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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 24

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.

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The machine reads it as

  1. A D LOCFS TZC E N SPFC
  2. 2b5 A- + B, adtectum adjunctione plani subD _ A. t= B, COMPONCTC. DUCATEA. L B
  3. in A + B) 1 D, ex colligancur effecta singularia plana. Frune illa
  4. A quadracum, + A in Bbis, 1 B quadraco, F. D in A, + D in B. OuX ideo aquIA
  5. buncur quadraco abs A + B, adtecto aejunctione planiex A. + B in D longicudinem. Hinc
  6. aurem ordinatur
  7. T H E O R E M A
  8. geneleos quadrati adfecti aftirmatire sub latere.
  9. Si fuerine duo lacera e praeterea coesticiens sublarera lis longicudo: quadratum late-
  10. ris primi, plusplano à lacere primo in lacus secundum duplum, plus quadraco laceris le-
  11. cundi, plus plano à larere primo in coefticientem longicudinem, plus plano a
  12. lacere lecundo in eandem coellicientem longicudinem, aequacur quadcato adgregati late.
  13. cerum adfecto adjunctione plani sub coefticiente illa, &t dicto adercg2to.
  14. Sic latus unum A, alterum B, coeficiens sub laceralis longirudoD. Dico A quadra
  15. rum, = A in Bbis, F Bquadrato, + D in A, F D in B, aequari A F B quadcaco, +
  16. in A + B. Ex opere mulciplicarionis A + Bpex A + B + D.
  17. AlIBd Y E E O R E M A.
  18. Si ab eadem binomia radice componantur duo quadrata, unum purum, alterum ad
  19. Frmare adfectum sub radice et adscira coetticienre lonsirudine: singularia plana, quae
  20. compolicio adfecta addic compolitioni purae lune
  21. Planum a latere pruno coefficienrem longirudinem
  22. Planum à lacere secundo in eandem iplam coefficiencem lonsicudinem. FX colla-
  23. tione vertulque suppolicionis.
  24. P R OPOSTZEO ZXVI
  25. Cibum adfectum adjunctione solidi sub latere, à binomia radice, ad.
  26. Scito congruenter sublateraliplano cocfciente, componere.
  27. Sic radix binomia A F B, coefticiens sublarerale D planum. Oporreat cubum abs
  28. A i B adFecto adjunctione solidi tub D plano, sc ip (a A Y B COPOHeTC. EFInCREUE
  29. quadrarum abs A F B, de in illud superaddico D plavo ducatur A = B, e collIBAnEUE
  30. effecta lingularia Colida. Frune illa
  31. RcabuS, + A quadeato in BFeC, F A in B quadratum cer, = B cubo, + D planoin A.
  32. = D plano in B. Ouxideo aequabuntur cubo abs A L B, adFecto adjunctione Colidi sub
  33. A I B ec D plano. Isinc ordinarur
  34. F H E OR EM A
  35. Si Fuerint duo lacera de praecerea coesticiens sublaterale planum: cubus laceris primis
  36. plus Colido à quadraro lareris primi in larus se cundum eriplum, plus (olido à Inrere primo
  37. in lateris secundi quadrarum eriplum, plus cabo lateris secundi, plus Coldo à lacere pri-
  38. moincoëtticiens planum, plus solido à larere secundo in idem coësticiens planum, _
  39. guarur cubo adsregai lacerum adtecto adjunctione lolidi sub coefticiente plano ec ad
  40. sregato pruedicto.
  41. P R OP OSFFTO ZXVII.
  42. rbum adtectum adjunctione solidi sub quadrato, aradice binomia, ale
  43. (cica congruenter lubquadratica coefticiente longitudine, componere.
  44. Sicradixbinomia A. F B, coefticiens (obquadrarica D longirudo. Oporreat cubum
  45. abs A -F B adfectum adjunctione ColidisubD, _ quadraro ab5 A. F B COmpOnerC. FF
  46. Angacur quadracum abs A -L B, _ ducatur in A -t B -+ D, e colligantur effecta Cingu-
  47. in D, F AI BBISIn D, - B quadratoin D. Oux propierea aequalia erune cubo abs A
  48. FB, adteco adjunctione solidi sub A + B quadraco ex D longirudine: Fincconci
  49. BicuE
  50. laria Concta. Lrunt illa
  51. A cabus, F Aguadraro in Bcer, = A in B quadrarumter, = B cubo, - = A quadeato
  52. E C

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 24. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0040?run=74