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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 842

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. GH, Guc HIC
  2. VEKNS BLA NL
  3. Dico puticta BOC esse ad paras
  4. bolam cuius latus reccum eAt F. C.
  5. Demonstratio:.
  6. Vncta AB delcribatur supCF AB ve
  7. dianrecro lemicirculus BMI AsOCcurrenS
  8. neis in MI; iungancurque M B; BII.
  9. igicur an sulus AF B per hypo.
  10. ectus eAt, Cemicirculus BMA
  11. P F. cenerum circuli ABC, Xt
  12. NHL lineis = aqualeSTUNEB M: CuNEAuTeM
  13. anguli in semicirculo B MI A, adeoque e
  14. anguli BM FE recti. ergo rriangula BMIF
  15. Similia sunc, adleoque quadracum B M est
  16. ad quadeacum BAI, vE quadracum BII
  17. 2d quadratum BII. quia vero anguli ad
  18. M, in semicirculo rectilune, _ M B rectx
  19. AUCHMEUF CX CCHETO CIECUHI AF CY, rectae
  20. AC in M biffectae sunc: inde cum IR.
  21. AC line aequentur, illarum dimidiae L. K, MI C aequales sUnE: X quia O K per hy.
  22. pochelim aequancur FYG, reliqua MEI, id cA, ve iam octendi, MB reliquis LO
  23. aequales sunE. igieuE vE quadracum MB ad quadratum MB, SC P O quadrarum
  24. est ad quadratum LO: led ve MB quadracum ad M B quadracum, sic FTB qua-
  25. dracum est ad quadrarum IIB, id cM I. B linca ad lincam I. B; quadracum igieux
  26. F, O est gd quagracum P. O ve BP linea ad lineam BI, parabola igitur est
  27. BOC, axem habens B F 5 ad quom ordinarim POTEX TuINE FO, FC. quia
  28. aurem FC, aequacur B F, criam FC larori recto aqualisest. Ouod orac demon.
  29. Aranduma et I AicI.
  30. 381 5 t c L 579A
  31. ib ba monm eo RR DPOSTFIO C CLVI
  32. EAX AC, BMI diametri circuli A B C decustene sele ad rectos in
  33. LH; ponantur aurem per A, B, C concingences, et recta ducantur
  34. AC: Occurrences circuli peritoero in C punctis, per que ponantur F. I
  35. parallelae AC ex xquales lineis GC: linere verd F. L. x quales tranc re-
  36. ctis, A G, F L.
  37. Dicopuncta IL ad parabolam ette virrualem
  38. TIFCCL POnanEUE LK aeqyales. A G SIvA A HL C, normales aurem adBD;
  39. a qua bitariam scceneur in L. L.: hanc deinde linex KO aequales sineis
  40. eren. 1.
  41. Demon-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 842. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0899?run=74