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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 32

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. LIN F A R V M
  2. ra, aequalia duobus laceribiis AC, AK; isicur criangulum NV AB, xqualc est crian.
  3. sulo C AK, _ A F rectangulu, xquale rectangulo A P: eodem modo oltenditurre.
  4. 2
  5. EtanguM C M, a GeaSLSBCCAIGCN CL. VIC HD Quadlratum, aequale est re-
  6. ctancuns AL, CMlimul Cumpris. SeLLLCCa a perat quadracum AP, rC.
  7. ctangulo BF, idCCSo ABH, dC M rectangulum, superac quadratum C F.
  8. rectangulo BM, la CMccanslo CBL, id olt AB FTrectangulo; ioieur quadra-
  9. cum AD, Superac quadraca AH, C F. rectangulo AB IT bis Sumpro. Ouod erar de-
  10. monstrandum.
  11. derorions
  12. iniucundum tamen fore putaur, si Deramque Cosent su quo Pythacoras 47. primi Element.
  13. hocloco demonsturem.
  14. DRopositionem hanc, vii ex sequentem, licet demonstret Fuclides Zib. 2. prop. 12. Cx 13. non
  15. eROPOSITIO XLV.
  16. ST0ABCtriangulum orygo, d lacerum quadraTa AD, C F.
  17. lineas C B, IF
  18. EBC bis sumpro.
  19. A F. DuCaTUEGNE ex A linca AC, Secans orchogonalicer in LI, e C,
  20. Dico AD quadratum deficere a quadraris CF, AF, rectangulo
  21. 231. Zerrij.
  22. Demonstratio
  23. Vcatur ex C Li-
  24. nea, lCCanSOF=
  25. chogonaliterinL 8
  26. R linCaS AB, FMI.
  27. iungancurque pun-
  28. CTa AL, CM, BD
  29. BNV. delcripeo dein
  30. (uper AC ve diame
  31. cro, lemicirculo
  32. AFTC, (GII EraNSI.
  33. bicpeF = TIR R) de-
  34. miccacur ex B, linca
  35. BO, Cccans ortho-
  36. gonaliterin OexP.
  37. LInCaS AC, DII.
  38. OUOnIA AM, L C
  39. lincae aequidictane,
  40. CFIE NAC crian
  41. gulum, xequalc di
  42. midio reccanguli
  43. AK Codemqg; 1n0-
  44. nem sint aequales, audico communi angulo B A C crunc anguli H A C, B ANquo-
  45. que inter (C _GHALES, sUNE AuLE _ LaCCTA AMI, A C aequalia duobus laceribus AB,
  46. APT, igitur ertangulum MI A C, aquale triangulo B AVF, _ A R recrangulum, aqua-
  47. le rectangulo A P: dupro Mu crianguli B A RT. Eodem mOdO OCECNdICHIE RECFAN-
  48. sulum CC, aequale cAe reclate ao P: quare AD. quaaratuM; aguase et re-
  49. a cctalis clcaet
  50. aequale dimidio recranguli C G. rursum cum anguli AX AB, C AN per constructio-
  51. crangulis Cer HR. LedCeecatouu deticic a quadraco C F, reccangulollt
  52. id est rectan sulo TTBC; X AR rectansulum, deticit a quadraro AL, rectarigu-
  53. IOT F, id ele LCCaoulo AB C, id cM CCCLAHBMIO HLBC; IBITUE quadrarum AD.
  54. u tu ti u u i u u pi u u u p u e p i nmu

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 32. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0089?run=74