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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 271

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. cellet
  2. da
  3. cao
  4. CLLIPSLS.
  5. eR OPOSITIO LI.
  6. Eliplm ABC secent dux quaenis parallela AD, BC, iungancur q
  7. 1AB, CD.
  8. Dico AB, C C scemenca esse aqualia, ee si segmenta fuerine aequalia,
  9. dico BC, AD lineas aequidictare.
  10. Demonstratio.
  11. Tuisis A D, B C BiFarIaMIn F eE F, AGACUE PEK F e
  12. F linea F F; occurrens elliph in FP, eric illa diame.
  13. CCF. QuarE BFFI; C FFT Tegmenca a sune aequalia, rUT-
  14. Tumquoniam A E; D F aqualeS (UINE, RE SEGIMCMEA A FI F,
  15. DHTF equalia erunc: ablacis igicur aequalibus seomentis
  16. BHIF, CHTF FCMAMENE SESMENEa AB, FF, DC, FP
  17. aequalia. Deinde quoniani AF, F. D sune aequales, et
  18. alticudo communis paraHelarum BC, AD, CrUNE AF
  19. EB, DFF C crapezia xqualla, igicur ab aequalibus se.
  20. BMENEIS ABFR, D CF E, crapeziis, ablacis xqualibus
  21. manene AB, CD teliqua sermenca incer se aequalia:
  22. Duoderacprimum.
  23. Sineiam AB, C D sesmenica equalia, iunsancurque
  24. BC, AD; dico AD, BC lincas a quidictare: sin vero, du-
  25. catur ipsi B C parallela AG lungancurque CC: erie
  26. igitur perprimam parrem huius segmentum AB aqua-
  27. Delcemento CC: sed _ CD segmentum ox hypochesi xquale est AGMenEO A B.
  28. Tesmenca igitur CD. C. C sunc aequalia, quod heri non porest, cum punctum Gca-
  29. dac supea vel infra D, adeoque CC Termencum inaius vel minus sc legmenco CD:
  30. isicue AC lincanon a quidistar ipsi B C; (0d Sola A D. Ouoderac demontrandum.
  31. DuodEpunctum dacum D idem sc cum puncto A.
  32. duCatur AL cangens. ellipsim in puncto A SIvC D; (TUNE
  33. enim A e D iam ex hypochea bnum idemque pun-
  34. atum) ductaquo BC parallela adt AP iunge 1O.
  35. Dicohane abscindore segmeneum DFO a quale sC
  36. emenco ACB.
  37. Ex contactu dueatur diameter A K, igirue DC qui
  38. cansencix quidistar, est ordinacim b posita ad diatheerum
  39. AK, adcoquebilecta in FI; criangula igitur B AFI.
  40. CA HL equantur; xequancur veric _ segmenica B C AFII
  41. CF AHI. ergo reliqua eriam scomenca BC A, GF A(.
  42. hCCEB EGUAREUT. FaCUM isICUE eA quod pCLCBATUT.
  43. PROPOSTTIC
  44. Ecet elpuim rocta quaenis AB: auterens
  45. CDresmentum, e decur in peripheria
  46. punctum quoduis D, oporter ex D rectam ducere DF, que auterat le-
  47. smencum DE F, aequale seGenTO ABC.
  48. bouint
  49. b13. huins.
  50. C45. htoito
  51. Con-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 271. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0328?run=74