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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 383

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. p CHC
  2. lari.
  3. recta 6i
  4. eUM
  5. dicivees
  6. eeo delet.
  7. 0
  8. recta
  9. CCirCUI
  10. Aio1
  11. DB
  12. 1a
  13. +
  14. et
  15. M.
  16. poc
  17. AC
  18. b21.
  19. 105 l
  20. RESPONSORVH. LFDER VIII.
  21. nis E BC. Angulo itaque A BF. D lunari exhibitus ett a qualiS AHSIS LCCLMIHCUS LBC.
  22. Duoderat Faciendum.
  23. PR OPOSLLIO IV.
  24. A duobus xqualibus circulis lunulam describere, cujus ansulus dato
  25. angulo existat aequalis.
  26. Sic dacusangulus A. OpOr.
  27. cer describere lunulam, cujus
  28. angulus dato A angulo existar
  29. aequalis.
  30. In circulo (ub B centro de-
  31. Ceripeo, Cumacur circumferen.
  32. tia C ED aequalis amplicudini
  33. duplae anguli A dari, d relidua
  34. DFC secerur bitariam in F, ex
  35. per puncta FC ducatur circu-
  36. lus delcripro jam circulo x-
  37. qualis. Dicotactum ese quod
  38. oporruir. Lunulam enim esse
  39. deleripeam, cujus angulus
  40. EFC Ac daro A angulo e qua
  41. lis. Recta enim FG tangaF Cir-
  42. culum secundum in F, sCCanS
  43. primum cum in F, cum in C
  44. _ subrendatur FC. Circum-
  45. Ferenria iOIr FC (CNFD CiF-
  46. cumferentix G. C eA aequalis, urraris enim detinie amplirudinem duplam anguli rectili-
  47. nei CFC. Ouare circumferencia C D F est circumferenLA C F D aequalis. Ip La aurEM
  48. G F. F est amplieudo dupla anguli sectionis P. P C. continuati angulo corniculari ejuldem
  49. circuli, vel aequalis. Angulus vero sectionis F FC comtinuacus angulo corniculari CFC, est
  50. ipse anoulus lunaris. Lunaris ipitur anguli F. FC amplicudo dupla aequalis est circumferen-
  51. TiX CDE, id est CFD; impla dimidia C F. D, id est ansulo A dAC0.
  52. lraque Factum est quod oporruit.
  53. PROPOSTTTO V.
  54. Anguli lunulae a duobus circulis xqualibus deleripea, detititte aipi
  55. cudinem.
  56. Duo aequales circuli unus ABCD,
  57. alcer BFD describane lunulam
  58. ABED. Oportet anguLILUnaTISABFD
  59. detinire amplicudinem.
  60. Circulum BE D rangat recta in B.
  61. secans primum circulum cum in B.
  62. cum in P. Dico CirCumFerenLIAM F AB
  63. aequalem esse duxlae amplicudini an-
  64. Suli lunaris ABFD, Angulus enim lu-
  65. naris componitur angulo sectionis
  66. ABF, de angulo cornicalari F BF D;
  67. qui quidem angulus cornicularis
  68. FBED aequalis est angulo corniculari
  69. quem cAticeret tangens ipsum circu-
  70. dum ABCD: cum sinc circuli ABCD.
  71. B E D aequales. Sed anguli sectionis
  72. FB A, concinvari angulo corniculari
  73. 30

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 383. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0389?run=74