Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 65

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. rimia
  2. CCHH
  3. BF
  4. Secundo calu, Primum sic.
  5. Secundum.
  6. midenr
  7. Indecertium.
  8. t in
  9. 2
  10. quadra
  11. quad
  12. +D quadrace
  13. in
  14. M.
  15. excectusbalis primi supra pelpelce.
  16. lum lecundi.
  17. N. compolica ex perpendiculo primi ec base secundi.
  18. Apparec aucem primo calui cum demum locum cAte, cum D in N praestacipA B in M.
  19. Secundo vero cum B in N praestat ip(D in M.
  20. Z E F E YF CY M V.
  21. Inremrenumero duo quactrata, aqualia duobus datis quadratis, UIF guX
  22. Scorum alcerum consistatinera limites praestitutos.
  23. Sine data B quadeatum, D g. Oporret alia duo quadrata iis aequalia constiruere, quo-
  24. rum alcerum praecter quidem Pplano, sed cedac G plano.
  25. Incelligatur Z9. aliudre planum equale Bg. F D9. Ergo Z rarionalis, ircationalis-
  26. ve elt hypotenulatrianguli rectanguli, cujus larera circa rectum sunc B de D. Duari-
  27. ricur aurem aliud crianculum rectangulum, cujus hyporenula quoque scZ, unum re-
  28. ro e laceribus circa rectum (urpore ba(I5) sEmajor N, sed minox quam S. Fo igitur
  29. reducicurres. Ve
  30. Invenienda sine numero duorriangula rectangula similia, daras habentes B dt D hy-
  31. Porenulas, ee diducti ab iis cerriieriangulibalis, compolira ex perpendiculo primi et
  32. bale secundi, consistarinera limires pexetinitos.
  33. Teaque 29. =- Ng. XqueTUE M9. LC L9. = Sg. aguerur R9.
  34. Si igitur N Racuarur basis cerrii diducendi crianguli in duobus similibus criangulis
  35. datas habentibus hyporenulas, etie per primum calum ancecedencis Z eretici ratio ditte-
  36. renix basis de hyporenula ad perpendiculum, ur Z9. = = D in N, + B in M ad B in
  37. N, + D in M, sCu DE X ad a. m . v . qui limes eAt primus.
  38. EE R S Aatuarue basis ejus cerrii crianguli, erir ob eandem expolicam caulam rario
  39. difterencia balis es hyporenulae ad perpendiculum, uc Z9. =- D in S, + B in R ad
  40. 3 in S, + D in R, seu vE X ad Z . o . t un. Cui times eA secundus.
  41. Potta

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 65. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0081?run=74