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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 345

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: 0.84.

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

The machine reads it as

  1. test CBa0
  2. COMMI
  3. 1do et pe
  4. porceba
  5. ips
  6. eUM
  7. pr
  8. Duacerid
  9. BD. Es
  10. C peripl
  11. 2tis, inVEtI
  12. C5, le8
  13. Orcet invel
  14. nima
  15. e Hacre
  16. e
  17. ulu5D
  18. recto
  19. TFI
  20. c0.
  21. iadet
  22. es
  23. 9b
  24. H5,
  25. ita
  26. In daro circulo, cujus ACenErUM, Signara sunEO eria punCta B, C, D. Oportet inve-
  27. nire punctum, a quo acta ad B cum acta ad C taciat angulum aequalem daro ansuloC.
  28. acta vero ad C cum acta ad D angulum xequalem daro ango 8. ucls bC, CDIhcl.
  29. nentur CB, BE ad angulos rectos, _C BIEF.
  30. lignum in peripheria. connectendoigitur
  31. DE inclinabuneur quoque CD, DE ad an.
  32. Suios rectOS. Sumatur aurem angulus
  33. BC Exqualis complemento anguli 5, ica-
  34. que C F InEeESCCeE BE in P. Sumatur quo-
  35. que angulus DCG aequalis complemento
  36. anguliae, ip laque CO incercipiae DE in C.
  37. Porro in actam CF eadat normalirer CI.
  38. Ajo lesse punctum quaesirum a quo cum
  39. ducentur LB, IC, ID, crir angulus CIB an-
  40. SuloE aequalis, anoulus vero CID angulo
  41. D. Ouomam enim anguli CBF, CIF COn
  42. Aructi sunc recti, ideo puncta CBIF CrUNE
  43. in circulo, cujus diameter CF. Iraque an-
  44. gulo CFB anoulus eIB erir aequalis, et
  45. ideo angulo C, cujus complementum est
  46. angulus BCF ex constructione. A que
  47. quonia anguli CDG, CIO constructi lunE
  48. recti, ideo puncta C, D, C, Terune in ciccu-
  49. lo, cujus diameter CG. Icag; anoulo CGD
  50. angulus CID erit aequalis, et ideo angulo p, cujus complementum ett as et
  51. constructione. Duare Factum est quod oportebat.
  52. P R O BL P M A 1.
  53. Dato criangulo, invenire punctum, à quo ad apices daci ertansu dell
  54. creslinex rectae iperatam teneanE rationeM.
  55. Sic darum criangulum
  56. ABC. Oporret invenire
  57. punctum, a quo actae ad A,
  58. C apices dari rrianguli
  59. tres linea rectae imperatam
  60. tEnCRNE FaLIONeM, UEpOTC
  61. acta ad A ad actam quidem
  62. ad B cenear rarionem S ad
  63. e ad actam verond C re-
  64. Deac rationem S adR.
  65. Sic jam Factum, ec sicil-
  66. lud punctum E, itaquC F. A
  67. se habeco ad FB quidem (-
  68. cueSad O, 2d FC verOH-
  69. cur S adR. Cum ioitur seca-
  70. BiEnE AB in F aE SiC AF ad
  71. ad FB, SCUTE A ad EB, id est
  72. Sad O, _ COnReCtCMEEF
  73. sectus eric bifariam angulus
  74. AEB. ICaque cUM in E. ACU-
  75. METUE F. C ipSI FB aequalis,
  76. et connectetur BG, lecabi-
  77. cur BO bitariam, et ad anou-
  78. lO5 rectosa rectAEF. SccC-
  79. rur in HH, de connectatur FC.
  80. HBOFC, FB erunc _ qua le5.
  81. uC.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 345. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0351?run=74