Leibniz Legible

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 138

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: 0.90.

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

The machine reads it as

  1. 88
  2. DE E N E N D A Y FON
  3. Ouibus Theorematis finirima Tuncea, quibus ex daca una ambiguariim
  4. radicum, habetur alcerius comicis nocitia: nCMiPC
  5. T E E O R E M A VTY
  6. CBplanum in A = A cubo, xequetur Z Colido; _ rursus B planum in L
  7. D = Fcubo, aequetur Z. Solido. Innorelcatautem P eNC D: A quad. F V
  8. in A, ae quabitur B plano =D quadrato.
  9. Ouoniamenim B planum in A = A cubo, aequarur Z Colido. de rursus B planum in
  10. D = D cubo, aequatur Z. Colido. Tgirur B planum in A - A cubo, equabitur B plano in
  11. D = D cubO, _ permerathesin, A cubuS -D cubo, aequabitur B plano in A = B pl2
  12. noin D, d urraque aequarionis parre per A - D dirila, Hc A quad. F D quad. +. D in A,
  13. equale Bplano. Oua aequatione secundum arrem concepta, A quadr. f D in A, XGUAEUE
  14. Bplano --D quadraco.
  15. SiBN = TC, aequerur 7. Potest 1 N esse F.
  16. fit 2N V. 25-
  17. duare 2 8 F LN, aquarur 7. e rursus
  18. F E E O R E M A VIII.
  19. ETB in A quad. = A cubo, aequetur Z Colido, _ rursus Bin F quad. - F
  20. cubo, aequetur Z Colido. Innorescat autem P. CNCD. A quad. =D = Bin A,
  21. aequabitur B in D - D quad.
  22. Ouoniam enim B in A quadr. = A cubo, equatur Z Solido, ex rursus B in D guadr.
  23. DCabo, aequatur Z Colido: isirur B in A quad. = A cubo, aequatur B in D quad. - D
  24. cubo, de permerathesin, A cubus =D cubo, aequabitur B in A quade. - D quadr. Ver 2
  25. que pars aequarionis dividiror per A = D, sir A quad. F D quad. F D in A, aequale B in
  26. A. + B in D. Dua aequarionerire concepra, A quad. F D in A - B in A, aequabitur B in D
  27. D quadraco. uc est ordinacum.
  28. Sig 9 - 1C, aequecur d. Porest 1 N esse X. Ouare+ O = 8 N, aequabicur 8. et rursus fit L N
  29. 24. + 4.
  30. A P Y Y IV
  31. DeTsomaeria adversus vitium fractionis.
  32. Somceria est species transmurationis per mulciplicationem, ita institutas
  33. uc xqualitates a Fractis numeris quibus laborane liberentur.
  34. Reducuntur videlicetFractiones ad candem denominationem, ex legc
  35. Logictices.
  36. Deinde Ac ductio homogenei communis denominatoris, vel Orrorum
  37. ab cograduum, in datas coefficientes; datumque homogeneum compa-
  38. rationis.
  39. Radices ducantur in coesficientes lonpitudines, quadrata in coefficien-
  40. tes planas homosencare datae mensurx plana, cubi in parabolas solidas
  41. homogeneare darx menlurae lolida, e coconstanti ordinc.
  42. Duodque tic ex denominatore communi, et radice aqualitatis propO-
  43. SEx, estradix aequalitatisita praeparatx.
  44. Incerdum cxaleneme, Mlpcatione ilomaerica non opus lic, led
  45. dirisione: applicantur videlicet coetfcientes longitudines adradices coet.
  46. Sicientis planx, homogenex que datxe mensurx lolida ad cubos, d eocOn
  47. Sanci ordine, quodque oritur ex applicatione radicis ad communem de-
  48. nominatorem, est radix aequalitatis ita prxeparatX: Findameneum autem
  49. luum habet de demonstrationem, ex symbolo x qualitatum, quo cavetus,
  50. SI X Gu a-

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 138. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0144?run=74