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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 302

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.

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

The machine reads it as

  1. PHE OR E M A F A
  2. Ouodpohtremum, rudioribus ee in AnalyrietsiBImus Forrassis exercisatis exemplo, lic
  3. oltendilse cuerie opera. prerium.
  4. Sit drculus cujus diamerer AB, sectus in Ceomenta HIIa Qualia, quorum majus B AC.
  5. circulum.
  6. Scementi itaq; BC C quincuplum,
  7. aequale erir bis circumterentix lub-
  8. cendenri quaruor angulos rectos i
  9. ve circularioni circa R punctum,
  10. et praeterea iph circumferenrix BC
  11. e quinquies sumprum segmeneun
  12. BC, illud compolicum metietur: se
  13. peratur quinquies, SInEqUE lCSICHE
  14. BGC, CAD, DBE, EAF, FBC. erit
  15. itaque segmentum BD, quod relin.
  16. quicur ex incegro circulo linde aute-
  17. racur BC C bis, duplum ipsius C
  18. reliqui ex semicirculo, ablaco inde
  19. seGMENEO BGC. erBO d FC aquale
  20. ipliBD (quum rectae BC, CD ipl1.
  21. CD, DE SnE xquales,) duplum quo
  22. que eririphus C’A, ac proinde de FA
  23. criplum iphusC A.
  24. Fademqueratione, quoniam rectae CB, CD ipsis quoque ED, F P Cunr aquales, erunt
  25. seomenca BD, DE aequalia, et scomencum BF quadcuplum ipsius C A: Similicer Lunca
  26. sCGMENEA GF, E. C aequalia, ac proinde de C A quincuplum segmenci C A erir igitur eriau
  27. gulum rectangulum AC B anguli simpli, BAD dupli, BAE cripli, BAF quadrupli, B65
  28. quincupli.
  29. Positaigicur semidiametro prima continue proporcionalium, e ipsa CB secunda, eaque serie con
  30. sinuara: erit ex sexto Theoremate recta CB aequalis sexta, minus quarta quinguies; plus secunat
  31. quinquies.
  32. Innocis, sit CKL. CBL N. erit + DC -5C F 5N, aequaleipsi BB.
  33. PR OBE E M A FFOV TTI.
  34. Datum angulum in septem partes aequales dispescere.
  35. Suppoliris quae supra.
  36. Xcubo. cubus in F7 - Z quadraro. quadraro in F. cub. 14 F X quadrato in F qud
  37. drato. cubum 7- F. quadraro. quadraco. cubo, aequetur Z cubo. cuboin B.
  38. Fit E quadruplex
  39. 2. Subcenla peripherix sub. sepruplae.
  40. 2. Subrensa Cub. sepcuplae peripherix reliquae ad inceorum circulum.
  41. 3. Subrenta peripherix composicx ex lub seprupla et dupla sub. seprupta EOFI
  42. circuli.
  43. 4. Subcenla peripherix compotica ex subseprupla ec quadcupla sub. seprupla 1o
  44. eius circuli.
  45. Ouod er Sc quoque declarabitur. Sic circulus cujus diameter AB, in quo subcendacus
  46. recta C. B, e Crperipherix CB pars seprima BK, cui ad datur peripheria RD, equalis du
  47. pla seprimae paeri corius circumterentix, de ducantur BD, D A. Dicoangulum DBA
  48. sexcuplum, aequalem esse quaruorrectis, e praecerea circumterentix ADC. dc proinc
  49. ex TheOremare 6 aqualicarem inter rectasBC, BK explicabilem quoque esse de termi
  50. nisBD, BC
  51. Fianeaquales BD, DF, EI, IG, GE, FLI, H C, et quoniam circum ferenria DB sepries
  52. SumpCas
  53. minus BFIC; _ heminoris segmenri subquincux lum BFI, cui addacur legmencum HCC,
  54. aquale dupla quintae parri quaruor rectorum, neque enim compolicum excedec lemi
  55. de
  56. cireur
  57. p
  58. eu
  59. c
  60. nter
  61. p
  62. pless
  63. derec
  64. 50
  65. recta C.
  66. nnoris
  67. minoc
  68. de ver
  69. paricor
  70. lac1
  71. ines
  72. 125.
  73. numer
  74. hoc
  75. dest
  76. Line
  77. Cum
  78. DCO
  79. MarI
  80. struct
  81. reso
  82. C
  83. pul
  84. eu

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 302. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0308?run=74