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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 171

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. oc
  2. CTR CVLVS
  3. ConteneuS, puncta C e D obtinear; cum
  4. igitur anguli C AD, CBD, arcui CD
  5. insistences sincxquales, crunt quoque an-
  6. ouli HIAO, FBF reliqui aquales; a0
  7. proinde arCUS FOF, FOFT, adeoque
  8. iunatx F, C, FTF equales.
  9. Tereio punctum C inera A CFB circuli
  10. spacium concincatur; D vero punctum
  11. exera collocacum sIE. Ducatur CI aequi-
  12. distans CB, iungancurque HII: quoniam
  13. CT. CB aequidistane; anguli ACB,
  14. ACI, aequales lunc; unde ee angulus
  15. A FTI aequalis eA ansulo ADB: quia
  16. ATTL, acum AOT, hoc cA ACB
  17. duobusrectis equalis est, sicuC est anBu-
  18. lus ACB cum ADB. Vnde aequi-
  19. distanEeS TunE FTI _ DE, adeoque
  20. _ areus FTB, FPe consequonter LIF,
  21. BI xequales. quare _ iuncta HTF id cA
  22. BI iph F C aequatur. Ouoderac de-
  23. monstrandum.
  24. PROPOSITIO VII.
  25. Seo AB C criangulo rectangulo, cemicireulus interiprus AF D con
  26. Scinsens AB, BC. lacera in A X F: _ per P ponatur recta D F. Occur.
  27. renS AB, in F. 1c1
  28. Dico AB, BF lincas, Equales esse.
  29. Demonstratio.
  30. Vngantur A F: etirigicur angulus AFD in Cc. X
  31. micirculo rectus, vei ex reliquus A F F: qui pro-
  32. inde aequalis est duobus angulis E F A3 P AF:
  33. esaucem angulo F A F aequalis BP A, cum AB,
  34. B F Iinc concingenees ex eodem puncto eductxs
  35. adeoque aequalesi reliquusigicur angulus AlF.
  36. reliquo BF F aequalis cAt: quare BF rectE BF,
  37. hoc est AB, aequalis cAt. Quod erac demonstram-
  38. dum.
  39. PROPOSITIO VII
  40. iEse
  41. Virculum ABC, contingar intus circi
  42. slus DE B, in B. transienS peF D cen-
  43. erum circuli ABC; ductis in(UPEF PEF D rectis AD F quX CITCHIODE B
  44. Occurrantin E: Ranc D F. rectis aequales DH, e perpendiculares po-
  45. nancur FII ad diamerrum BC.
  46. Dico FB, H + lineas, aquales este. i
  47. lacer
  48. 121C
  49. demon.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 171. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0228?run=74