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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 908

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. 908
  2. ROPORILDMLMLLMTI
  3. GF OMLLKICAEVM
  4. ARS TE RFIA.
  5. Verationum mupaom jeu compositione.
  6. DMionum multiplicationem à compositione non differre satis arbitror, is in-
  7. llicet, qui non noret definitiones 5. libri sexti elementorum, eaque lece-
  8. quae in secunao principio huius libri exposurmus. Tunat tamen, quandae
  9. epius deinceps i a me assumi debet, L. ectori verbo 2no memoriam refrica-
  10. re. Datae sint tres quantitates A, B, C, aut plures: Di-
  11. cimus ereo, rationem AC ex componi ex rationibus
  12. AB, BC, ex produci ex ijsdemrationibus inter se mul
  13. ciplicatis, ac proinde rationem omnem produci ex mul-
  14. tiplicatione earum rationum, quae ipsam componunt.
  15. EROTOSTTID LXXV.
  16. Aex Cincraciones AB, dC D. Fiatve C adD, ita B ad F
  17. Dicorationem AB ductam in rationem C D producere ratio
  18. Mt
  19. Demonsttabio.
  20. Actoes AB, B F componunera
  21. tionem AH. Cedracio BL. Clt ra
  22. tio CD ex constructione. Frgoracio
  23. AB Cum ratiONC C D componic Fa-
  24. cionem AF. ergo racio AB duceta in
  25. nem AL.
  26. cationem CD producir rationem AF. Ouod erac demonstrandum.
  27. A 2d P
  28. Corollarium primum.
  29. Inc facilè deducemus candem
  30. racionem proaues ex cacione
  31. i caciorrem C B, qux AcCxFd.
  32. cione CD i cact AB. haC
  33. enim ve C ad D, HCB ad F; ede
  34. ad F. igieur per 75. racio A B in rarionem CD, Facicracionem AF
  35. ex racio CD in racionem AB Facieracionem C F. Aequiraciones A F, C F cxdem
  36. E
  37. (UnE. ErgD, eCC. quod aucem rariones AF, C F snc exdem, siC ostendieur. per constr.
  38. D cAt adB, ve A ad B; e C est ad D, ve B ad F. er5023. quinei, C cA ad F, ve
  39. orollarium secundum.
  40. Cato Lactor C Labimus cationem qua producitur ex ra-
  41. eionc AP ducta inracionem C.D.
  42. FiaB

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 908. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0965?run=74