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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 155

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: 0.83.

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

The machine reads it as

  1. rOpO.
  2. plariu
  3. videm
  4. 3et
  5. 5
  6. A
  7. it
  8. nA2
  9. eAB
  10. ist
  11. onib
  12. B4
  13. LL OV A Z EO N V M.
  14. 1C. - 309 + 236N, aquetur 360. BituT ZON = + 9, aquatuT 36, ex fit L N Z vel 18.
  15. Tildem posiris, ipla AHc quoque B, sire B criplum quadratum praestec, sive cedat D
  16. plano. Duoniam enim proponieur Acubus = B in A quadr. 3 F D planoin A, aequari
  17. Dplano in B =B cubo 2. Ip la aurem LL I quoque B, isicur B cubus = B cubo3 + D pl 2-
  18. +C = 309. + 236 N, aequatur 360. es osten sa est + N 2 vel 18. eadem quoque est 10. ZC. -3
  19. 2 = 264 N, aequarur 640. fic 2 N 4 Vl 16. Nam 2ON - 1 9, aequacur 64. es fit 1 N 4 vel 16.
  20. IE OR E M A. IV.
  21. F DI A quadr. 3 - + D pldno in A = A cubo, aequecur B cubo 2- + D
  22. PlaoinB, A quad. = B _ A2, aquabitur B quad. 2 + D planO.
  23. Ouoniam enim A quad. = B in A L, aequarur B quad. 2 F D plano. Ductis omnibus
  24. in B = A. B in A quad. - B quadr. A2 = A cubo F B in A quad. 2, a quabIEEB CU-
  25. Er aequalicare ordinata, B in A quad. 3. + D plano in A = A cubo, aequabirue B cubO2
  26. 30B -+ 24N - + C, aequatur 2240. TgiturY O = 2O N, aquaTur 224. e fILL N28.
  27. TiEdem expolitis, Ac A quoque D. Ouoniam enim proponitmr B in A quad. 3- F D pla-
  28. noin A - Xcubo; aquari B cubo2- F D plano in B. Iplaaurem A GE quoque B, igituE
  29. B cubusz F D plaHOM B =B cabo, aequabitur B cubo 2 = F D plano in B. Ouod qui-
  30. demica se habet.
  31. T H EO R EME A V.
  32. FBM A quadr. 3 = D plano in A = A cubo, aquetur BcubO2 =D pla.
  33. nonIB. A Guall. D A2, aequabicur B quact. 2 = D plano.
  34. Odomiam enim A quad. BH R2, aequarur B quad. 2 = D plano. Ductis omnibusin
  35. B - A. B in A quad. = B guacr. in A2 = A cubo- + B in A quad. 2, ae qua bitur B cubO2
  36. ECaequalicate ordinata. B in A quad. 3 - D plano in A = A cubo, xquabicur B cubo2
  37. 309 - 156N - 1 C, aequacur 440. JBiturZ O = 2ON, aequabitur 44. ex fit LN 22.
  38. Duoniam enim proxonicur BIH A quadc. 3 -- D plano in A - A cubo, aguari B Cu-
  39. b02 =D plano in B. Ipla autem A sic quoque B, igirur B cabusz =- D plano in B - B
  40. elbo, aequabicur B cubo 2 = D plano in B. Ouod quidem ica sc habet.
  41. T E E O R E N A VI.
  42. Ad quadrato. quadraticam perrinens.
  43. Sta quad. - quad. = X I A CMDuM 2 -+ Z cuboin A+, Xguetur Z quad.
  44. Quac. 2. X quad. in A Gua. 2 = A quadr.- quadr., a quabitur L quadr.
  45. Duoniam enim Z qua d. in A Guad. 2 - Aquad. quad., aequacur X quad. - quad. 4 - 7
  46. Cabo2 in a X quad. 3: er80 perancichesin, ee ad X cubum 2 communem adplicationem.
  47. uadr. = X arac. 2 x quabicur V X quacl. 3.
  48. Ecomnibus quadrais, et per Z cHb0. cubum 4 ductis, adhibitaqi congruenter metachicti
  49. Xcubo. cubus in A quad. 16 - X quade. in A cubo. cubum 4 = A quad. - quad. quad.
  50. Juad. - Z qua d. - quad. in A quad. quad. 12, aequabicur X quad. . quad. - quad. - quad. 4.
  51. Quod quidem ica se habet: enimrero secundum primam aequarionem. Xcubus in A. +
  52. =X1
  53. no in B, aequabimr D planoin B = Bcubo2. Ouod quidem ica (e habet.
  54. b02 -1. B inD planum = D G_ad. in A2 = D plano in A
  55. F D plano in B. Ouod quidem ira sc habet.
  56. 300 - F 24N = 2C, aquatur 22 40. fit L N 10.
  57. D plano in B = B quad. in A2 - F D plano in A.
  58. Tisdem postis, AE A quoque D.
  59. =D plano in B. Ouod quidem ita sc habet.
  60. 308 - 156N -. 1 Ci, aquarur 440. fit 1 N10.
  61. Quad. 4 =- Z cubo2in V X quad. 3.
  62. puacen

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 155. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0161?run=74