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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 348

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. 11. 111 1
  2. ELVIPSIS.
  3. ectangulum sub FF d relIqua
  4. parcediameeri re quadracum D NI ad
  5. quadrocum AI, hioc est, ve quadratu
  6. BEI ad quadracum AI. ergo ctiam
  7. rectangulum lib OFI d reliqua par.
  8. ce diamerri est ad rectangulum lub
  9. OB e reliqua parre diametri, ve qua-
  10. dracum BH ad quadratum A I. el
  11. liplis eroo crantic per punctum B. Lamm
  12. quia cllipas circulo aqualis eAt ve
  13. lEGMENTA BF C F, A N B D; quibus I addaS sEGMENEA B P C, AN B; gua 2 Equa-
  14. lia sunt, segmentum ellepricum BC E. basim habens rectam B C xquabicur lemen-
  15. cocirculari AD B, balim habencirectam A B. Factum isicur est quod perebatur.
  16. PROPOSITTO CXCVII
  17. Sto ABC lecemu quodcunque circulare, OBOrTCE (uPeF AC
  18. lubrensa leomentum consticuere ellipricum, daco AB C Peomento
  19. aquale, cuius vna e diamerris conincaris sic data quae sic maior diamerro
  20. G circuli ABC.
  21. Constructio es demonstratio.
  22. NvEnEO P CenErO circuli A B C duCatuE
  23. Per P diameter FC aequidictans rectx AC
  24. crectaque ex P normali EB, quX AC li-
  25. neam bitariam diuidet in FI, AQACUE PeF B
  26. cangens BD, deinper FI recta ducarur ID,
  27. aequalis daca occurrens cangenei in D eC FC
  28. liamerro in I. Racque TK aequalisrectx PP,
  29. ex IE aqualiS P G, CHM PET RDE puncta
  30. ellipsis deleribatur, occurrens AC lincx vE.
  31. 182. Mm. Octendi supra, ablaco communi segmento curuilinco A N B P C, XguaLIA FCMAHCHE
  32. 118.
  33. Collisis
  34. in5.
  35. or 280. hn dum.
  36. cunque in MI. dico factum esse quodpecitur. Ouoniamenim L K, D Y diametri sine
  37. coniusaix _ BD Parallela ip(I L K, PaCeE F. D concingere clliplm KDL, adco
  38. 170. hu. Guc b rectam MHI aequalem ipsi AFI: elliphs igicur eransibic per punctum A. Co-
  39. dem modo ostenditur eransire per C: isitur cseomencum ellipricum AD C aequa
  40. Collisitur Ie est scemento circulari A B Ci super data isirur linea AC, etc. Quoderat Facien
  41. eROPOSITIO CACVIII.
  42. attculu a cato iu Decit
  43. sia puneto, in dacos nume.
  44. olectores aequales diuidere.
  45. Constructio es demonstratio.
  46. Aca SE ellipsis A B C axis maior
  47. AC, cacum in Peripheria punctu
  48. B. Opcatab hoc cllipum sccare ilI
  49. sectores cor aquales quoc volueris.
  50. In lCx.
  51. lu. cuinseribe A Flacus poligoni cor
  52. Ba
  53. Biamerro A C deleribe Lemieireu.
  54. e ee et e e e s. . e e e t s e se e e te 1 p e p t u t e e e e u t ut e t e 1 e 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 348. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0405?run=74