Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 100

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: 0.87.

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

The machine reads it as

  1. DE RECOCNETTONE
  2. A L F ZP R.
  3. B cubus in F Colidum - F Colidi quadrato, aequabitur P quad. quad. i
  4. Z. planum.
  5. Necdistimilis est ab ea qux in quarro hujus capiris THCOTEMAtE expOSITa eA demoi
  6. Arario.
  7. E H E OR E M A VII.
  8. 2F A cubus =t B in A quad. Xquetur Z Colido. B in A esto F qua
  9. E cubo. cubuS. + B quad. in F quad. quad, x quabitur B cubo in L. 10
  10. lidum.
  11. Ouoniam enim A cabus.- F B in A quad. aequacur Z. Colido: est aurem B in A 2
  12. quale P. quadrato, igirur =mud. RquabituT A. quare ex iis qud PFOPONLINEUE..
  13. Pouno. quad. xquabitur Z. Colido. Omnia in B cubum duCanEUT.
  14. ErgOF cubo. cubus, + B quad. in F quad. quad. xquabitur B cubo in Z Colidut
  15. vrestenunciarum. Ouum aurem ipsum E quadeacum Aaruetur radix plana, haec eta
  16. enunciario. F. plani. cubus. F B quad. in P. plani quad. aequatur B cubo in Z. Colidum.
  17. E H EOR E M A YIII.
  18. CF A cubus. = B in A quad. aequetur Z. Colido. B in A esto F quadia
  19. cum, planumre. P cubo- cubus = B quad. in F. quad. quac, x quabie
  20. B cubo in Z. Colidum.
  21. AL Z Y E R.
  22. E plani cubus = B quad. in P plani quadracum, equrabirur B cuboin
  23. Colidum.
  24. Nec distimilis est ab ea qua in ancecedente TheOremate exposica est demons
  25. T H EOR P M A IX.
  26. SFB in A quad. = A cubo, equetur Z Solido. B in A estO F quadratM
  27. planumve. B quad. in P. quad. quad. = P cubo- cubo, aeguabitur B c
  28. b0 in Z. Colidu.
  29. A E F ZE R.
  30. B quad. in E plani quad. - F. plani cubo, aequabitur B cubo in Z. Colidur
  31. Nec distimilis est ab ea quae in sexrimo hujus capiris Theoremace expolica ell.
  32. C A P V F ZTTI.
  33. monstrario.
  34. Deductiva adfectorum quadrato-quadratorum ab ad
  35. fectis quadratis.
  36. De quadrato. quadratis affectis sub latere.
  37. E E E O R E M A I.
  38. iF A guad. = + B iI A a GACTUEZ. planO: A qua d. quad. - X B cubo - v B in 2 F
  39. in A, aequabitu Z. plano. plano - t. B quad. in Z plancm.
  40. Ouoniam enim A quad. F BIH A, XquatuE Z. plano: igieur per ancich
  41. quad. aequabicur Z plano = b ut A. ergo A quad. quac. atabitur Z. plate
  42. La
  43. 10C
  44. 1
  45. B in A in Z. planum 2 + B quac. Ih A quad. Ac attectio B quadratiin si
  46. rum, incerprecarionem ex propolica aequatione accipiens, valet B quad. in L. t
  47. =B cubo in A. Ouare ea incerpreratione adscica, et omnibus bene ordinacis,
  48. plio

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 100. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0116?run=74