Leibniz Legible

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 318

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. 318
  2. snccedat, adtirmata riacuel esaca, nesatx adtrmata: ac proportiona
  3. les illae sine semper alterna, de mulciplices quidem in prima adtectione per
  4. unicatis crementum, in se cunda per numerostriangulOS, In Fertia Per nu
  5. meros quos rocantprramidales, in quarta per numeros triangulo. trian.
  6. gulos, in quinta per numerostriansulo. prramidales, non quidem abuni-
  7. tate ur in porectarum geneli, (e d a binario (UUI dUICeNLCSIHCKCENEUM.
  8. In nocis sit prima concinue proporcionalium r, eademque triangulorum rectangulorum semiby.
  9. potenusa.
  10. Secunda vero concinue proporcionalium LN, quae intelligitor basis crianguli ad angulum persimentis
  11. submulciplum. Erit
  12. (Dupli.
  13. Tripli.
  14. Ouadrupli.
  15. Duincupli.
  16. Sextupli.
  17. Sepcuplio
  18. Octupli.
  19. (Noncupli.
  20. Preo in insinicum concinuando ordine, adscica siplacet numerorum continue trianeulorum à bina
  21. rio suum ducentium incrementum tabella.
  22. AD ADR. LCOM AAL L ROBLE M A
  23. BE
  24. tCC
  25. +C 7 X
  26. lBdC.
  27. AOCC -8 CC + 2090- 169 F2
  28. LCCC - 9OOC + 27OC -- 30C 1 9N
  29. B
  30. A L OL E M a
  31. Si Fuerine criangula rectansula aequalishyporenulx, quorum primi
  32. angulus acurus sit in libmulcipla ratione ad angulos acuros liccedentium
  33. ordine triangulorum, ad acutum videlicet secundi subduplus, Fertii (ubEI
  34. Dlus, quarci lubqua druplus, ee co continuo ordine; construatur aurem le
  35. rieslincarum rectarum continue proportionalium, quarum prima lEx qua
  36. lis semi hyporenulae, secunda perpendiculotriansuli primi, inter succt
  37. dentes continue proportionales et luccedencium triangulorum bales a
  38. perpendicula, haec erit aequalitas.
  39. Prima bis, minus cerria concinue proporcionalium, erie aequalis balicrian
  40. gulisecundi.
  41. Sccunda ter, minus quarta, perpendiculo trianouli cereii.
  42. Primabis, minus cerria quarer, plusquinta, bali erianguli quarti.
  43. Secunda quinquies, minus quarta quinquies, plus sexta, perpendicute
  44. crianguli quinti.
  45. Prima bis, minus certia novies, plus quinca lexies, minus sepeima, bali
  46. criansuli sexti.
  47. Secunda septies, minusquarta quaterdecies, plus sexta sepries, minus
  48. octara, perpendiculo crianguli seprimi.
  49. Prima bis, minus certia ledecies, plus quinea vicies, minus seprima octies,
  50. plusnona, balitriansuli octari.
  51. Sccunda novies, minus quinta cricies, plus sexta vicies septies, minus
  52. Octaranovies, plus decima, perpendiculo crianguli noni.
  53. Ecica in infinitum. inverlo eo, qui in antecedente Theoremate expot
  54. cusest, ordine.
  55. in nocis, Sic prima concinue proporcionalium r. ealemque communis rrianeulorum rectaneuloruit
  56. semits porenusa.
  57. Secunda
  58. d
  59. plum
  60. uiod
  61. Progre
  62. e A
  63. subrena
  64. A cir
  65. a
  66. Elum

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 318. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0324?run=74