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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 33

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: 0.89.

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The machine reads it as

  1. l0Y A L K1OA L d.
  2. quadraro in B gnadracum 6, - A in B cubum 4, = B quadraco. quadraro. LlinC aUIEeM OF-
  3. dinacue
  4. lidum, plus lacere lecundo in idem solidum, minus quadraro quadeato lareris primi-
  5. minus cubo laceris primi in lacus secundum quadcuplum, minus quadraco laceris primi
  6. in laceris secundi quadeacum sexruplum, minus larere primo in laceris se cundi cubum qua-
  7. druplum, minus quadearo quadracolaceris secundi, aeguatur plano- plano ex adoreento
  8. lacerum in coefficiens solidum, adFectomulca quadrato quadcati absaderesaco praedicto.
  9. Ainsere.
  10. inD, = A quadrato- quadraro, = A cuboin B+, = A quadraco in B, quadratum 6, A
  11. in B cubum 4, =B quadraro. quadcato. Flinc itaque ordinabicur
  12. cundi, xequarut plano. plano ad ceficience longicudine de cubo adgresari laterum, ad-
  13. tecto mulca quadcaro quadrari abs aderegaro eodem.
  14. Porro monitum se cupio, singula haec Theoremata gene seos seu syntheseos potestarum adfectarum or-
  15. dine respondere singulis analy seos pocestarum earundem Problematis; quae sol vuntur in eruduisimo ope-
  16. re de numerosa pocestatum resolutione. Duod quidem adnocare necessarium.
  17. A in DColidum, = Bin DColidum, = A quadrato quadrato, = A cubo in B +, - a
  18. 2
  19. Situerine duolarera, et platerea coeficiens Colidum. lacus primum in coesticiens lom
  20. OPOSTZFO XLIV.
  21. PLano-planum sito cudo, a=CO-quadrati à bino-
  22. Miaradice, adlcita congeun un n et
  23. SuradXbinomia A - + B, Subcubica coetficiens D longirudo. OpOreAC IONaUII abS
  24. A - + B cabO e ipsa D, adFectum mulca quadraco. quadcari abs A -F B, componerc. la
  25. A - t B cubum ducatuED = A = B. eF cientur singularia plano-plana,
  26. A cubus in D, -+ A quadcaco in BFerIH D, -+ A in B quadratum cer in D, - + B cubO
  27. E O R E M A.
  28. Si Fuerine duo latero, e praecerea coefficiens longicudo: cubus lateris primi in coef-
  29. Aciencem longitudinem, plus Tolido sub guadearo lateris primi ee lacere secundo criplo
  30. in candem oncudinem, plus solido lub lacere primo ee lareris secundi quadraro criplo
  31. in candens lonsicudinem, plus cubo lareris lecundi in eandem longicudinem, minus
  32. quadracc quararo laceris primi, minus cubo laceris primi inlatus lecundum quadru-
  33. plum, minus quadraro laceris primi in laceris lecundi quadracum sexcuplum, minus la-
  34. cere primo in laceris lecundi cubum _HddtaDIaM, Mos Quadento quadraro laceris le
  35. F. N F 5I5
  36. TRIANGHLOR I
  37. R OPOSTFFO ZLV
  38. TRiangulum rectangulum a duabus radicibus, eHingere.
  39. Suneo duxe radices A, B. Oporreat ab iistrianeulum re CEanonlUM, CFINOere EF VerO
  40. docente Pythagora, quadrarum laceris subrendentis angulum rectum, aequale est quadea-
  41. eis laterum circa rectum. Larus aurem lubrendens solet per excellentiam vocari hypo-
  42. chenula. Latera vero circa rectum, perpendiculum e balis. Foisiturrecidieres, uc a
  43. duabus radicibus poliris, efingenda sineeria quadrata, quorum unum aequatur duobus
  44. reliquis, ec maximilatus altimiletur hyporhenule. R eliquorum vero latera perpendicu-
  45. lo e bahi. Ordinarum aucem jam ance est, quadracum adgreesri duorum lacerum, ae qua-
  46. ri quadraro differentix corundem, de quadruplo sub eildem laceribus rectangulo. Oua-
  47. Lead expolicas radices A, B, Subjiciatur terria propotetonanS ESH SAII CA-
  48. =B quadraco
  49. Trematum, hyPOThenUCA CONSIEIRTUE a- I. B auacraco. Di Ferenria earundem, balis, nempe
  50. Perpendicularis exir, B2, cujus videlicet quadratun aequatur rectangulo
  51. sub excremis. Omnia in A, ur ad idem DCHS AAIPHTCACIOMES TAICLA GHA GUE LCVOCCHEII: CLIC
  52. hypochenula A quadrarum, + B quadcaco. pespendicularis A in B 2. Balis A quadcat
  53. Etinc

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 33. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0049?run=74