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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 321

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. entiae aqu
  2. 50c
  3. 1
  4. X.
  5. ust
  6. bas eiret
  7. e
  8. ibin
  9. ol
  10. R E S P O N 5 V M.
  11. n ebba eL
  12. releriam
  13. 43729, 635, 533,296
  14. 100,000,000,000,000
  15. 153,208, 888,623,795
  16. 100,000,000,000,000
  17. T E E OR E M A FFON II.
  18. Xquadr. - quadr. in F. 5 = X quadr. in F. cub. 5 - + E quadr.. cubo, aequarur X
  19. quad. - quad. in B. F.F sic rriplex. J. Sinus duplus anguli subquintupli. ij. Sinus du-
  20. pus differentia inter anculum subguintuplum ex quintam parrem duorum re-
  21. orum. iti. Sinus duplus anguli composiri exangulo sub. quintuplo, es quinta par.
  22. e quaruor rectorum. N eque enim compositus ille rectum excedit.
  23. +-
  24. SC. +OC, aquetur 1. Ononiam posito r simu TotO, fit L Sinus duplus aneuli partium XXX.
  25. eo 2N est sinus duplus aneuli parcium VI. vel sinus duplus an eulI ParEIUM XXX. Vet eriam sinus du-
  26. Plus anguli parrium LXXPIII.
  27. Pricigicur 2 N radix trinomia 2 - v 3 - radise binomia ? 3. + V 3
  28. set
  29. Veleriam radix erinomia Z = N 28 = radicebinomia 23 - v 33.
  30. N = 5C + 1OC, aquetur 18, aen. oub. 615, 13r.. Ouoniam posito X sinu toto, darum homogeneum
  31. ropositae aequalicaris fit sinus duplus anguli parerum XX. Ideo L N est sinuo duplus aneuli parsium LV.
  32. 60, 00c
  33. Vel sinus duplus anguli partium XXXII.
  34. Vel eriam sinus duplus anguli parcium LXXVI.
  35. Pritigieur LN
  36. Te
  37. ret eriam
  38. 13,951, 294 748, 825
  39. 100,000,000,000,000
  40. 105, 983, 852,846,6 4+
  41. 100,000,000,000,000
  42. 194, 059, 145, 255, 209
  43. 100,000,000,000,000
  44. THEOR EM ATTON TII.
  45. X cubo. cubus in E7 = X quad. quad. in F cnb. 74 - + X quadr. in F. quadr.-
  46. Lub. 7 = F. quad. quad. cubo, aquabitur X cubo- cubo in B. Et fit F. quadruplex.
  47. dinus duplus angul subsepcuxli. ii. sinus duplus differeniia inter angulum sub-
  48. cuplum es seprimam parcem duorum rectorum. ii. Sinus duplusaneuli compo-
  49. ex subsexcuplo ex seprima parse quaruor rectorum. iiii. Sinus duplus aneuli
  50. ompositi ex differencia praedicta es sexsima quoque parce quatuor rectorum.
  51. 14C. + 7 OC = + OQ C, aquetur r. Ouoniam posito Sinueoro, fit L sinus duplus angu
  52. Parcium XX X. Ideo 1 N est sinus duplus aneuli parcium 1V, cum duabus sexermis parcis unius. Vet
  53. Mnus dupius aeuli parcium J. Al, Cam iribus sexrimis. rel sinus dupius aneuli parcium LV. cum quin-
  54. seprimis. Vel denique angult partium L. XXII, una sum sex septimis pariis uniuls.
  55. Asi 7 N = 14 C + 7OC - , ODC. aquecur 2. Ouoniam 2 est sinus duplus aneuli recti, fit 1N
  56. seprimis.
  57. anculi parcium XU, cum sex sepcimis. Pe sinus dupus anBuII ParEIU LXLY, cum duabus
  58. 44504 18680
  59. 10000000DO Lacus tessera decagoni
  60. 8019377358
  61. 10000000000. Recta cujus quadraum quadrato lateris hepraeoni ad-
  62. unctum, aequatur quadrato diametri.
  63. simus dup
  64. Erit ixitur 1P
  65. Vel eriam

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 321. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0327?run=74