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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 390

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: 0.82.

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

The machine reads it as

  1. 390
  2. Y AR TORNM DE R EBV S MIA L H E N A TTCTS
  3. ACLD AO, OO ad id quod Ertub AO, CL, licutOB id est CR ad CL. Ouare est KC
  4. ad AM, SICHE CR ad CL. Sed CR ad CL est, sCUE C K ad C A. Ouare cAt KO ad AM,
  5. SICUE CK ad CA. Er converrendo cst AM ad KO, sicur C A ad CR, ec subducendo ell
  6. Ca minus AML ad CK minus RO velOC; tell alirer eAt MNV ad OC, sICUE AC ad C H
  7. id eA sicur DC ad DS. Er constat propolicum.
  8. PROPOSTFIO LV
  9. Invenire lincam rellals e cumterentixe daci circuli aeslate.
  10. Sic datus etrCuHs CHs A Cen
  11. erum, diameter BAC. OporcertA
  12. cere quod proposicum est. Delcriba
  13. rur helix cujus principium A, prin
  14. cipium vero convertionis AC. C a
  15. dacaurem in A C pervendiculart
  16. tex recta D A, quam alia recta ran
  17. gens helicem adC intercipiar in D
  18. Dico D A cori circumferenria da-
  19. ei circuli B C esse egualem.
  20. Si enim non (F aqualiS, erit isi
  21. tur major aurminor. Primum (HC
  22. i poltic esto DA major circumte
  23. rencia dari circuli BC. Itaque et
  24. propositione prima Cumatur recto
  25. minor quidem ip la DA; sed major
  26. ip(a circumferenria circuli BC; d
  27. SE illa ZA. HTelicen aurem tangens
  28. recta CD, incercipiar circumferen-
  29. tiam in F. EFEcenErOACtA AF leceL
  30. inscripeam E. C bitariam in F. F.L
  31. IBITUE SICHE C A ad AD, it C P aC.
  32. FA. Sed SICUFC A ad X A, ita criu
  33. C Fadminorem quam A F, UEPOEC
  34. FZ. Iraque ex propolcione lecun
  35. da CONFIHLCTE F C, _ CduCAEUI
  36. AII G ita secans circumterentian
  37. quidem in FI; CONFINUATaM VetO
  38. E C in G; urHIG ad CFI, Se habeat
  39. AICUE C F ad FZ, hOC eA GICUEAC aC
  40. AX. Converum igituE d permu
  41. carim exit AC Ceu AH ad FIG, GCUE
  42. AX ad rectam C FI. Hlocaurem ell
  43. ablurdum. Ep(a enim AO incerct
  44. Piac helicen in l. FX proprierat
  45. igirurhelicis, est A FTadFIL, sicuD
  46. circumferentia tora circuli ad cir
  47. cumferentiam CHI; _ con (equen
  48. cet cum tora circumterencia cedat
  49. propoliione Pa LetalL LCCLa LIC GCTECMT CHCHIMLCTCHCA CMCMI F. BC; se d mase
  50. ipla AD, _ I HS. LHEIBIUE AC Ld R 3. HCuLC L Ae tmajorem quam F A, ue pore l
  51. leaque rangat quaepiam recta circulum ad C. et ex propolirione rerria e duenrur Al
  52. reCt A Z, CTIT AFL Ad HI L, SICUF A Z ad majoLCM CM CUFerentIa C FI; e cum H1C p
  53. Aecipli E (rangir enim helicen recta L C Non ellam secac) mulco magis erie AL
  54. HYG Sicuc A L ad majorem longitudinem circumtereneta C. I1, nedum recta C. H. 9a
  55. minor elL GNam CurrA C FI. Non CIBHa DHMMOL circumFerentia circuli.
  56. Sed h heri possic, csto D A minor circum terenria dati circuliEBC. Ieaque ex eadet
  57. ia
  58. uEHE
  59. 0
  60. riam
  61. Con
  62. ic
  63. Hloc
  64. nim
  65. pova
  66. d
  67. cireur
  68. quens
  69. e
  70. Bicen
  71. pume
  72. Bieur
  73. fircul
  74. Cirer
  75. eB
  76. 10c
  77. ine
  78. in
  79. uma
  80. quide
  81. niei
  82. Aeri
  83. qoqu
  84. m se
  85. Urer
  86. et
  87. duco
  88. ndu
  89. n
  90. ete

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 390. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0396?run=74