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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 288

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: 0.77.

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

The machine reads it as

  1. PE EOR E A A F A
  2. AL.) e DB in 1B, aequale est AB in LC (et eM 1Bad IC, ur AB adDB:) erso AC in AB
  3. plus AB in LC pA L B in DBminus AB in LC, 1OCA AG in ALEVC AD in AF pluSDBII
  4. 288
  5. FB, aqualiL CFHE AB in A C, hisce isirur ip ( AB axplicaris, orierur lacicudo AC, erirque
  6. AB quadrarum ad AD in AE. plus FB in DB, ut AB ad AC. Ouod erar secundo locb
  7. ostendendum.
  8. prianoulis ALLI, AOB, ACB, nam proxrer criangulorum limilicudinem, crieur AB qua
  9. drarum ad AE in AD pluSEBin DB, ira AB in AHI ad AD in AK pluS DB in KFI: GiquI
  10. dem estur AB ad ACI, itA AF ad AIL, _ EBad KHI, icemque uc AB quadracum 2d AL
  11. in AFI, ita EB in AD minuS DB in AF. ad RHI in AD minuS DBIn AK.
  12. xouale elD BM LDminus DB in IB, (CM CHLCB ad DB, uE EI vel FB minus IB, 20
  13. X
  14. O Y 10
  15. Eadem elt demonstrationis vis, quum criangulotu etvellae sunthyporenula, uc in
  16. Sit trianguli primi perpendiculum 2. basts L.
  17. Secundi perpendiculum L. basis3.
  18. Frianguli tercio similis fit perpendiculum r. basis 7.
  19. junctus acuo secu, Lgue acum terrii, latera certii recipiune hanc
  20. limilicudinem.
  21. dis plus rectansulo lubperpendiculo secundi de base primi.
  22. Balis, rectangulo subvalous primi ec secundi, minus rectansulo sub pet
  23. Reperacur superioris Theoremaris diapramma, in quo est B. C ad AD, ut CB ad 1B,
  24. ec rectanoulum AD in CB, aequale rectanoulo AC in IB.
  25. Atrandui.
  26. Es aurem AB inEB, aequale ipsis AC it
  27. IB, AC in SE e CB in BE id est OB in BI.
  28. plusGBin IE: X es AB ad DB, uc AI ad IF.
  29. de rectangulum AB in IF, equale rectansi
  30. IoDBin AI; sed ABinIE, aequale est A
  31. in IE, plus CB in LE: quibus addatur CB 10
  32. IB, id estDB in IC (est enim GB ad DB, ub
  33. ICad IB), CrunEAC in IE, plus CB in IE
  34. plusCB in IB, aequalia AI in DB, pluS IC it
  35. DB, id est DB in AC. ergo AG in 1B, id el
  36. AD in CB, pluSDBin AC, Xqualia eruM
  37. AB in FB: et omnibus ip(i AB axplicatIS.
  38. aequale rectanguto AB, CCSO AD in IC: Sed rectansulum AD in l
  39. Sutriansuli primiperpendiculum I. basis 7.
  40. Secundi perpendiculum 1. basis 3.
  41. Trianguli terrio similis perpendiculum erit L. basis 2.
  42. A E O R E M A II.
  43. Situerine eria criangula reccaSu, Quorum primi angulus acurus ad
  44. FEyporenula, sclimilis rectangulo sub hypotenusis primi d secundi
  45. Perpendiculum, simile rectansulo sub perpendiculo primi, e bale seculs
  46. Pendiculis Corundem.
  47. erir AB quadracum ad AD in CB, plus DB in AC, uE AB ad EB. Ouod erat demon
  48. Rursus est AB ad AD, ve AIid eA AC minus IC ad AE, ee rectangulum ABin AL
  49. Cuaquale rectangulo CB in VB, (CtLCM AD ad DB, ut C B adt 1C.) ergo rectangusa
  50. bIn AL, aequale ericrectangulo AD in AC, minus rectangulo C Bin DB, ee omnid
  51. Pl AB applicaris, eric AB quadrarum adt D in AC, minus C. B in DB, ut AB ad d
  52. Ouoderar demonstranclum. F odemque modo licer hyporemilae criangulorum inagu
  53. les tuerine, urprius animadverlum est.
  54. FHEO.
  55. di
  56. omu
  57. a1
  58. et
  59. empor
  60. Madra
  61. imin
  62. Pessu
  63. A
  64. N
  65. ellive
  66. deci s1
  67. dici
  68. Deim
  69. 18
  70. lar
  71. DC
  72. laro 1
  73. 1
  74. Iater
  75. llater
  76. Fd
  77. Pdrene
  78. dc
  79. 10. soli
  80. u
  81. ter
  82. dene
  83. eri
  84. L. dc
  85. e
  86. i. ee in
  87. ut
  88. duc
  89. lor
  90. po
  91. eie
  92. 1

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 288. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0294?run=74