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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 269

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: 0.81.

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

The machine reads it as

  1. exeneiae
  2. mecta
  3. m, vel
  4. 23jo1e
  5. um ME
  6. um.
  7. nedi
  8. diattl
  9. reg
  10. deat
  11. st
  12. oeoest
  13. Aae
  14. C6,
  15. inu54
  16. EpCOP
  17. Peet
  18. DSFVDO-HTE SOE A BYM.
  19. PrOPONAnEUE quaMOTrECtX CAC in continua proportione, ex quarum extremis compo-
  20. sica elt Z, ex mediis X. Oporret distinguere medias _ exrremas. Ac vero dato circulo
  21. Kcinscripea, Cec a diamerro ica secare inscripram, ur segmenra in (CxipEX HMLM COIKMA
  22. PEOPOTEIORE InFEK MUTUa LL SMCMCA Mametri. Ouare cenro A, incerrallo AB Xe quali a-
  23. 26
  24. EA lecer circulum in F, C. BC vero in II. ErBOpeF Ca quae oltenla sunc, es uc FLL 20
  25. DROTOSTETO XVITI.
  26. Data differentia mediaru, e differentia extremarum in serie proxo-
  27. IEa qUatuOF rectatum continue proportionalium, invenire continuepro.
  28. Portionales. Oportet aurem difterentiam extremarum majorem esse cri-
  29. PEOPOHANEUE QUAEHIOEReCTR
  30. esse in continua proportione.
  31. quarum exrremae differane per
  32. L, medix per X. Oportet in-
  33. venire sre medias, sive extre-
  34. mas. AEvero ad angulum quem-
  35. cumque inscriprae d diamerri,
  36. exhibere licet mutua carum le-
  37. omenea in conrinua proporcio.
  38. nC. Triavouli aurem rectangu
  39. li, cujus hyporenusa est equalis
  40. differenrixe extremarum, per-
  41. pendiculum differentia media-
  42. rum, balis subrenditur angulo
  43. aequali ei qui Ac in sectione
  44. diamerri de inscriprae. Ouare
  45. constieuatur eriangulum rectan-
  46. gulum ABC cujus hypOrenLa
  47. ABCC dimidia Z aequalis, per-
  48. pendiculum vero BC dimidia
  49. CK 2
  50. X X qu a-
  51. BC ipli X. Ouare factum est quot oporcuic.
  52. midiae Z deseribacur circulus, cuiinceribatur BC aequalis daca. X. EC agacur diameres
  53. CAD. Ex in junCta BD de COnEinUatA, POnAtUT AF composica ex AB, BC aqualis. et
  54. AIB, ita HIB adHIC, _ ita FI C ad HG. Est aurem FG aequalis ip (Z ex constructione, de
  55. ela differentia melliarum.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 269. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0275?run=74