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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 384

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.

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The machine reads it as

  1. V AR TORYM DE REBVS HIA ZH E M A ZTCFS
  2. ejusdem circuli BCD seu ci aequalis BED dux Ix ampi, aequalis est circum ferenri
  3. FAB. Facem igicur aequalis quoque est dupla amplicuarm anguli lunaris ABF D. Sect.
  4. aurem esto vitariam F.AB circum Ferentia in A. AHS Lunaris ABED definica el
  5. amplicudo, videlicet Cicumlerentia BA. Ouod Faciendum erar.
  6. PROPOSTTTO VI.
  7. Friangula mistilinea, lunulis quas aquales circuli describune, exhibere
  8. 384
  9. equalIa.
  10. Duo xquales circuli unuS ABCD.
  11. alter BF D describane lunulan
  12. ABED. OpOrTCE LUnUIX ABED ex
  13. hibere eriangulum mistilineum a
  14. quale. Subcendatur BD, cruncigicu
  15. circumterentix BED, BCD aquales
  16. est aucem B Dminor diamerro, AC
  17. nim essec communis diamerer duc
  18. rum aequalium circulOrU COnCUErC
  19. rene illi, non eriam lunulam deseri.
  20. BCrenE. Ouare SecatUE circuluS qui
  21. liber inxequalirer. Sit aurem superio
  22. circulus ABCD, à quo dempea lu
  23. nula relinGLATE AguI Xcegrotdu
  24. E BCD. E.A igirur circumterentis
  25. DABmajor circumFerentia BCD, Cet
  26. BED. Ouare a circumferentia BA
  27. auFCratuF Circum FereNEIa BC circum
  28. FerenEIA BC D sCuB E D aequalis, manifectum est criangulum mistilincum CB)
  29. crura habets aequalia BG, BD, ip la sque rectaslincaS; balin vero BD circumferentiant
  30. lunula ABCD esse aequale. Tancum enim derealile lunula sccrio BC, quancum eide
  31. addic lectio VD. CaMHHEBD, BC lectionesmese aequales.
  32. ROPOSTTLO VII.
  33. Si abUnAGLAGUE EXTeMiTatuM diaMCCH, IUIMLMLHI HI C UdeM Datten
  34. cacum, inscribantur linex rectae ad terminos sumpearum x qualium ct
  35. cumterentiarum: Spatium cir cu Guod interiac et incer diamctrum et pic
  36. rimam inscripeam, adjuetu seco circuli, quam Facie altera in (Cxipla
  37. rum, aquale est duobus sectoribus qui sub aequalitus sumpris circumte
  38. Sit circulus sub A cenero, dime
  39. tiente quacunque BC delcripeus.
  40. in eande parrem circuli à dimetient
  41. BC bitariam secti sUI ANEUF CIrCUI
  42. Ferentix CD, BE aequales, et subret
  43. danturBD, BE, agantur quoque le
  44. midiametri AD, AF. Dico spaciurE
  45. comprehentum a rectis BD, BCd
  46. circumferentia DC, aequari lector.
  47. buSBAF, C AD. Triangula enimre
  48. Ctilinca B AF, D AC aequalium sUI
  49. laterum e angulorum. Duoniam a1
  50. tem in angulo rectilineo BDC rect.
  51. DA secar bitariam ba sin BC, ideo le
  52. cac quoque bitariam ipsum erial
  53. IuI
  54. circuli duxe circumterentix xquales; ab alcera aurem carundem eXFrCu
  55. Lenciis COTHPLChENdUNEUT.
  56. lum
  57. la
  58. deu
  59. ector
  60. Circi
  61. pC
  62. tiarur
  63. ecto
  64. atera
  65. ria
  66. cir
  67. Mor

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 384. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0390?run=74