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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 137

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: 0.85.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. divi
  2. patio.
  3. iea Ut
  4. 5di
  5. ad. 3
  6. 1ad.
  7. qu
  8. 2nO.
  9. ciit
  10. n
  11. Oune
  12. 50
  13. A O V A Y EO N V M.
  14. Clibus- F F quad. cubo, aatur B in A quad. quad. - Z plano. Colido F F quad. - cub0.
  15. Vreaque pars applicerur ad A. F. C. illic Oricur F quad. quad. = A in F. cubum F A quad.
  16. in E quad. = A cubO in E. F A quad. quad. Ouod SiB in A quad. quad. = B in P quad.
  17. Ea quoque commodam divitionem recipiet ab A L F, orieturenim, B in a cubum
  18. Bin A quad. in P. F B in F quad. in A - B in E cubum. AdXGUICTUFErSO, _L CAPFOPECF
  19. uc aequaliras rire ordinetur, F quad. cubus F B in P. quad. quad. Ctaruicor Z. plano. Solido
  20. A = Bin D in A quad. =D quad. In A quad. + B in A cubum + D in A cubum - A
  21. L H E O R E M A LV.
  22. C+B in A quad. quad. = Aquad. cubo, aequetur Z plano- Colido, & F quad.
  23. cubus + B in F quad. quad., aequetur Z plano- (olido. P aurem innOte-
  24. ICaLCACD: B in D quad. + D cubo in A =B in D = D quad. in A quacl. L BF D in A cuDUM
  25. A quad. quad, aquabicur B in D cubum f D quad. quadrato.
  26. 2TOO =L OC, aqueTUT 1O0OO. TPIEUr LIOO -= 1OC, aquabitur 10000. C fit LN 5.
  27. Ouare 400N = 809 + 16C - 100, aequabieur 2000. x ista LN. est radixprimum quaesita,
  28. ex sit 1C
  29. Vurpatur quoque anastrophe contraria interdum ria, ut quum in xqua-
  30. tionc ambioua, continsicunam radicum dari e duabus pluributre, de qui-
  31. bus aequatio porest explicari: repetuntur anactrophes restisia ad aslequen.
  32. dum radicem correlate, rariaque Auune inde _ Ordinantur FheOrCMata,
  33. qualia lunein cubis.
  34. T H E OR E M A V.
  35. Acubus =Bplano in A, aquetur Z Colido, _ rursus B p lan. in F = F
  36. cubo, aequetur Z Coldo. Innorelcat aurem F esse D: A quad. - D in A,
  37. requabitur Bplano D quadrato.
  38. Ouoniam enim A cabus =B plano in A, aquatur Z Colido. EC rurtus B planum in D
  39. D cubo, aequatur Z Colido. Ergo A cubus =B plano in A, ~quabitur B plano in D -
  40. DcubO, _Eper niccatheEn A cubuS. + D cubo, aequabimr B plano in A F B plano in D.
  41. Vecaque parsaequarionis dividicor per A. F D, Ec Aquad. F D quad: - D in A, aqualc
  42. B plano.
  43. Oua aequatione secundum arrem concepta, A quad. -D in A, equacur B plano D
  44. quad. Vrest ordinatum.
  45. Si1C- 8 N, aequetur 7.
  46. Teitur 8N = rC, aequabitur 7. es quoniam LN pocest esse r.
  47. 1O = 1 N, aequabitur7. unde radix primum quaesita fit ~ 22 + =
  48. Y A E O R E N A VI.
  49. S=BI Aquad. = A cubo, aquetur Z. Colido, _rursuS B in F quad. = F.
  50. cubo, equetuE Z WMO. Innotelcatautem P CNCD: A quad. - F B- D in A,
  51. Duomam enim B in Aquad. F A cubo, aquatur Z. Colido, de rursus B in D quad. -D
  52. DCubus F A cubO, XGuABHHT BLI Bgund. = A quad. veraque pars aequarionis dividi-
  53. COr per D L A, SED quad. F A Guact. - Din A, aquale B in D - a. qua aequatione secun-
  54. Aum arceM concepta, A quad. F B- D in A, aequabirur B in D-- D quad. Vi est ordinacum.
  55. S190 F 1C, aquecur 8. 1enr 9O = 1C, aequabieur 8. ex quoniam 1N potest esse 1. 12 +
  56. Ouibus
  57. Quad.3 aguetur alteri parri
  58. aequale, de F innorescar eNe D. Landem isicur, D quad. - quad. - D cubo in A ] D quad.
  59. in A quad. -D in A cubo. f. A quad. quad, ae quarur B in A cubum = B in A quad. in D f
  60. B in D quad. in A - B in D cubum, ec omnia ordinando, B in D quad. in A. , D cubo in
  61. quad. - quad., aeguacur B in D cubum. = D quad. quad.
  62. lraque Facta est anastrophe, Mucpetabatur. FlInC OrdinatuE
  63. aquabseur, B in D= D quadrato.
  64. cubo, aguacur L 1014O.
  65. ErBoB in A quad. 7. A cubo, X quaBIeuE B H D quad. -D cubo, per merathelin
  66. BX, aquacur B. unde ractur primum quaesica sir v 24 - 4.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 137. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0143?run=74