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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 27

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. NOT A P RTOR F S.
  2. Ex operemulciplicationis Acubi, F A quadrato in B3, A in B quadrarum 3, PusL
  3. cubo, per A - + B - + D
  4. lblatete, caccesus tuo guaaraco, a radice binomia adlcitis conoruen-
  5. ter lublaterali coefticiente lolido ex lubquadrarico coesticiente plano,
  6. COPOHETC.
  7. draricum C planum. Oporreat quadraco. quadracum abs A- t B adFectum adjunctione
  8. duplicis plano-plani, unius (ub A F B e D Tolido, alcerius (uB A - + B gnadearo e C pl2-
  9. nO Componere EHingatuE quadeacum abS A = + B, Rin illud superaddico G plano, ducarur
  10. A - + B, X in efecta lolida superaddiro D Coldo, ducacurruilus A - + B, _ CollIgANCUE
  11. Cingularia effecta plano plana, quae quidem CruDE
  12. A quadedto quadrarum. AClBO in B 4, -+ A quadrato in B quadrarum 6,-F A
  13. in B cubum 4, =F B Guaacaco- quadrato, t A quadeaco in C planum, -+ AIn BbIS
  14. in C planum, + B quadraco in C planum, -+ A in D Colidum, - + B in D solidum. IlaC
  15. icaque plano plana aeguanEur guadraro quadrato abS A - F B, adFC Ctoadjunctione pla-
  16. no plani lub A B quadcato et C. plano, et plano planisub a =+ B cadice, et V lolido.
  17. Flinc
  18. draricum, alcerum vero lublaterale Colidum Frie
  19. Ouadraro. GuaaC TaLCHIS PEME, PIuS CDO TateS P Tacus ICC qua
  20. druplum, plus quadraro lareris primi in laceris se cundi quadrarum sextuplum, plus lacere
  21. primo in laceris secundi cubum quadruplum, plus quadraro-quadraco laceris secundi
  22. plus quadcaro laceris primi in coëtticiens planum, plus duplo plano sub laceribus in ec et-
  23. Aciensplanum, plus quadraro laceris secund in coefficiens planum, plus lacere primo in
  24. coesticiens Colidum, plus larere secundo in coefticiens lolidum, aequole quadrato qua-
  25. draro adgregacilarerum, adFecto adjunctione duplicis plano plani; umius lub quadiato
  26. aderegat laterum, ec coëfticience plano, alcerius lub aderegeo laterum, ee cvesticiente
  27. Colido.
  28. COPONCLC.
  29. povere quadeaco- cubum abs A -+ BadFcctum adjunctione plano. lulidi (ub A- t B, 8
  30. Dplano plano. Componaneur quadraro quadracum abs A- + B, de in illud, lipernddi-
  31. 20D planio- plano, ducacur A. F B, de colligintur effecta Cingularia plano. Solida. FrUBE
  32. cuboabs A = B, adtecto adjunctione plano. Colidisub A F B, _ D plano plano. Flinc
  33. concipitue
  34. Eiciensplano. planum, plus larere secundo in coefticiens plano planum, est aqualis qua-
  35. deato
  36. R 0 P 65+ L1O XZR.
  37. Vadraco. quadratum adFCCTUIMACMMCHONE AMPHCIS PTAHO.PLALII, CLIIdS
  38. Sicradx binomia A - + B, coeficiens sublarerale D ColidutH, CocMMctens lubquadra-
  39. E O R E M
  40. Si Fuerine duo latera, et praeterea cu efticiens duplex; unum quidem planum subqua
  41. PR OPOSTF1O XXXI.
  42. )Cladraco-cubum adfectum adjunctione plano lolidi sub lacere aradi-
  43. ecbmomia adlcitocongruc uaaee Plaho-Plano,
  44. Sit Fadix binomia A -+ B, coesticiens (ublarerale D planO. planMM. OPOTFCAF COM-
  45. A quadearo. cubus, Y A quadraco- quadrato in B5, A cubo in B quadraTuM 10,
  46. A quadraro in B cubum 10, + A in B quadcarO- quadraTuM S, F B quaa1at
  47. A in Dplano-planum, i B in CPa PraI. Oua ideO X quabUnEUE quadraTO.
  48. T E E O R E M
  49. Si Terine duo latera, ex praeterea coefticiens sublaterale plano. planum: quadcato. cu-
  50. buslaceris primi, plus quadcato quadraro lateris primiin latus e pn
  51. Pluscubolaceris prim in laceris secundi quadrarum decuplum, piets eeacato laceris pri
  52. im in laceris secundi cubum decuplum, plus lacere peinre ta lateris se cundi quadraro-
  53. quadrac sincuplui. Prus sueace cubo laceris secundi, plus lacere primo in evet.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 27. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0043?run=74