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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 104

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: 0.91.

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The machine reads it as

  1. 107
  2. DE RECOGHEZEONE
  3. bus: F B in A quad., aequabitur B in D in A. Sed ex iis quXPFOPOnuNErin D-
  4. aequatur A. Ouare ea incerprecatione adscira ad exprimendum valorem solidi B in
  5. in A: A cubus. = B in Aquad., aequabirur B in D quad. - D in A quad. de adhibica col
  6. Erua meracheli. A cubus + B F D in a quad, aequabitur B in D quad. ur est ordinarum.
  7. Si = Q + 16 N, aequatur 80. facto ex 16 in 5. 1C. + 21 9; aequabitur 400.
  8. Y H E O R E N A V.
  9. E A quad. = B in A, Squetur B in D. B - D in A quad. = A cubo, X qua
  10. Nec dissimilis est ab ea quae in anrecedente Theoremate expolira est demonstratio.
  11. Si +9 = 16 N, aquetur 60. facto ex 16 in 5. 21 O = 1 C, aequabitur 400.
  12. T A E O R E M A VI.
  13. EFB in A = A quact. aequetuT B in D. S = Din A quad. = A cubO, _ qud
  14. Nec dissimilis est ab ea quae in quarro hujus capiris FheOremate exposica est demon
  15. Arario.
  16. SigN = + 9, aguerar 18. facto ex 9 in 2. 7Q = LC, aquabitur 36.
  17. C A P V X ZV.
  18. ambisuitates radicum, quarum pocestates dehomoceneis adfectionum
  19. in adae quationibus necantur, demonstratae.
  20. T H E O R E NE A.
  21. Scendendum est quum in xquationibus porestates de homogeneis al
  22. Fectionumnegantur, radices elle ancipites.
  23. Proponarur differentia inter B ec A esse aqualis S: _ siC B major quam S. aur igitur C
  24. cessus estpenes B, vel penes A. Primo calu, B = A aequetuES: itaque B =S AE A. Secu
  25. Aocalu A = B aequetur S: iraque B + S Fr A. Ouoniam aurem primo casuB -- A equ
  26. S, urraque pars aequalicaris ducacur quadrarice, isirur B quad. = B in A2 F A quad, 29
  27. birur S quad. e xequalicare ordinara, B in A2 - A quad, x quale Ar B quad. -59
  28. Ouoniam vero secundo catu, A = B aquarur S, urraque pais aequaliraris ducatur quact
  29. rice, igicur B quad. = B in A2. F A quad. aequabitur S quad. de xequalirare ordinata,
  30. A2 = A quad. rursus aequale AE, B9. - S9. Veroque ixitur casu in candem incien
  31. aequarionis Formulam: est aurem radix duplex; ipsa vero Formula aquarionis est, ut P
  32. num sub larere, ad Aciatur mulea quadeati.
  33. Sit B. 6, 54. AIN. 1ZN = + 9, aquatur 20. e fit L N. 6 - 4 vel + 4.
  34. Ouam amphiboliam in omnibus similibus equarionibus locum habere Caris ince
  35. BituE, UE II pFOPOnatIT D in A - A quad, aequari Z plano: ip (a D dicerur eAeB2, et L P
  36. num eseB quad. - 5. quad.
  37. POrrO, per sextum Theorema ancecedentis capiris, apparer ab ea quadrari ambih
  38. aequatione, derirari cubos negatos de solidis sub paradico gradu, de perterrium, lex
  39. ecnonum capiris duo decimi, ab eadem derivari quadraco. quadraca negata de pluct
  40. plaris sub paro dico gradu, quod ad ulrerioris ordinis aequariones posle extendilact
  41. manifectum.
  42. C APVI LV
  43. De Syncrist.
  44. bitur B in D quad.
  45. bicur B in D quad.
  46. hendendum carum constitutionem collatio.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 104. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0120?run=74