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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 136

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. 136
  2. DE F M E N D A F FON
  3. Consequenter oporret Colidum adFectum adjunctione cubi reducere: omnia divi-
  4. dancur per A- L L. IBicuE, A quad. = F in A + F quad, aequabitur B in A = F.
  5. Innorescar aurem P. esse D ex analysi, atque adeo ordinetur quadrarica aequario.
  6. Ergo B in A + D in A - A quad., aequabitur D quad. - L B in D
  7. Aguario igitur inverle negara, in adtirmaram eju ldem ordinis cransmurata est, ica uE
  8. data radice nove aequarionis, sac irregularis descenlus, in depresiorem, quod opus di-
  9. cirur anastrophe, dc Faciendum erar. Einc ordinatur
  10. I A E O R E M a II.
  11. TB in A quad. = A CuBO, aeguetuE Z TOlido, _ P cubus i- B in F quad.
  12. aequetur Z Colido. P. autem innotelcat eNe D. D + B in A = A quad.
  13. aequabitur B in D L D quad.
  14. 7O- 1C, aequatur 36. igitur 7 Q F L C, aequatur 36. e fit hic FN 2. quare 9 N = + 9, aqua-
  15. bitur 18. es ista LN, est radixprimum quasita, e fit 3 vel 6.
  16. Sccundo ad anastrophen quadrato: cubicarum.
  17. P R O B L E, M A ITI.
  18. DRoxOnatuE B plano. planum in A - A quadrato. cubo, xquari Z plano-
  19. ABF -- A estingatur quadearo quadrarum, singularia cAi ct a plano plana simpliciter
  20. Cumpra nec reperica, erunc F quad. quad. - A in E cubum i A quad. in F. quad. - a
  21. cubo in F. F A quad. quad. Ducantur in F. F A, Ec F. quad- cubus. F A quad. - cub0.
  22. Ac exiis que proponuntur, A quad. cubus raler B plano planum in A- Z. plan. (0-
  23. lido, quare F. quad.. cubus r A quad.. cubo, aquabirur L. quad. cubo ; B plano. pla-
  24. no in A = L plano. solido.
  25. Veraque pars applicerur ad F. -= A. FX prima igitur sequarionis parre oritur, P. quad.
  26. quad. = A in E cubum + A quad. in F. quad. - A cubo in F. F A quad. quad. ut rario
  27. compolicionis indicat.
  28. Ac quid oriatur ex secunda non liquer: Sed lane comparetur cali plano. solido, ut
  29. Plano- planum orrirum non posticionorari.
  30. Ouare B plano planum in E. F B plano plano in A, aequerur alceriejus paeri, videli-
  31. cer, F. quad.- cubo. + Bplano. plano in A -- Z plano- solido.
  32. Ergo delera urrinque affectione sub Agradu, et Lacta congrua anrirhesi, F. quad. -cu.
  33. bus = B plano- plano in E, equabitur Z plano. Colido.
  34. Ex quum innocelcer E. este D: pronunciabimr D quad. quad. = D cubo in A f D 9.
  35. in A quad. =D in Acabum. F A quad. quad., aequari B plano. plano. de aequalirare le
  36. cundum arrem ordinata. D cubusin A = D quad. in A quad. + D in A cubum - Aquad.
  37. quad. aequari D quad. quad. - B plano. plano.
  38. Facta ettigirur analtrophe sicurimperabatur. Ninc ordinatur
  39. T E E O R E M A III.
  40. CFB plano- planum in A = A quad. - cubo, aequetur Z plano. Colido, _ F
  41. guad. cubus =B plano-plano in F, RGLetUT Z Plano. Colido. P autem in-
  42. ROTesCaL eNCD: D cubus in A = D quad. in A quad. F D in A cubum - A
  43. Quad. quad., Xe quabicur D quad. quad. -B p lano. plano.
  44. A-
  45. Leitur 1OC- 1L N, aequabitur 10. 8 hic fit +N 2.
  46. 4B. + 2C - 1mabitur 5. es ista i N est radix primum quae sita, e fit 1.
  47. PR OBL E M A IV
  48. EPeponatur B in A quall. Suac. = A quad.- cubo, Xquari Z. plano 10-
  49. lido. Oporterrurtus anastrophentacere.
  50. Ergo per congruam merachelin, et F. quadraco. cubi communem adjunctionem A quad.
  51. cubus
  52. Ouare
  53. Tolido. Oportecanaltrophentacere.
  54. lIN- TOC, aequetur 10.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 136. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0142?run=74