Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 97

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: 0.86.

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The machine reads it as

  1. Ard.
  2. 1161
  3. b1S
  4. 31
  5. et
  6. AE OV A XTONV M.
  7. Ouoniam enim B quad. 3 in A - A cubo, aequatur Z solido, est aurem B + A radici
  8. E aequalis, igirur F. =B aequabicur A: quare Colidum abs B quad. 3 in F -B, minus cub0 ab5
  9. E= B, aquabirur Z Colido. Solidum aurem illud afectum constac, B quad. in F 3 - B cubo 3.
  10. Cubus reronesacus de solidoillo, - F. cub. L B in F quad. 3. B quad. in F Z -] B cnb0
  11. Ouare omnibus bene ordinaris, B in E quad. 3 = F cubo, aequabitur B cubo2 + Z Colido.
  12. A P V X ZI.
  13. Deductiva adfectorum cuborum tam sub quadrato quam sub la-
  14. reres a cubis adfectis sub latere.
  15. E E E O R E M A 1.
  16. A cubuS + D plano in A, xquetur Z Colido. A = B eAtOF. F CU-
  17. bus = B in F quad. 3 = B quad. 3 - D plano iN P, Xquabitur Z Colido + L
  18. Ouoniam enim A cubus. D plano in A, proponitur aequari Z Colido: est aurem A + B
  19. radici L aqualIS, IBITUIE L = B aequabITUE A. Ieaque cubus absE =B, adjunctus solido
  20. abs D planOIM S - B, 3quabML Z Colido. Cubus aurem absE =B COnSAE, F. cubo - B in
  21. E quad. 3. F B quad. in L. 3 =B cubo. Solidum vero aftectionis, 1 D plano in F. -
  22. Dplano in B. Ouare omnibus bene ordinaris, L. cubus =B in L. quad. 3 F B quad. 5
  23. D plno in E, aquabicur Z Colido + D plano in B. F B cubo. ur eA enunciacum.
  24. T H E OR E M A TI.
  25. A cubus F D plano in A, eequetur Z Colido. A = B CAtOF. P CU-
  26. Dbus F B in F quadL. 3 F B quad. 3 + D plano In F, xquabitur Z. Colido = D
  27. Ouoniam enim A cabus. Oplano in A, aequatur Z Colido: est aurem A = B radici
  28. E. aequalis, igirur F. + B, aequabitur A. Itaque cubus absF Badjunctus solido abs D pla-
  29. nO in E + B, aequabicur Z Colido. CubuS aurem abSE B contaE, F cubo + B in F quad.
  30. 3. + B quad. in F. 3 F B cubo. Solidum vero affectionis, + D planO In F, + D plano
  31. in B. Ouare omnibus bene ordinatis, P cubus + B in F. quad. 3 +B quad. 3. + D pl. IB F,
  32. aequabitur Z Colido - D planoin B = B cubo. ur est enunciarum.
  33. T I EOR E M A TII.
  34. EF A cubuS = D plano in A, aquetur Z Tolido. B = A XGLCTIFF. P Cu.
  35. Dbus =B in F quad. 3 + B quad. 5. Dplano II F, a quabieur B cubo - D planO
  36. in B = Z. Coliao.
  37. Ouoniam enim A cubus Y. D plano in A, aequatur Z Colido: est aurem B = A FadiCL
  38. E xqualis, igirur B = F aequabitur A. leaque cubus abs B = e adjunctus solido abs D pla-
  39. no in D =E, aequabitur Z Colido. Cubus aurem abs p = F constar, B cubO = P. in B quadr
  40. 3, + F quad. in B3 = F cubo. Solidum vero affectionis, f D plano in B, = D plano
  41. in F. Ouare omnibus bene ordinaris, E cubus = B in F quad. 3. =X B quac. 3 = Dplano In L.,
  42. aequabitur B cubo + D plavo in B - Z Colido. ur est enunciatuI.
  43. Y E E O R E M A IV.
  44. A cubus = D plaHO in A, aequetur Z Solido. A F B CAOF. F cubuS
  45. B in E quad. 3 gud. 3 - Dplano iM F, a quabitur Z solido = B cubo -
  46. E aqualis, igitur E. -B aquabitur A. Leaque cubus abs F = B mulcarus (olido abs D plano
  47. IMF =B, aquatur Z Colido. Cubus aurem absE -B COnAAE. F cubo - B in E quad. 3 ] L
  48. quaet. H C. 3 = Bcubo. Soc vero affectionis, = D plano in F. + D plano in B. Ou2
  49. re omnibus bene McaC, C. CuDUS = B in C. quad. 3 = B quad. 5 = D planO In F, a quabituE L
  50. Colido. F B cubo = D plano in B. uE est enUnCIAEUM.
  51. L HBO.
  52. Plan. in B + BC4b0.
  53. Planio in B = B cubO.
  54. plano in B.
  55. Duoniam enim A cubus. = D plaHOMI A, aquatur Z Colido: est aurem A F B LaaICI

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 97. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0113?run=74