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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 414

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. 424
  2. V A RZORYM DE ALE BYS NIA ZE E M A FTCFS
  3. 3
  4. VE adereearum similium transsinuo sarum ad disserentiam carundem, ila prosinus complemenii ds
  5. midiae summae peripheriarum ad prosinum dimidiae differencia, EF ita prosinus complemensi dimidiae dif
  6. ferentiae ad prosinum dimidiae summa.
  7. 2. Duod si una eperipheriis proponitur minor quadrante altera major,
  8. Eric,
  9. Ve adgrecarum similium transsinuosarum ad differentiam earundem, ita prosinus dimidia differens
  10. tiae peripheriarum ad prosinum complementi dimidiae summa, Es ita prosinus dimidia summae ad pros
  11. num complementi dimidiae differentia.
  12. Dara peripheria compolira e chuabus peripheriis, quarum sinus dacam habeaneratio.
  13. nem, dancur lingula.
  14. 2 Enimvero si composita minor est circuli quadrance,
  15. Fric
  16. resinus componencium prime ad snum secundae, ica cransinuosa complemenii composita ad prose-
  17. num complementi primae minus prosinu complementi composita.
  18. 2 Et si composica major est quadrante, ueraque vero componentium minor quadrante,
  19. Fric,
  20. resinus primae ad sinum secunde, ita cranssinuosa complementi composita ad prosinum complemen
  21. ei composica plus prosinu complementi primae.
  22. 3 Et si denique componentium peripheriarum prima sie minor quadrante, secunda major,
  23. Lrie,
  24. re sinus primae ad sinum secundae. ita cranssinuosa complementi composica ad prosinum complementa
  25. composica minus prosinu complementi prima.
  26. re sinus secundae ad sinum prima, ita transsinuosa complemenei composice. ad prosimum complements
  27. compositae plus prosinu secundae.
  28. Dara differenria duarum peripheriarum, quarum sinus daram habeanerationem, dan-
  29. rur singula.
  30. 2 Enimvero si differenia sie major quadrance cirendi,
  31. Erit,
  32. Ve sinus componenium prima ad sinum secunda, ica rransinuosa complemenei disferensiae ad prost
  33. num complementi primae minus prosinu complementi differentiae.
  34. Cum aurem prima sumetur major quadrance, secundu sumerur minor; ex contra.
  35. 2 Et si dosserencia sie minor quadrante circuli, disferences aucem peripheria diver sa sine specier
  36. Erit,
  37. Ve sinus prime ad sinum secunda, ica cransinuosa complemenei disferencia ad prosinum comple
  38. menti differentie, plus prosinu complementi prima.
  39. Et cum prima sumetur major quadrante, altera sumetur minor, ex contra.
  40. 3 Es si denique disferentia sit minor quadrance, ueraque vero disferencium vel quadrante minot
  41. vel uiraque quadrante major, ac prima quidem incellieatur ea cui debecur sinus major, secunda bi
  42. minor,
  43. Eric.
  44. resinus prime adsenum secundae, ita cransinuosa complemensi disserencia ad prosimum complemen
  45. si differentia minus prosinu complementiprima.
  46. EE.
  47. Ve sinus secundae ad sinum primae, ita transinuosa complemenei disserentia ad prosinun pt
  48. menti differentiae plus prosinu complementiprima.
  49. Cum aurem sumetur prima minor quadrance. sumetur quoque secunda minor quadrante. Fs Co
  50. era cum sumerur primamajor quadranie. sumerur quoque secunda major quadtranie. Iaque om
  51. sit ceu pibonor est problema.
  52. AL. 1
  53. ion
  54. siaru
  55. epher
  56. it
  57. i
  58. penii
  59. quidu
  60. canc
  61. a
  62. et
  63. due
  64. CituTK
  65. detion
  66. euri
  67. eliqu
  68. Ar
  69. ircul
  70. vidi

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 414. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0420?run=74