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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 15

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.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. provositione secunda contmue proxorrionales in intinitum. Sic hic lyltema inant l
  2. Marra. Series lslcui quatuor concinue propolttonalium ila le labeli
  3. prima A, Secunida B, Fertia = quaer., quarta
  4. guarca. Duontantsut s. Gllaclacus communis elt inulciplicacor expolucarum qua-
  5. cuox continue proporrionalium; a communi aurem multipliCANEE NON ImmUTaEUEPEO-
  6. porcio: erum tacta in continueproportionales quoque proportionalia. sunt aurem facta
  7. A cubuS, A quadratum in B, A in B guadratum, B cubUS. Ouare inFer duoS prODOLITOS
  8. cubos extribuimus duo media conrinue proporrionalia. Fix his deducirur hoc senerale
  9. Si duo lacera aecolluntur ad porestares ejuldem gradus, lacus aurem lecund ducatur.
  10. in oradum parodicum elaciorem primi, deinde laceris secundi quadratum in gxadum
  11. Cuccedentem elatiorem primi, & co continuo ordinc: efficientur continue prOpOr-
  12. tionalia inter porectates primi ex secundi. Id enim manifectum Ar ex lecunda Propositio-
  13. ne. Vnde eriam proponipocuic seneralius,
  14. Incer duas qualcumque Potestatesx que altas, extribere tor media con-
  15. tinue proportionalia, quorlunt gradus parodici adporestatem.
  16. PR OPOSTZTO V
  17. Ncex duo lacera propolita extibere quoclibet continue proportiona-
  18. lia.
  19. Gurro duo latera A, B. Op orteat exhibere inter ea quotlibet conrinue proxorcio-
  20. nalia. Libear exhibere quatuor Duoniamisicur porectas, ad quam latus per coridem gradus
  21. deducitur, quochic media continue proporrionalia exiguneur, nempe quatuor, quintum
  22. sibi locum vindicee necesse est; in quineo aurem sradu consistie quadrato. cubus:
  23. accollanEuE _ A e B ad pocestarem quadraco- cubi, de inter A guadrato cubum.
  24. e B quadraco. cubum, constiruantur media guatuor continue proxorcionalia, quo-
  25. rum Ceries est hujusmodi:
  26. Ducantur omnes in A guadrarum, cui vdeHICeE cum adplicaCat B CaDuS, OHIIIL
  27. CDA3ECLAKLVM.
  28. I. A quadrato- cubus.
  29. L. I Guadraco- quadFatIM I B.
  30. 3. A Cubus in B quaatatI.
  31. 4. A Guladracum in B cubum.
  32. 5. A iIL B quadrato. quadracum.
  33. 6. B quadralo Cubus.
  34. Oux aurem lunc proportionalia porestare, proportionalia quoque Laaice.Uate
  35. singularum (ex proportionalium consticutarum lumantur larera quadraro cubica: c-
  36. tunc isitur quoque concinue proportionalia (ex latera, qualia hic designantur: vi-
  37. delicet,
  38. 5. Latus gC. L H B quadraco- quadrarum.
  39. ErSO inter A d B exhibita sune eor media cominue proporcionalia quor exiee.
  40. banEUE.
  41. PR OPOSFFTOYL.
  42. 2. LacuS gC. A quadrar. quadrari in B.
  43. 3. Latus gC. A cubi in B quadrac.
  44. 4. LaruS gC. A quadrari in B cubUI.
  45. llacum mastlcudinum adoresaro ditterentialu Caluadem dace.
  46. da Aedetbiit ed D. Mula tlt ed ctui tati

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 15. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0031?run=74