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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 29

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: 0.88.

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The machine reads it as

  1. ENI
  2. e e2VL L. 30
  3. SIS POTES
  4. D
  5. ReSaTC.
  6. LIDEOSTTTO XXXIV
  7. Lcongruenter sublaterali Coefficiente longitudine, componere.
  8. SitrdaX binomia A -] B, coetreiens sublaceralis D longirudo. Oporreat quadrarum
  9. ab5 A - B adfectum malea plahI luB A = B, d D longicudine, Componere. Ducatue
  10. A + BIH A. ] B =D, crunc estecta PraMa, A quadracum, + A in Bbis, + B quadracO
  11. =A in D; = B in D. Oux ideo equabuneur quadrato abs A t. B, adfecto mulca plaiss
  12. ex A. J BodC. L
  13. H L O R F M A.
  14. Si Fuerinc duo latera, una Cum rciente sublareralilongirudine: quadracum lace-
  15. ris primi, plus plano à lacere primo in lacus secundum duplum, plus quadrato laceris se-
  16. cundi, mirusplano a lacere primo in coetficienrem longirudinem, minus plano a larere
  17. secundo in coefficienrem longirudinem, est equale quadraro adgregarilacerum adfecto
  18. mulca plani lub dicto adgregaro, e coefticiente illa.
  19. LOE OSFTTO ZZXV.
  20. bum adfectum mulca Clidi sub latere, a radice binomia, ad (cito
  21. congruenter (ublateras Coefficiente plano, eAfingerc.
  22. Sic radix binomis A L B, coetticiens Cublacerale D planum. Oporrear cubum abs
  23. A - B adFectam mulea COHaI ex A +. B in Dplanum, effingere. Componacur quadra-
  24. cum abis A -F B, dm illud mulcarum D plano ducatur A -F B, collisanturque lingula-
  25. ria effecta Solida. Fruneilla
  26. ACubuS, -+ A quadrato in BCer, = + A in B quadracum ter, -+ B cubO, = A in D pla-
  27. num, =B in D planum, e aequabuncur cubo abs A. + B acfectomulca Colidi ex A - + B
  28. in D planum. Ftinc
  29. T H E O R E M A.
  30. Sifuerine duo larera, ex praecerea coefficiens sublacerale planum: cubus laceris primi,
  31. plus Colido a quadraro laceris primi in lacus secundum eriplum, plus solido à lacere primo
  32. in laceris se cundi quadeacum eriplum, plus cubo laceris lecundi, minus Colido a lacere pri-
  33. moin coefficiens planum, minus Colido à lacere secundo in coefficiens planum, est eequa-
  34. lis cubo adgregari lacerum adfecto mulea solidi sub coefticiente plano, et adgregato la-
  35. cerum.
  36. LR OPOSTZIO XXXVI.
  37. lbum adfectum mulca rondi sub quadrato, a radice binomia, 2dsci-
  38. ta ConrVenEeL Coetticienle subquadratica lonsitudine, componere.
  39. Sic eddiX binomia A = B, cOCHICCHS Iabquadrarica D longicudo. Oporreat cubum
  40. 2b5 A. F B adFectum mulca LTb A. F B quadraro, _ D longiiudine, COmPONCTC.
  41. LHIngACE quaaracum abs A F B, ee in illud ducarur A. F B -=D, de colligantur effecta
  42. SratomD, = A in BbisInB, =S Guaataco in D. Duxidcirco equalia exunE A- + B
  43. cubo, adFecto MuIa lolidrabs A - + B quadraco in D lonsicudinem. LLinc
  44. radracum adtectum mulea plani sub lacere, à binomia radice adscica
  45. lingularia Colida. Frunc illa
  46. A CubuS, +. A quadeato in BFCE, - + A in B quadraTUM FeF, -+ B cubO, = A qu2-
  47. L A E O R L. et A.
  48. primi, plus solido a quadraro laceris primi in lacus secundum rriplum, plus Colido à lace.
  49. ee primo in laceris secundi quadeacum criplum, plus cubo laceris secundi, minus colide
  50. 2 qua-
  51. Situerthe duo latera, de pralerea demeens adratica longirudo: cubus latett

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 29. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0045?run=74