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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 181

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. et
  2. EC
  3. bu
  4. cen
  5. CCUIIE
  6. iament
  7. ItaB
  8. icuei
  9. RI
  10. XVI.
  11. iM ct
  12. nA;
  13. dia
  14. F.
  15. CIR CVF VS
  16. Demonstrario.
  17. VAaTAFUMENIM A C, ad AD quadratum est
  18. E AB rectangulum ad rectagulum ITAB
  19. elemenca: hoc estve C A linca a ad lincam
  20. LLL. lcd ve C A ad FIA, Sc C+ AI rectangulum
  21. dd rectangulum IT AI, id est quadracum A F,
  22. ad AF quadratum; ergo ve quadratum AC, 2d
  23. AD quadracum, ica es A F quadrarum ad qua-
  24. deacum AF, quare ve A C linea ad AD lincam,
  25. ita AI, 2d A F. Ouod erar demonstrandum.
  26. PRO POSITIO XIX
  27. InE ContInuX proportionales AB, AC, AD, diamerri circulorum
  28. leincus in eodem punctocontingentium, crectaque ex B normalit
  29. Ter BO occurrence perimeeris in HI de G, iungANEUE AG, AFI.
  30. Dico AB, AHI, AC, esse in continuaanalogia.
  31. Demonstratio.
  32. VnCeNIM IN CONCIMUAEA TaTIONC AB, ATI, AC.
  33. veluri eriam AB, ACi, AD per elemenca.
  34. quare AC media cA incer AB, AD; Ced exhy-
  35. Pocheli ipla quoq; AC media ponitur incer AB.
  36. AD. Igicur AC, A C linex (unc aequales; adc0-
  37. que in concinua lunc rarione AB; AHI, AO.
  38. Ouod tuic demonstrandum.
  39. eROPOSITIO XX.
  40. Ldurta fueric dtAMIELET AB in COTIHUC PFOPOHIONAleSAC, AD, AF,
  41. DAL, _c. Potlamurque normalirer ad diametru, _HI, EI, FL.
  42. Dicoinetas LFB, AHI, AI, AK, in continua quoque ccanalogia.
  43. Demonseratio.
  44. Vncenim quadrata AC, AH, AI, AR intex sC vE
  45. rectat ta B AC, B A D, BAF, B AF VE ex cle-
  46. Henas pater; se d rectangula ilIa sUINE VE A C, A D, AF.
  47. AF; igituE e quadEATA AC, AHI, AL, AK CunC
  48. vElineX AC, AD, A B, AF: quae cumponantur con-
  49. einux proportionales, patet e quadrata AC, AII
  50. a AR. adeoque de lineas, in continua essc 2
  51. Bia. Ouod crat demonstrandum.
  52. eR. O POSIIIO XXI.
  53. Veenicuio ABC recta collocara lic BB perpendiculatis ad ala-
  54. metrum AC, qua dinila bitariam in HI: centro HI, inceruallo HTB, de-
  55. Ecriba

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 181. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0238?run=74