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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 285

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: 0.87.

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

The machine reads it as

  1. E. L. L. IP 5 IS.
  2. Demonstratio.
  3. Vadrarum AB aequale esta quadracis AF, F B vnZ
  4. cum rectangulo AEB id est b quadraco HIF bis
  5. Cumpeos quadracum vero C D aequale cAt quadraris CF,
  6. ED, _ CFD rectangulo id est quadraco F C bis sum-
  7. pro, sed ijidemcquadraris aequalia lune quadraca AC
  8. EB, CFI, ITD, igicur axium quadraca simul sumpea a-
  9. qualia sunr quadraris AC, GB, C FB TID. Ouod eraE
  10. demonstrandum.
  11. P R OPOSITIO LXXX.
  12. Vadraca linearum extrema axium coniun:
  13. gentium aequalia Cunic quadracis lincarum
  14. qua excrema cuiuluis coniusationis coniungut.
  15. Demonstratio.
  16. InE ABC ellipleos axes AC, BD e alia quaevis
  17. diameerorum coningacio P P, OFI. iungancurque
  18. BC, C. D, F FF, FFI. dico quadrara BC, CD simulcum-
  19. Dcaxquari quadracis P FTT, FFI simul lumpris. quadraca
  20. BC, CD Simul Cumpca d aequalia sune quadrats BI.
  21. TC biS Cumpeiss quadFAEA aUFeM F FTS FTF AGUANEUE
  22. quadraris F I, PFI bis sumpris: Sed quadeata P. L, TTI. si-
  23. nul Cumpeac sunc aqualia quadraris BI, TC Cimul sum-
  24. Peis; igicur quadrara BC, CD simul sumpra; aqualia c
  25. luncquadraris PHI, HIF. simul sumpris. Quod erarde-
  26. monstrandum.
  27. eROPOSITIO L.XXZI
  28. ECenE ABC ellipsim, cuius cenerum D dux diametrorum coniuei-
  29. L.DtiOneS AB, DC, BD, DE, iunctisque punctis AB, C P dividateur
  30. AB, C F linec bitariaM IH F et C, duCanCUTq; DF; DC qux producta
  31. Occurranc ellipli in FI e 1.
  32. Dico HID, ID diamerrosesse coniusacas.
  33. Demonstratio.
  34. FOMaHI AB, DC, B D, DF, olameeri sune coniu-
  35. SACX, CrunEE A DC; BDE lectores xquales: ablaco
  36. SICuE COMMUNI BD C, CrUNE ADB; CD P reliqui a
  37. quales: rursum cum AB lineam secec in F; bitariam
  38. diamerer DH, erlinecam AD FB, BD HI i sectoreS, qud
  39. AF D, BF D crianoula aequalia. eodem modo ostendi-
  40. cuF F. DI sector aqualis lectori CDI, sectoros isicur
  41. AD FTS F DI sunexquales incer se: Addicoigicur com-
  42. muni IDI, eric sector ADI aequalis sectori HDF,
  43. contusaca ersoh sunE DFI, DI.
  44. H 3
  45. erim.
  46. a. 10. dete
  47. E77. huius.
  48. FCoroI. 46.
  49. haius
  50. 8) . Muiuts.
  51. 1 erot. 60

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 285. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0342?run=74