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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 374

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: 0.87.

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

The machine reads it as

  1. 374
  2. NA R TORYML DE ACF BVS A A FE EM A FFCIS
  3. Isxeliquarum balium ordine luccedentium crit progrectus.
  4. Fertia continue proportionalium, minus prima bis, exie xequalis bali an.
  5. suli dupli.
  6. Ouarta, minus secunda ter, basi anguli eripli.
  7. Ouinca, minus certia quarer, plus prima bis, bali anguli quadrup li.
  8. Sexta, minus quarta quinquies, plus secunda quinquies, bâsi anguli quin-
  9. cupli.
  10. Seprima, minus quinta sexies, plus certia novies, minus prima bis, ball
  11. anguli sexcupli.
  12. Octara, minus sexta sepries, plus quarta quater. decies, minus secunda
  13. sepries, bali anguli sepcupli.
  14. Nona, minus sextima octies, plus quinta vicies, minus cerria se decies,
  15. plus prima bis, bali anguli octupli.
  16. Decima, minus octara novies, plus sexta vicies septieS, MINUS QUATtAEKI
  17. cies, plus secundanories, bali angulinovemcupti.
  18. Peira in infinitum, ut per loca proportionalium imparia nora adfectio
  19. succedat, adtrmatx videlicet nesata, negacx adtirmata. AC Proportiona
  20. lesillae line semper alternae, e mulciplices quidem in prima adtectione pe
  21. unitatis crementum, in secunda per numeros eriansulos, in Terria PCF NC
  22. meros quos rocant prramidales, in quarta per numeros criangulo. Frian
  23. oulos, e ita continue, secundum porestatis, cui proportionalis ad dicta
  24. elt conditionem.
  25. Vetiaec in Analyricis abunde, (ut
  26. ficiencer que demonstrata dt expoli.
  27. Ea TUNE.
  28. Sit circulus sub a cenero, diametro BC
  29. descripeus, et sumantur circumferentia
  30. aequates CD, DE, E F, FO, CFL, YIL
  31. LIE, es subtendancur BD, BE, BF, B6
  32. BHI, BI, BE; sit autem dimidia BC
  33. partium 100, 000; BD parrium 196.
  34. 000. Et ad datas primamB A, secun
  35. dam BD. construancur proportionales con
  36. nue. Unde fit.
  37. Terlia
  38. 100,000,000,000,000.
  39. 196,000,000,000,000.
  40. 384,160,000,000,000.
  41. 752,9531600,000,000.
  42. Duita 1, 475, 789,056,000,000.
  43. Sexta 2, 892,546, 549, 760,000.
  44. Septima 5, 669, 392, 237,529,600.
  45. Octara 1F, 112,006, 825, 558,076.
  46. C
  47. 200,000,000,000,000.
  48. BD 196,000,000,000,000.
  49. Erit BE 184, 160, 000,000,000.
  50. BF 164,953,600,000,000.
  51. B
  52. 139,259,056,000,000.
  53. BA 107,778,549, 760,000.
  54. BI
  55. 72,096,901,529, 600.
  56. BK 333531,377, 238,026.
  57. Pt
  58. Secunda
  59. Ouarta
  60. Oualium isitur est recta
  61. 1FE0
  62. CCTI
  63. minii
  64. Ca in
  65. umc
  66. Si
  67. Hio B
  68. cireum
  69. cunqu
  70. IlaB
  71. BC. B
  72. 18
  73. ut
  74. adjune
  75. ct qu
  76. AdBC
  77. BA seV
  78. ous de
  79. daplar
  80. R, B
  81. num.
  82. qualiur
  83. crupuli
  84. ir
  85. dlemen
  86. Mir 10
  87. ult
  88. Par
  89. d0
  90. eanc
  91. exsal
  92. derr
  93. ibeli

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 374. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0380?run=74