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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 344

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: 0.75.

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

The machine reads it as

  1. 0
  2. L
  3. c
  4. v
  5. parallelx exHne CB, IK aequales, ac aquales F:B, IHI, ex ideo KTadFIId es CBad EB,
  6. erunc in ratioe daca S ad R ex constructione. Ouod sisese commitrane, commistur
  7. ecto in L, erir lgiturur L. C ad L.K, ita L F ad LH, _ ica LB ad LI, d dividendo et pern
  8. cando ericKLad FII, sicur CB ad EB, id est sicur S ad R. Onemadmodum oxorrebat.
  9. Sic licer datis RHL, EIIuna cum peripheriis BC, CD, BD invenire peripheriam BC.
  10. arque adeo EpocHASa limiribus, ac iplam diamerrum F.C in parcibus iplorum RFI, EI
  11. Construacur enim criangulum BDC, cricisitur illud dacorum angulorum proprer datas
  12. peripherias, d ideo dacorum quoque lacerum in parcibus diamerri FC. Ouare langu
  13. lum E. BD daca in iildem partibus habebir lacera F. B, BD, una cum angulo FBV. L180 da
  14. bitur angulus FDB ICUVBM, gu abtacus e peripheria BMD, relitquer peripheriam
  15. 44
  16. BM, quae dupla est ipsus B6.
  17. R OB L E M A II
  18. Dato circulo, de duobus punctis in ejus circumferentia lignatis, invet
  19. cum diamet ab cxie dato aqualc.
  20. diametrum, in quam, cum demicrentur a datis punctis normales, segmen-
  21. In daro circulo BC, cujus A Cemrum, loata luneo duo puncta B, C. Oporteenvenire
  22. diamerrum, in quamm, cum demicteneur a signis B, Cnormales, segmentum dVaLCCIS
  23. pormalibus meceptum sic xquale Z daca. Subcendatur peripheria BC, e tiat lecta
  24. diamerer circuli, cuiinseribatur CD aequalisip sI Z. PCF CEnETM aureM A AGaTUFL. F dia
  25. meter circuli BC, ipli DC parallela. Cum isitur connecterur BD her angulus B l
  26. Aus. EEquoniam F. F, DC suncparallelx, secabit BD ip lam F F ad angulos rectos. Seca
  27. in IE, X ip (i BK agarur parallela CI, eruntixitur CD. K l aequales. Daroigitur circulo-
  28. et signacis in ejus circumterencia duobuspunctis B. C, inventa es diamerer F. F, 1 Eu
  29. demistisnormalicer BK, CL, sc H L aequale scgmenrum iph CD, id est Z. daco. Ouodetu
  30. Faciendum.
  31. Sic licet dato aderecaro peripheriarum; es adereeato simuum, qui ad eas perit
  32. nent, peripherias ee sinus distincuere.
  33. Si quidem Aconsictac inera (IgnA R, I. Vel,
  34. Data differentia peripheriarum. ex differentia sinuum, qui ad eas persiment;
  35. peripherias ex sinus distinguere.
  36. Si quidem Ksignum consistatinra signa A, I.
  37. D R O B L E M a IV
  38. Oalohecio, Lsnatis in ells cucumtereneia cribus puncls, inreni
  39. punctum, a quo, cum ducentur tres linex rectae ad signata puncta, inclilla
  40. buntur ex ad angulos datos.
  41. +
  42. epu
  43. dta
  44. Rertur
  45. ienum
  46. e ic
  47. ulo.
  48. Ie
  49. que ar
  50. dx
  51. dee
  52. luet
  53. Acirei
  54. eo a
  55. Bulu
  56. Die
  57. ule
  58. lor
  59. a
  60. Sulu
  61. Arr
  62. O2
  63. est
  64. N
  65. de
  66. re
  67. 60

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 344. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0350?run=74