 84+
  2. OVCFVS PL AN
  3. Demonstratio.
  4. Ectx FO aGuaes uma ICcus XC, quadima stur LO aequalia lune
  5. aas. huius. Quadraris AC id est rectangulis (iF. V. planumisitur T9 a ductum in sc x
  6. quatur L. C plano auetora LV.
  7. PROPOSTTIO CCXIX.
  8. NIrCUH ADBC diamerrum AB, SCCCE OrFIIOS MalIter recta quaenis
  9. cur, quem in L lecene quoruisrectx DL. F occurrenres circulo AEB in I
  10. punctis, per quae normales ad AB ponancur FC. Franc deinde D P. lineis,
  11. aquales L. K, ica polica ve a diamerro AB bisecentur in C. Rectis aurem
  12. DF, aquales AanEKN d L. I.
  13. Dico lBNpuncta, irem C IE L. D, ad veras esse parabolas.
  14. LCD: cenerogs B, intervallo BC, Sine B D circulus C E D delcriba-
  15. Demonstratio.
  16. YcanTUrreAtx B D, D A, A F. OuoniaM Au BUIUS DD A LCCUS CA, vrpote in se
  17. Mirculo constitutus, estque B D. Semidiamerer circuli C L.B, C D Alatis et
  18. ve BF ad bt, ellam C L C dd 6L, BC BX ad BF3 adtebde quadratum C 1, 4d
  19. quadra.
  20. c Perele
  21. menta.
  22. b92. ccrriy. circulu C F. D, in D. Ouare anguli inMetes arcubus D F, aquantur B angulis A D F
  23. arcusisicur D P limiles luntatetos AL. LGOTBCCnIX DLIOCCHS A L, abCB9
  24. ec quadeaca D F quadractses proporcenaa unc: sed quadeacum AI cst ad qua
  25. dracum AF ve crectangulum B A C ad B A C id est ve recta AC ad reclam
  26. Ergo quadratum D F est ad quadracum D R, hoc est ex hypochen quaaacu AL
  27. ad K L, hocest R C est ad quadratum R G, ve A G ad A G; puncta igieut L au r.
  28. tam sunc parabolam. Idem eodem discursu ostendemus de punctis L.
  29. Ouod adem puncta II, N NY eciam ad veram sint parabolam, Ec demonstro. SupCr
  30. BD descripiolemicirculo se canre BF in FI, iunsantur B FI. Ouoniam anguli BHD
  31. Poliri in semicirculo lunt recti, criant A DIIL ICCLI crunE, adcoque aequales.
  32. lunc aurem d angm mconemLaccmemo aguaes. crgocriansula BFHI
  33. Similia (UnC; CroO DF 2d B L, VE HIF ad FII. Deinde, quoniam recte B FTCx Cen-
  34. ero B circuli E B, hornatesm ad DF, (aneum ehim B FTD sunc in Cemicirculo)
  35. CrUNE DF. BiscClG M FT. OuarC cum CtIam RL Cx HyP. BHCClE MC in C, lincquo
  36. ae qualesips DF, crunt D HIxquales P. C. Aequi ex liyp. EOEX D F aequantur coris
  37. T. I. ergo reliquae FIF Tenss C Lauas. Guta Ieteur sanoendi ese FTF ad HIF,
  38. eorott

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 844. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0901?run=74