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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 792

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.

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

The machine reads it as

  1. CTYS PL A NL
  2. Dico planum R I ductum in alcirudi-
  3. L. LLxquari F. LI plano in se ducto.
  4. a Demonstratio.
  5. DROnUDANEUE FI P. L paraIICLA In K, L, NI, quo.
  6. niam ON, GP, GL proporeionales sune et
  7. C F B Bacabola, rectae a L FI, L F, L K proporrio
  8. nales lunc: quia vero TIF lincis aequales sane
  9. LI recta Quoquebr. FB FIR. IK proportionales
  10. c
  11. quarecKY ductum in alcicudinem L. HI
  12. corpus proterr xquale illi quod oritur ex dudu
  13. alc.
  14. tROPOSITIO CKXZIX
  15. B axis parabola AF F, aqualis la-
  16. Dceri recto; policaque ad illum ordina-
  17. _nea F. B; luper AB ve diameero
  18. circulus describatur AC B qui ecoruIS
  19. cadecinera parabolam, circulum hunc
  20. contingane linca C. C aequidictans AB,
  21. de AG, C D. 1
  22. DicoC L. planu ductum in G L, Equa-
  23. ri FC plano ducto in alcicudinem AB.
  24. Demonstratio.
  25. Veantur ad A B paraHIelX inANIEX CiFTT. EI, iungaeur item AF. Ouoniam
  26. AB aeguarur larerirecto, linex F B, B AC aequales sunc ec D B quadracum,
  27. quia vero CC concingic semicirculum super AB lacere quadeari descripeim, ex ele-
  28. mencis pacer illam a diameero quadrari A F. bilccari: adeoque rectam A V. cransire
  29. per C punctum contactus. ex quia AC, C C continsences aquales lune, xquales
  30. quoque obrriangulorum similicndinem crune AC, CFK: vnde AC quadcaris id cst
  31. quadraris CK aequalia lune rectangula TCT. Sed _ CR quadracis aequalia quoque
  32. 567. parab. TunC, Frectangula FCFI: rectangula isieur F C+ FI xequalia lune rectangulis IG F.
  33. 3+6. huins. Planum igicur F. C S ductum in alcicudinem AB vel C FL equale corpus producier
  34. illi quod emersicex YC ducto in 6L.
  35. PROPOSITIO CXL.
  36. VIcrurtum parabolae F. F axis A C aequalis laceri recto de super AC.
  37. Ddiamerro delcripro circulo, contingaceum AI.
  38. Dicoplanum F. P. ductum in P. HI gignere xquale es lindrice quadran.
  39. ii, cuius balio BF, et alcirudo AC.
  40. AEXCON
  41. cersa 3
  42. C0r
  43. 46.
  44. 2 1264a3
  45. 3. Parab
  46. Demon.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 792. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0849?run=74