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Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 438

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: 0.91.

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

The machine reads it as

  1. NID NTMEN ABYERSYS NOVA
  2. iphusBC, e D HI duo decupl2 ip hus D C. Ouare exir E. FI carundem partium 48. DI
  3. reromluL L. Immo minor 1273. Ouadrarum aurem à larere 48, eA 2304; ab5 13Ve
  4. PROPOSEETOII.
  5. Semidiametri circuli a
  6. quadrararia diri(x parS
  7. a CenErO ad quadrata
  8. riam, major est media
  9. proxorcionali incer semi
  10. diametrum ex duas quin-
  11. cas lemidiametri.
  12. Sie quadrans circuli ABC,
  13. quadrataria B D; CUmaEUE A.
  14. aqualis duabus quincis sem
  15. diameeri AB vel AC; media
  16. veroproportionalis incer AL.
  17. AC, AIEAF. DicO AD majo.
  18. rem esse quam AF.
  19. Fxiis enim, quae de quadra
  20. caria a Pappo demonstrato
  21. sune, semidiamerer AB (ci
  22. AC, MC.
  23. 10, 169. Oux duo quadrata conticiune 2 473, non eclam 2500, quadratum à latere 50
  24. Ouare lecta DE, cujus quadratum aequale est quaatacis F II, DHI, minor est 50. ACv
  25. roratio50 2d 16, esrripla se(quiO CtaVA ACCUTaTC. KCalIO BitUED F. ad D P, minor est u
  26. pla selquioctara. Ouod erat ostendendum.
  27. Omnino arichmerica ram soiencia est quam Geometria. Magmeuandes rationales rationalibus nut
  28. mmeris, irracionales irrationalibus commode desienantur. Oui per numeros magnicudines mesIuI3
  29. suo calculo allas is deprehendic, quam re ipsa sinc, non arri sed artificis culpa est.
  30. immo vero, ait eroctus, est de Bunlinn cerpi BesEeQ recopVExOlaS. Accurate suppuranii consticusa
  31. diametro pareis unius, ambicus dodecasani inseripei fie latus binomia 2 = V 3888. Dui comtn
  32. pronunciaverit, errat vel in mensuris Ceometra, vel in numeris Epilosista
  33. ambieus autem circuli ad diametrum majorem esse cripla sesquiocu da. sicuii minorem cripla sesqtun
  34. seprima non dubitavic hactenus machemaricorum schola. Id enim vele demonstravis archimedes.
  35. igitur efalso Epilogismo inducendum fuie a ronmua oBanuOB aVES. Lineam rectam esse cireuta
  36. isdem cerminis concentamajorem, contrarium sumente atMimede ex rs nocvris ervolas, es ip
  37. eriam demonstrance Furocio, ac generaliter desiniense naolot rui nq a EX Xocov 3e a
  38. enazis leo civas ro odciar.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 438. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0444?run=74