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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1134

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: 0.86.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. ADR A FY R A CIRCYLI
  2. Constructio e demonstratio.
  3. Te quadrans circuli ABC divisus
  4. bitariam recta BD, _ sumpEiSD F,
  5. DE arcubus perimetro circuli coM.
  6. melurabilibus qui incer le sinc aequa
  7. les, demissilque perpendicularibuis
  8. E C; F TI ad diamecrum IC, ponan-
  9. TUFP B, F B. Inveniacur deinde arcus
  10. KE a commensurabilis arCUI F F; CX
  11. cuius exrremis punctis demista RN
  12. LM Perpendiculares ad diamecrum
  13. TC incercipiane rectam MN xqua-
  14. lem rectae OFT. vel isiEUFAFCUS R A
  15. aequalis cric arcui L I, vel maior, vel
  16. minor. quod Eaequalis lc, isitur arcus
  17. LK non Tolum eA commenlurabilis
  18. arCuI F F, Sedb aequalis: cum MVI
  19. Ponacuraqualis GTT, _ aFCHS AR X-
  20. qualis P I, AICDEEE AECUS AF, F C. vn
  21. deiceranda est constructio, doncc vel
  22. AR arcusmaior (ICarcu L Ivel C CO-
  23. ETAATCUS L LMAIOTAFCU AR. Sicigi-
  24. EUF. AK arcusminor I I ee ducan-
  25. Per I3. EDx FB, T B. OBonIAM PONIEUE ArCUS A R minor arcu LI, ergo c legmentum
  26. 115.
  27. IsE huius. Y. M NK maius est sectOre P. B R. nota aucem est d proporciO (Cgmenti L. MNK ad
  28. =20 huins. segmencum F C HIF, hoc es cad sectorem F. BF: noca cA praecerea racio sectoris
  29. LBR ad sectorem H B. F, CHM ATCUS P K, P. F sine commensurabiles ex constru-
  30. ctione. Igicur noca est eriam rario LM NK ad secorem L BK, que cum noca C
  31. etiam excesus, quo P. M N R superarlecorem V. B K, norus cA; aC proprerca noca
  32. est ctiam ratio lectoris F. B F ad rectilincum exceNum quo SESMENEuM L M N R
  33. excedic (catorem LBR, (excelum aurem cum rectilincum esse posse parec, si iung2.
  34. cur puncta L. R, d criangulo TBR ablcindatur crapezium aequale ex crapezio
  35. L. K NM, adduco enim communi segmenco L. K, eric sector, segmenco _ illicrapezio
  36. aequalis, quare reliquum seomenti eric excestus e quidem rectilincus) ee consequen-
  37. ter nocaes racio corius dirculi ad idem rectilineum, quoniam arcus R F commensu-
  38. rubilis ett perituetro circuli PAC ex constructione: quare peractum est, quod fuic
  39. Beor2I
  40. 4143
  41. Error. Non
  42. quitur qui
  43. nota
  44. e statim
  45. nom Bonam
  46. se tu
  47. retur qua
  48. deo noto
  49. in ergo
  50. rit differentia
  51. impe
  52. 9
  53. pati

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1134. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1191?run=74