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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 361

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.

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The machine reads it as

  1. 13
  2. C
  3. 11
  4. lib
  5. benS
  6. acur cit
  7. ic
  8. ost
  9. riaB
  10. 1a
  11. epsaB
  12. COrI
  13. RESPONSORVM. LTBER VIII.
  14. 6
  15. ExFcors. Sub A cencro, interrallo quocunque AB, de seribatur circuluS, IM GHO MIIa
  16. recta FB quancum. MSInIL, adrc-
  17. Ctam FI de ad sionum ejus Langu-
  18. culus constirmatur FIHI angulo;
  19. FBA aequalis (per 23 primi,) Per
  20. cignum Lrecta ia Parallela tiarre. 3
  21. etx FB, per signum vero Bparal-,
  22. lela HaL reCtX FL recta BC, jun Ct2,,
  23. BI, e demissa in IH perpendicu-3,
  24. lari BN
  25. AnodAEIS T. Ouoniam igituE.
  26. iToCcetium ABF, HIIF anguli sUNE,
  27. requales _ AFFI urrique COmmU-,
  28. vis, aequiangula e similia erune,
  29. ABE_HIIE iloscelia. Onia verO,
  30. trianguli AB C perpendicularis,
  31. CE secat basin AB bitariam in F. 13
  32. _ ad rectos AFI, BE l ansuIOS, Ca,
  33. larera AI, IB _ anguloSEAI, FBI,
  34. Facie adinvicem aequales (per 4 3
  35. exci) cum proportionalia sine Cin-3
  36. Sula Singulis laFera. CXFerUM CUIM3
  37. TrIaNDUIOTUM ABF _E FIIF ErapC- 3
  38. ZIABEIK CC IFBG SnE xequiangu-3
  39. la. (Acque haecapodictica hacte-3
  40. nus vera lune, sedjam lequiturp2-,
  41. ralosismus) _ in Cimilia criangula,
  42. dividancur, (cilicer BIOR IFB. A-3
  43. liud in IBK X IFB sectis angulis,
  44. Oppositis ex 20 sexti. EFErIaHBI- 3
  45. lum IBF Cc commune, sequetur (ex ejuldem Monito) ba Cn BF unius esle ad dimerien
  46. dem BI, ur alia balis F. L ad eaudem dimerientem BL, dt idcirco aquales BF _C F L (PernO-,
  47. nam quinci.
  48. Anod sEis LI. Rursus et secundo cum ilo sectium ABF _ HFLBales ac reliqua laterA SINE,.
  49. proportionalia, si aliqua balis BF sic major EI balireliqua, lacus FL majus erie latere BF,
  50. (cum sinc similia eriangula BFL _ IBF,) Sed ec minus nempe aequale ba(i IF minore (up. 3
  51. Polica, quod ticrinon porest. IEaque eruneBF e lF recia aequales.
  52. Arod AEIS LLI. Rurlus ec cerrio in criangulis BFI, IFB aequalibus e habentibus unum.
  53. angulum BFLuni LEB aequalem, uitaque rectarum FI, FB est communis ba huniusac la.
  54. erialceriusreciproce (per 15 sexri) ex proinde aqualia erunrilo (celis IF B laceca IF ip(I FB,.
  55. de anguli qui ad balin IB aequales.
  56. divessuos dolireo O. Secundo dico angulorum ABF, AF B unumquemque esle criplum,
  57. reliqui.
  58. ArodEs. Trianguli enim AIB exterior angulus FIB rel FBF illi aequalis, binis LAB,
  59. BA incerioribus est aequalis, cui ad datur 1B A aequalis ei qui ad A. Forus AFB e proin-
  60. de religuus ABFCplus ctic anguli BAF reliqui.
  61. Euuxceaoua. Ulolceles iraque criangulum ABF habens unumquem que eorum ABE,
  62. t B qui ad balin sunc ansulorum criplum reliqui qui ad A, conslicuimus.
  63. Llen-
  64. tur circumterencia hexagoni BC, _ cadar in semidiamerrum AB perpendicularis C F.
  65. agacur aurem altera semidiamerer AP, Secans C B in quocunque F puncto, perpendicu
  66. larem vero CF in I. (Fcquid enim acriner ad constructionem secare C F. bitariam in D.
  67. X per D agere parallelam ips AD, ad indicandum F. punctum cum in quibulcunque le-
  68. ctionibus eadem omnino viscat argumentario:) Denique jungatur FB.
  69. AIoesSpOS nECOTO. Dico rectasIL
  70. E. B esse aequales
  71. Kaeraoxan. Producatur enim.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 361. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0367?run=74