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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 143

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: 0.82.

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

The machine reads it as

  1. itact.
  2. 20
  3. (nNO.
  4. d
  5. CTUI
  6. 1
  7. od
  8. DI
  9. 3h1
  10. u
  11. A OY A X FO N Y II.
  12. Proponacur A quad. quad. F BI A cubum 2, aequari Z. plano- plano. Oporret ta-
  13. cere quodimperarum cA. Sane H quadrarum estinencurabs A quad. + B in A = F. pla-
  14. nO =, CHCIIlua A quad. quad. - B in A cubum 2 B quad. in A quad. Y F plan. plan. =
  15. Virique isicur aequationis parri addatur id quod deficic ab effecto d̀ starura radice pla-
  16. na quadcaco, concludecur exitaae qualium aequalibus addicione. A quad. quad. L B in A
  17. B in A, aquari Z plano. plano + B quad. in A quad. + L. plano plano = = F. plano in A
  18. Veeaque pars dividarur sub quadrarice, illic revocata ad analy Ein geneti, orietur ma-
  19. nitecto, A quad. -+ B in A - F planO =
  20. Ouod ( alcera equalicaris pars pollet quoque diridi subquadearice, quod oriretur
  21. Foret aquale radicibusillis planis eprima parre orcivis.
  22. Estingendum estigicur quadearum à radice plana, et illud alceri aequalitaris parri, id est
  23. Z Plano plano una cum luis adfectionibus comparandum ee adaequandum, ut cadices
  24. quoque comparentur e adequencur incer se: Racuicor idcirco radix illa plana ettingendi
  25. quadcaci
  26. NB quacl. - L plauo In A.
  27. Sic enum in comparatione eranelcene adfectiones lub A vel ejus pradibus, ee incide-
  28. cur inaqualicarem de P. quo cendendumeR. ERiCtum igITUE QuAdTATUII CLIC =9. 9. - p. 1.
  29. F B quad in A quad. - F. plano in A quad. = F plano in B in A.
  30. ano. plan
  31. Adequandum Z plano- plano una cum reliquis quae illud comicanur et adfciunt ex-
  32. Polris plano. planis, ee deleris urrinque adfectionibus sub A, ec A qua dC1O. v onu a. evtam. 1.
  33. Ex omnibus ductis in B quad. 4. = F plano 4. E. plano planum in B quad, x quabicur
  34. Z plavo. plano in B quad. 4. + L Plano. plano in B quad. Z. plano. planoin E planum. 4.
  35. Ex deleco urinque F plano plano in B quad, omnibusquerice ordinacis. F. plani cui
  36. bus Y Z plano. plano 4 in E. planum, aquabitur Z plario- plano in B quad. 4.
  37. Innocelcacaucem E planum esse D planum. F.rBO A quad. + B in A - D planO Z, X9u2-
  38. NB quac. D plano in A.
  39. Et aqualicare secundum acEeM OrAIMaTA A quad. + P F an nus. - o vano. in A, aequabitur
  40. EL A proxonacur a quad. quad. = B in A cubum 2, aequari Z plano- plano. R adix
  41. plana estingendi quadraci Aacuecur. s. . - a vum ,. F N B uad. - E ptano in A, COmp 2.
  42. ranca A quac. 1 B in A -= F. plaHO =
  43. EE S proponacue B in A cubum 2 = A quad. quad., aquari Z. plano-
  44. plano. Licebit argumeneari. A quad. quad. = B in A cubum 2, aquari Z
  45. plano plano. Quod eric auterre aequalia ab aequalibus. Er radix plana ettin-
  46. Bendi quadeaci RaEuCTIE. yv gudu Leptuio. = Bguad. L. E plano in A, comparanda B in A
  47. + E plano Z = A quad. Ficiraque omni calure ductio quae imperata est. Finc ordina-
  48. buncur eria reductionis TheorematA.
  49. T H E OR F M A l.
  50. EA quad. quad. + B in A Cubum 2, XguetuE Z plana planO, _ Eplani- cu
  51. bus-Z plano plairo + in LPlanum, a Guecur Z plano- plano in Bquad. 4.
  52. quad. F B. +VvauB. - v otuo IM A, a quabitUT-
  53. B
  54. D qua
  55. E E E O R E M A II
  56. Y D PlaHO 2.
  57. IA quad. quad. = Bin A Cud, alfdletur Z plano. Platio, ee L. planI- Cu-
  58. bus -Zplano- plano + in L platte X quetur Z. plano. plano in B quad. 40
  59. vorrtu oouno
  60. DPlalte 2.
  61. Con
  62. L PlAH. II A quad. = F plan. in Bin A.
  63. cubum 2 F B quad. in A quad. F F. plano. plano Z = F. plano in A quad. - F. plano in
  64. quad. = L plano in B in A.
  65. aquabicur Z plano. plano F F plano. plano .
  66. C plano. plano- planio.
  67. D planO = +
  68. et
  69. uac. a.
  70. bicur
  71. Innoreleat autem F planum esse D planum.
  72. Innocelcac aurem Cplanum esse D planum.
  73. A quact. = v vv aus. B vuno iM A, aquabituI

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 143. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0149?run=74