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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 547

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: 0.92.

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The machine reads it as

  1. IN NYOZ AS PR EORES
  2. Pag: 25. inirio geneleos cubi adFecti ad trmare sub quadraro.
  3. Pauls aurem post. Sic lacus unum A, alcerum B, coefticiens subquadrarica lonoirudoD
  4. Dico A cubum, F A quadr. in B3, + A in B quad. 3, + BcHbO, + A quad. in D, +
  5. A in B in D2, = B quad: in D, aequari A. I B cabo, = D in A F B quadFACUM. EX OpC.
  6. re mulciplicarionis A quad. F A in B2, F. B quad per A + B + D.
  7. Alivd F E E O R E M A.
  8. Si ab eadem binomia radice componantur duo cubi, unus purus, alcer adErmate ad:
  9. Fectus, sub iplius radicis quadraro ex adscit à coefticience longirudine: Singularia Colida,
  10. quae compolicio adfecta addie compolitioni purx, lunE
  11. Solidum a quadraro laceris primi in coefficientem longirudinem.
  12. Solidum à lacere secundo in duplum planum, quod Ec 2 larere primo in coefticieri-
  13. rem longirudinem.
  14. Solidum à quadraro lateris secundi in coefficienrem longicudinem. Ex collatione
  15. urriusque suppolcionis.
  16. Deinde oeneleos quadraco-quadeari adfecti ad Ermare sub latere.
  17. Denique. Sic lacus unum A, alcerum B, coësticiens sublacerale solidum D. Dico A
  18. quad. - quad. Y A cubo in B 4, F. A quad in B quad. 6. + A in B cubum 4, I B quad-.
  19. quad. - +. A in D Colid., + B in D Colidum, aequari A + B quadc. - quadr, + D Colid. in
  20. A F B. Ex opere mulciplicarionis A cubi, + A quade, in B3, +. A in B quadr. 3, + B
  21. ciibo, + D Colido, per A. = B.
  22. PaG. 26. post Theorema. Geneleos plano. plani adfecti cubo adFrmare.
  23. ibidem. Sir lacus unum A, alterum B, coëtticiens longicudo D. Dico A quad. quad.
  24. = A cvbo in B 4, F A quad. in B quadr. 6, -= A in B cubum 4, F B quad, - quad., + A
  25. cubo in D, + A quad. in B in D 3, +. A in B quad. in D3, F B cubo in D, aequari A + B
  26. quad. - quad., Y D in A + B cubum. Ex opere mulciplicarionis A cubi, 1 A quadr. in
  27. B3, - A in B Guad. 3, F B cubo, Pet A F B + D.
  28. ALiHd Y H E O R F M A.
  29. Si ab eadem binomia radice componaneur duo quadraco- quadeata, unum pure, alce-
  30. rum adfectum adjunctione plano. plani. sub ipsius radicis cubo e ad Ecira coesticience
  31. Ponsicudine. Singularia plano. plana quae compolicio adfecta ad die compolicioni pu-
  32. Pae CUNE
  33. Plano. planum à laceris primi cubo in coefticientem longimdinem.
  34. Plano. planum a quadraro lareris primi in criplum planum, quod Ac ex latere se-
  35. cundo in coesticientem longicudinem.
  36. Plano. planum à lacere primo in eriplum Colidum, quod sr ex quadrato laceris (c-
  37. cundi in coesticiencem longicudinem.
  38. Plano. pranum a elibo laceris secundi in coefficientem longicudinem. Ex collario-
  39. Purum.
  40. Adfectum.
  41. A quadracum in B quadratum 6.
  42. A quadeaco: quadrarum.
  43. A cubus in B 4.
  44. A in B cubum 4.
  45. B quadraco quadracum.
  46. ne ulttusc luppolicionis.
  47. A euadraro. quadracum.
  48. A cubus in B4.
  49. A quadrarum in B quadrarum 6.
  50. AB cubum 4.
  51. B quadraco quadracum.
  52. A cubus inD.
  53. II A quadearum in B in D 3.
  54. TIT A in B quadrarum in D 3.
  55. IV Bcubusin D.
  56. Ex opere mulciplicatioviS Acubi, + A quadc. in B3, + A in B quadr. 3, - F B cubo,
  57. Apposurmus deurque sit bau sinem pa s. 40 es 41, alas figurai e reeione sibi resp ondtes. Sua
  58. autem
  59. tet A + B + D.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 547. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0555?run=74