Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 101

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: 0.81.

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

The machine reads it as

  1. NON
  2. uad.
  3. 210.
  4. dum
  5. C etit
  6. 1.
  7. Ae2.
  8. Sico
  9. raio
  10. EHM
  11. C0
  12. 18
  13. duI
  14. la BO1
  15. 1aded
  16. 12B0
  17. quo
  18. ed
  19. A, QV A F YO N V M.
  20. 10L
  21. quad. =F. B cabo -r. Bin Z planum 2 in A x quabitur Z. plano plano f B quad. in Z. planuMI. UE CAt
  22. enunciacum.
  23. Si +O = 8N. aquetur 20. +89. + 832 N. aequabitur 1680.
  24. Y H E OR E M A II.
  25. I A quad. =BIn A XQUCTUE Z planO: A quad. quad. = Bcabo = B in Z planum =
  26. in A, aquabitur Z. plano. plano = t Bguad. in Z planum.
  27. Nec distimilis est ab ca quae in ancecedence Theoremate exposira est demon-
  28. Aracio.
  29. Si + O - 8N. aequetur 20. +C C - 832 N. aequabitur 1680.
  30. T H EOR FM A TII.
  31. SF B in A = A quad. XGuETuF Z planO: Bcabus = Bin Zplanum L In A - A quad.
  32. quad, aequabicur B quad. in Z planum - Z plano- plano.
  33. Nec dissimilis est ab ca qua in primo hujus capicis Theoremare expolica cA de-
  34. monstratio.
  35. Si 12 N. = 1 9. aquetur 20. 1248N. = 1O O. aequabitur 2480.
  36. Dequadrato quadraris affectis sub latere; ex quadrato.
  37. T N EOR EM A IV.
  38. SF A quad. - +. B in A aquetuE S plano =+. D plano: A quad. quad.
  39. =Oplano 2 - B quact. In A quact. - + B in S planU 2 in A, aquabiEIF S plano-
  40. Plano = D plano- Plano.
  41. Duoniam enim A quad. F B in A, aquatur Splano = D plano, igirur per ancithe.
  42. SIn A quad = D plano, aequabitur SplanO -B in A. VETAGUC PAES IEA ETaN(POTIEX X-
  43. quacionis, ducarur quadratiec. Ergo A quad. quad, = D plano in A quad. 2 + D plano-
  44. plano, aequabicur S plano- plano = B in A in S planum 2 + B quad in A quad. EC om-
  45. nibusrice ordinaris, A quad. quad. = D piano 2 - B quad. in A quad. + B in S planum 2 in A,
  46. aequabicur Splano. plano, - D plano. plano. uc est enunciacum.
  47. Si 1Q F 8N. aequetur 2O. composito ex 1585. 1Q= 74 8. + 240 N. aequabitur
  48. 200.
  49. P H BOR E M A V.
  50. EF A quad. = B in A aquCtuE S planO + D planO: A quad. quad.
  51. Dpiano = B guac. in A quad. = B iI S plANUM ZIN A, XquabItT S planO-
  52. plano =D plano. plano.
  53. Nec distimilis est ab ea qua in ancecedente Theoremate exposica eAt demon-
  54. Rracio.
  55. Si 1 9 = 8 N. aquatur 20. composito ex 15 835. 18 2 = 74 P = 240 N aquabitur 200.
  56. T H E OR EM A VI.
  57. SFBIn A = A quad. Xquetur S planO -+ D plaHO: B guad. -- 5 plano= in A qu2d.
  58. Bim D planum 2 in A = A quad. quad, aquabicur S plano. p laHO -
  59. D plano plano.
  60. Nec distimilis est ab ea quae in quarro hujus capiris Theoremace expolica est demon-
  61. Aracio.
  62. Si 12 N. = 1 9. aguetur 20. composito ex 15 8 5. 124 D- 12ON = 1 Q e. aequabitur 200.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 101. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0117?run=74