Leibniz Legible

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 103

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: 0.88.

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The machine reads it as

  1. AE OV A T XO N V H.
  2. T H B O R E M A XI
  3. ETA quad. = B in A, aquetur Z plano. A quad. quad. = v u 2 numm. - acovo in A
  4. D. Plan. plan
  5. lavo + B
  6. Nec distimilis est ab ea quae in ancecedente Theoremare expolica est demonstrario.
  7. Si 2 9 = 14 N, aquetur 147. 1Q Q = 20 C, aquabitur 9261.
  8. Voono. Z nom 2 x quabitur
  9. E H E O R E M A XII.
  10. Nec dissimilis est ab ea quae in decimo hujus capicis Theoremate exposita est demon.
  11. Arario.
  12. Si2IN = 1 9, aeguerur 98. 15 C - + Q Q, aequabitur 2744.
  13. C A PYF XIV.
  14. Deductiva affectorum aliquoi cuborum ab affectis quadratis.
  15. T H E O R E M a L.
  16. 2F A quad. - + B in A, aquetuF Z planO. B quad., 2 plano in A = A cubo,
  17. aequabitur B in Z planum.
  18. Ouoniam enim A quad. F B in A, aquacur Z. plano. Omnia ducantur in A. isitur A cu-
  19. bus + B in A quad, aequabitur Z plano in A. Sed _ exiis qua propolica lunc, A quad.
  20. aquacuEZ planO = B in A. Ouare ad(cira ca incerprecarione in aguarione cubica, ad ex-
  21. primendum valorem Colidi B in Aquadracum, A cubus L B in Z planum = B quad in A,
  22. aequabitur Z plano in A, de omnibus rire ordinacis, 2 planum f B quadt in A = A cubo,
  23. aequabicur B in Z planum. ur est enunciatum.
  24. Si 19 Y BN, aequerur 20. 84 N = + C, aquabieur 160.
  25. T H E O R E M A II.
  26. E2 A quad. = B in A, Xguetur Z. planO. A cubus = B quadr. - 2 plano in A,
  27. aequabicur B in Z. planum.
  28. Nec dissimilis est ab ca quae in ancecedenre Theoremare expolica est demonstrario.
  29. Si 19 = 8 N, aeguetur 20. 1C = 84 N, aquabitur 160.
  30. T H E O R B M A TTI.
  31. M A = A quad, XGuCTF Z planO. D quade. - Z plmo in A = A cubo,
  32. aguabitur B in Z planum.
  33. Nec distimilis est ab ea quae inprimo hujus capiris Theoremate expolita est demon-
  34. tracio.
  35. Si 12 N = 2 9. aequerur 20. 124 N = + C, aequabitur 240.
  36. T H E O R E M A IV.
  37. S,quad. -1. B in A, XGUCEuE B in D. A cubuS F DF D in A quad, cqua-
  38. bicur B in D quadracum.
  39. Duoniam enim A quad. - B in A, aquacur B in D. Omnia ducaneur in A, igieuC A Cu-
  40. b1S
  41. 10
  42. cubum, aquabitur ono L Bquac.
  43. TB in A = A
  44. Zomostono stane

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 103. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0119?run=74