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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 219

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: 0.92.

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The machine reads it as

  1. POTEST A ZVH RESOLVLTOHE.
  2. FFAIPFOPONAEUEIC =9Q F 24 N, aquari 20. Pria larera lune2, 2, 5. duo videlicet
  3. dinis, aequale est coesticienci plano, Cingula eria latera aequalia (unE. VELIPEOPONATHIELC
  4. 60 = 12 N, aequari B. Pria larera lUNE2, 2.
  5. Cumeriplum quadracum coefticientis longirudinis, ceder coeficienti plano, mulla erir
  6. in radice ambiouiras: Sed resolvetur cubus cum sua duplici adfectione, vel adfectione
  7. Talrem una, ex arre liberabitur.
  8. Sane, cum Colidum sub coefficience longitudine de coefTicience plano, XequaBituE re-
  9. Colvenda magnitudini: non indigebitres live expurgarione sire relolurione. Coesiciens
  10. enim longiendo ipsa erirradix de qua quaerituT. PFOPONATUEK C =69 F 4ON, Xquari
  11. 240. Ouoniam 240, sicex ductu 6 in 40, erir L N6. Quod adnorasse tuit oporrunum,
  12. P R OBL EM A XIXL.
  13. i Dato in numeris plano- plano sib larere et data coeffsiciente (olidama-
  14. gnicudine, adfecto multa quadrato quadrati, latus analytice clicerc.
  15. PFOPONAEUE27, 755N =L 9O, aequari 217, 944, Ouaricur quanta sic magnicudoLN,
  16. radixre propolici quadraco-quadrari avuls.
  17. Fs217, 944 plano. planum sub lacere ex daro coetticiente (olido27, 755. Ouandoau-
  18. tem porestasnegatur de homogenea sub oradu, latus est anceps. leaque ea quae proponi-
  19. cur aqualicas de duobus laceribus porest explicari; quorum minoris cubus minor elt 6
  20. 938 3 quadrante coefficientis solidis majorismajor. Ac proinde cum adplicabitur qu-
  21. druplum plano- plani 217, 944 ad Colidum 27, 755; orietur lacicudo major radice mino-
  22. re; de minor radice majore. Aeque adeOUETAVISITA OCCUTTCE.
  23. Paradiema primum analy seos quadrato. quadrari avulsi à plano-
  24. plano sub latere, ad inveniendum radicem minorem.
  25. TEductio laceris singularis primi inanis ante derolurionem.
  26. Coessiciens solidum
  27. 5 Sublaterale.
  28. erribus suntincer se equalia. Ac CM Guadrarum e crienre coësticiencis longiru-
  29. Llano planum sub latere, multatum
  30. laceris quadrato- quadrato.
  31. lgura non porestesse 2. Si verolumatul LPluc. planitte Peincipale, quod minuerenon
  32. minai oporret, majus esser plano- plano reltituro, ideo hrdevolurio.
  33. Eductio lateris lingularis primi post derolutionem.
  34. Coefficiens solidum.
  35. Ouoniam eadix minor de qua quaerirur ce dixlareri cubico (olidi 6, 938. Traque prima
  36. Plano planum sub latere multarum la
  37. ceris quadrato-quadrato
  38. Plano. planum restiruens.
  39. Piano. planum restitutum.
  40. Plano. planum principale minuens.
  41. aequale plano. plano restituto.
  42. Uaquest 27,755 N = 1 90, aequetur 217, 9 4 4. fot 1 N 8 lacusunum, idemque minus, ut indicat,
  43. limirum prefinicio. Cum aurem ad 8 adplicatur plano. planum 217, 944, oritur solidum 27, 2. 43
  44. Guale reciuie factus a radice 8 cubus ablatus e solido 27, 755. Incelliguntor quaruor continue pro-
  45. Frotales Cubi, quorum minor extremus sic 512. adoreparum vero e reliquis tribus 27, 2 43. Cubus au
  46. m major excremus LC. Er8OL C = 8 B = 6+ N, aquabitur 27, 243. 83 fier L N 27 latus alie-
  47. um, idem que majus proposici aruisi quadrato. quadrari.
  48. 6
  49. Ouadrato quadrarum cantpri.
  50. 2040 Alatere prnosens solidum.
  51. Para

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 219. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0225?run=74