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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 36

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. .
  2. OCFS T TCF N S PE C
  3. li5. aequarur quadraro adete sat ex bale primi, e Pelpencelo secundi, plus quadrato
  4. differentia incer perpendiculum primi, de balin secundi, vel ctlam, aequarur quadta
  5. coaderegari ex perpendiculo primi et bale secundi, plus quadrato difterentix inret
  6. balm primi de perpendiculum secundi.
  7. PR OP OSTFTO XLVIII
  8. Duobus erars us rectangulis aequalibus e xequiangulis, cerrium
  9. Lcriangulum rectangulum, constitere.
  10. Suneo duorriangula rectangula, quorum communia latera hyporenula quidem A,
  11. perpendiculum B, balis D. Oporrear ab illis duobus cerrium criangulum rectangulum
  12. constiruere. Fiar de ductio licur docuic Propolicio 46. caluprimo. Deduci enim cantum
  13. Porest synareleosvia, non aurem dixreseos. Fir hyporenula similis A quadegto. BalS, D
  14. quadraco ==B quadraro. P erpendiculum B in D 2. Perrium aurem illud, vocetur erian gu-
  15. lum anguli dupli, de ejusrelpectu primum ret secundum dicerur anguli simpli ob cau-
  16. la5 F suo ponendas loco.
  17. Caussa est quod angulus acurus trianguli re-
  18. ctanguli a duobus triangulis via synareseos effecti a-
  19. quetur angulis acutis horum trianculorum simul
  20. adorepatis, cujus theorematis conversum demon-
  21. stravit andersonus theoremate secundo sectionum
  22. angularium. Porro acuri voce intellisitor is angulus. Dins
  23. cui perpendiculum subtenditur.
  24. pli, erlarsulum seclatigulum eftinsere. Vocetur aurem cerrium illud,
  25. criangulum anguli eripli.
  26. Sunco duo criangula rectangula, unum anouli simpli, cujus trporenula A, pervendicu.
  27. Ium B, ba(isD. Alcerum anguli dupli, cujus consequenter hyporenula sic similis A qua-
  28. drato, batis D quadraro = =B quadcaro, perpendiculum limile plano duplo, ex D in
  29. B. Oporreat ab illis duobus criangulis rectangulis, terrium eriangulum rectangulum et
  30. Angere. Fiar deductio, ur docuir Propohrio 46. primo calu. LFingi enim tantum po-
  31. rest Cynaereleos via, non aurem dixreleos. Fir hyporenula, A cubus. BalIS, D cubus
  32. D in B quadratum 3. Perpendiculum, D quad. in B 3 B cubo.
  33. P R OBOSTF1O,
  34. Friangulo rectangulo anguli simplis
  35. extriansulo rectansulo anguli eripl
  36. tertium criangulum rectangulum consti.
  37. FICTC. Vocetur aurem illud, criangulum
  38. anguli quadrupli.
  39. Sunco duo rriangula rectangula. Vnum an-
  40. buli simpli, cujus hypocenula a, perpendicu
  41. tuns B, balisD. Alcerum anguli eripli, cujus tY
  42. potenua Conlequenter tcsimts, a c00. BlI3
  43. Friangulum ariguli dupli.
  44. ROPOSTFTO LLLZ
  45. Triangulo rectangillo simpli, e
  46. Claslo rectansulo anguli du-
  47. Triangulum anguli eripli.
  48. DC, D in B9. 3. Perpendiculum, livisse D 4. I 63, =Bc. Oporceae ab illiscertium
  49. triangulum rectangulum constiruere. Etat decuelto, de docuir Propolicio 46. casu pri
  50. lum BIHDC 4, = BCIBB
  51. mo. Fic hyporenuta similis, A 99. BaISD99. -Dq. in B9. 6, -+ B99. Perpendict
  52. PRC

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 36. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0052?run=74