Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 102

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 R E COCNFFFOH
  2. De iildem aliter,
  3. P H E O R E M a VII.
  4. EF A quad. =+ BM A aeguETuF Splano = D plano: A quad. quad. =De
  5. no2 - B ead. LI A quad. - F B in Splanum 2 in A, aequabitur S plano. plano
  6. Ouoniam enim A quad. = B in A, aquatur S plano =D planO: ipirr per anriche
  7. Sin, A quad. F D plano, aequabirur S plano - B in A. Veraque igituE parS duCaEur qua
  8. dratice: ergo A quad. quad. + D plano in A quad. 2 F D plano plano, aequabitur Spla
  9. n0. plano =B in S planum in A 2 = B quad. in A quod. Ex omnibusrire ordinalti
  10. A quad. quad. -T D plono. = B quas in A quad. F B in S planum 2 in A, Xquabirur Splane
  11. plano- Dplano. plano. ur elt enunciacum.
  12. Si FC + 8 N aquerur 20. differentiae inter 40 ex 60. 20 0 + 16Q + 960 N, aqu
  13. bitur 2000.
  14. T E E O R E M A VITT.
  15. CF A quadr. = B in A aquetur S plano = D plano: A quadr. quadt.
  16. D=D plno 2 - B quad. in A quad. = B in S planum 2 in A, requabitur S plano
  17. Plano =D plano- plano.
  18. Nec dissimilis est ab ea quae anrecedenre Theoremare expolica est demonstrario.
  19. Sir B = 8 N aquetur 20. differentiae inver 40 8 60. 1Q e + 16 9 = 96O N, aqua
  20. bitur 2000.
  21. T H E O R E M A 1Z.
  22. SFB in A = A quad. aquetur S plano =D plano: B in D planum 2 in A
  23. FB quad. = Splano 2 in A quad. - A quad. - quad, aequabicur S plano plano
  24. Dplano- plano.
  25. Nec dissimilis est ab ea quae in seprimo hujus Theoremaris capite exposira est de
  26. monstratio.
  27. Si 12N - 1 9 aequetur 20. differenia inter 40 87 60. 960 N + 24 0 - 1 e 9, agu
  28. bitur 2000.
  29. De quadrato quadratis affectis sub cubo.
  30. E H E O R E M A X.
  31. SF A quad. F B in A RquCtuE Z planO: A quad. quad. = v in Z nun
  32. in AcubUME, a GcaDIEIE Z ptano piauo vlano
  33. lano
  34. B guac.
  35. Z PlanO X B quad
  36. Ouoniam enim A quad. +. B in A aquatur Z plano, igitur per antichetin, A quac
  37. aequabicu Z plano = B in A. Omnia ducantur in A, erBo A cubus aquAtuTZ plano
  38. A = B in A quad. Ceu alicer ex designato A quadrari valore, A cubuS RquatuE Z planOL
  39. A - B in Z planum F B quad. in A. FFurraque parre hujus aequarionis divila pes
  40. Planum = B 9u24. 25uBus + Z plano
  41. Zolano B quas. XquabitUr A. Ouod igirur dicieur, A quad. Xquas
  42. Z plano =B in A, idiplum Ex desIBNaEO A valore ita exprimitur. A quad. XquVaTUIE
  43. dirootnoo+ i
  44. cuvum. Rursus venio ad primam propolicam aequarionem: A quad. F B1a
  45. A, aquAEI Z planO. Veraque pars ducitor quadrarice: igitur A quad quad L B in A c
  46. bum 2 L B quad. in A quad, xe quabicur Z plano. plano. lam afectio B quadrari in A gu
  47. dratum, incerprecationem accipiro ex poltremum designato a quadrari valore, ip(a et
  48. 3cae
  49. d. in Z. 1
  50. A quad. quad. +v 171
  51. cubum Dua incerprerarione adscira, de omnibus rice ordinacis
  52. uni rocuvo in A cubum, aequabicur = oono stne vino, uE CAt Or ditacum
  53. 5118 + 14N aquatur 147. 189 + 20 C, aequabitur 9261.
  54. 6qu
  55. -D Plano plano.
  56. TH PO

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 102. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0118?run=74