Leibniz Legible

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 331

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: 0.81.

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

The machine reads it as

  1. CFD selet
  2. ux ericta
  3. CcanSC
  4. CC
  5. CCHECHM
  6. et
  7. CFBC
  8. rect
  9. ICF
  10. tendet
  11. BD
  12. exC
  13. lt
  14. E multB)
  15. lioM
  16. recire
  17. sin et
  18. Ct
  19. c
  20. 1
  21. similia
  22. c
  23. ver
  24. 115
  25. IIC
  26. c
  27. 1d
  28. 5.
  29. raBI
  30. cent
  31. F BOI
  32. 30
  33. L L V 5
  34. nonerir CB ad CD, sCuT CC ad CI, et ideo eo quoque casu dissimilia erune leGmenta
  35. CB, CD. Ouod crac ostendendum.
  36. lum AEF circulus secundus. IIII
  37. isicur circuli sese muruo secabune
  38. in A vel sele cangene, sed non sele
  39. muruo secanE. ENenc enim AE
  40. AB Scgmenca dilsimilia corum,
  41. quorum sune subcentae, circulo-
  42. rum. Sed Cune smilia. Similia c-
  43. nim (unEerIANGULA ABD, AFF. II2
  44. que es uE AB ad AE, ic2 semidia-
  45. meter circuli criangulum ABL
  46. circum scribenris ad semidiame.
  47. puncto. Quoderat ostendendum.
  48. culum, quem data linea recta _ datuS CIrCUIUS CONEIHSANE.
  49. Sic dacum A punctum, dara quoque linea recta BC, ac datus detique CITCHIUSDEF.
  50. Sporcec per A punctum circulum deleribere, quem recta linea BC, dc circulus DFF Con-
  51. AMBINE. ExC cencro circuli DEF demirtarur in BC pespendicularis DC, secans ex dia-
  52. MEEEO CIrCUIAI DEFin
  53. punctis D F, de conne.
  54. CtacurD A, quae ica le-
  55. CetuTIn H, uc quod EE
  56. subDA, DH aequale SIE
  57. ei guod Ec (uD DC, DF.
  58. de per puncta AH de-
  59. leribatur circulus, quem
  60. recta contingat in B,
  61. ec agatur DB lecans cir-
  62. CUIUIDEFINF, XCOn-
  63. ReCtAEUEFF. R CCtUS eA
  64. iBicur aneuluS DEF
  65. leaque in quadiitaTerO
  66. BEFC anguli oppolici
  67. duobus rectis lUNE X
  68. suales, rectus enim quoque est angulus BCF. Ouare quod tclub B. D aqe e et
  69. uod sic sub DF. DC, id est ex constructione aequale ei quod Ec sub DA, DH. Sunc ixi
  70. AEPUNCtA AHEB in circulo. Sed F. est in circulO DEF. Ounre circuluS DEF LecaLVel
  71. rangie
  72. Lemma TII.
  73. Si per crura trianguliaxatur recta basi parallela, ilaque duo construuntur subio-
  74. dem verrice similia triangula, qui circa rrianculum unum describetur circulus tan.
  75. Setur in verrice communi à circulo qui circa trianculum alterum describetur.
  76. SiE CrianOMIUMI ABD, ipSIUIS AULEM CrUTA AB, AD secerreCt 2 EF ip EI BD parallela, ir295
  77. duo constiruuncur similia criansula ABD, A E. F sub eodem A VerCICC. Ajo circulum ett Cd
  78. eriangulum ABD deleripei a circU.
  79. lo circa criangulu AFF delcripro
  80. rangi in iplo A puncto. Delcriba-
  81. tur enim circa exian guIUM ABD
  82. circulus primus, de circa criangu-
  83. trum circuli rrianoulum AEF circum scribentis. Cum igirilt nO tete muruo secent circu-
  84. AIABD, AEF, sele concingen in d. Ouare circulus ABD a circulO AEF canSeTUT IN A
  85. PR OBL E N A VI.
  86. Datis puncto, lincarecta, de circulo, per datum punctum describere cit-

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 331. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0337?run=74