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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 154

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: 0.90.

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The machine reads it as

  1. 154
  2. DF EM E E D A PTO NP
  3. Ononiam enim veranis+ vertani est ip(a A de qua quaerieur. Ideo exiis guX pFOPO-
  4. BUNEF~ B olanoplano ptani 27. F V B plano plano plavi 81. +. a B plano ptano. plavi 21, + V B plano plano. planit.
  5. W B elno vino vlani 27, = v Bplano. pluo. plani3;, Xquatur a B plano. plano. plani 2. Ouod quidem
  6. ita se habet, subducendo in prima a qualicatis parre ab aequalibus aequalia.
  7. 2C- 6N, aequatur4. Isitur a 3 + 2. fit LV.
  8. F H P OR E M A XI.
  9. S1Bplan. 3 in A = A cubo, aequetur V Bplano. plano. planii 2. v a vtem3 - vB ot. 1.
  10. Hc A de quaquaeritur.
  11. Ve apparer, insequendo restigia anrecedentis demonstrationis.
  12. 6N - 1 C, aequatur 4. IGituT V 3 - 1. fit L N, eaque minor, altera est 2.
  13. C A P Y F X.
  14. Similium reductionum continuario.
  15. Y H B O R E ut A 1.
  16. ; A BuS -+ B in R quadr. 3 -t. D plano in R, Xquetur B cubo2 =L
  17. DolanoMB. A quad. = F B in A2, aequabitur B quad. 2 = D plano.
  18. Ouoniam enim A quadr. F B in A2, aequatur B quadr. 2 =D plano. Ductis ioiruE
  19. omnibus in A. A CuDAS F. B in A quad. 2, aequabitur B quad. in A 2 = D plano in A.
  20. Eriildem ductis in B. B in A quad. = B quadc. in A2, aequabitur B cubO2 --D plano
  21. in B. lungacur ducta aequalia aequalibus. Acubus Y B in A quad. 3. F Bquad. in A2,
  22. aequabicur B quad. in A 2 - D plano in A + BcubO2 - D plano in B.
  23. Et deleta urrinque adfectione Bquad. in A2, & ad aequalicaris ordinarionem, cransta-
  24. caperancicheln D plani in A adfectione. A cubus -, B in Aquadr. 3. + D plano in A,
  25. aequabirur B cubo2- D plano in B. Quod quidem ita se haber.
  26. 2C + 308 + 44 N, aquatur 1560. Isiturr C + 20N, aquabitur 156. es fit 1 N 6.
  27. TH E OR E M A II.
  28. SF A cribus- + B in A quad. 3 = D plano in A, a quetur B cubo2 -+ D planO
  29. in B. A quad. -+ B in A 2, aequabitur B quad. 2 + D planO.
  30. Ouoniam enim A quadr. F B in A2, ae quatur B quadr. 2. F D plano. Ductis igicur
  31. omnibus in A. A cubus F B in A quad. 2, aquabicur B quad. in A2 ] D plano in A.
  32. Er ductis iildem in B. B in A quad. Y B quad. in A2, X quabicur B cubo2 + D pla
  33. no in B. lunsaneur ducta aequalia equalibus. A cubus F B in A quadr. 3 +. B quadc. in
  34. A2, aequabitur B quad. in A2 L D plano in A F B cubO2 f D plano in B.
  35. Ec delera urrinque affectione B quadrari in A2, d ad ordinationem aegualicatis, cran
  36. lata perancirhe lin D plani in A adfectione. A cubus = B in A quadr. 3-- D plano in A,
  37. aequabirur B cubo2. Y D plano in B. Ouod quidem ira sc haber.
  38. 1C 1. 309 - 24 N, aquetur 2240. Igitur 1O. F. 20 N, aquaFur 224. e5 fit I N 8.
  39. T H E O R EM A ITI.
  40. SFAcubus =B in LLGuad. 3- + D plano in A, xquetur D plano m B-
  41. cubo2. FcsicB quac. 3 majus D plano. B in A2 = A quadi. aequabitut
  42. in B = A. DGllad. in A2 - BIB s G. =B in Aquad. 2 F A cubo2, aequabitur B quad.
  43. Ecordinara aequalicace A cubus - B in A quad. 3. F D plano in A, aequabitur D plane
  44. in B = B cnb02. Quodquidemira se habet.
  45. Oplano = B quad. 2.
  46. Duoniam enim B in A2 = A quad., d GtaCu D PIaHOB quad. 2. Duetis omnibus
  47. in A2 = D planoin A- L D plano in B = B cubo2.
  48. ile
  49. el

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 154. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0160?run=74