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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 15, page id 845634801:0031
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provositione secunda contmue proxorrionales in intinitum. Sic hic lyltema inant l
Marra. Series lslcui quatuor concinue propolttonalium ila le labeli
prima A, Secunida B, Fertia = quaer., quarta
guarca. Duontantsut s. Gllaclacus communis elt inulciplicacor expolucarum qua-
cuox continue proporrionalium; a communi aurem multipliCANEE NON ImmUTaEUEPEO-
porcio: erum tacta in continueproportionales quoque proportionalia. sunt aurem facta
A cubuS, A quadratum in B, A in B guadratum, B cubUS. Ouare inFer duoS prODOLITOS
cubos extribuimus duo media conrinue proporrionalia. Fix his deducirur hoc senerale
Si duo lacera aecolluntur ad porestares ejuldem gradus, lacus aurem lecund ducatur.
in oradum parodicum elaciorem primi, deinde laceris secundi quadratum in gxadum
Cuccedentem elatiorem primi, & co continuo ordinc: efficientur continue prOpOr-
tionalia inter porectates primi ex secundi. Id enim manifectum Ar ex lecunda Propositio-
ne. Vnde eriam proponipocuic seneralius,
Incer duas qualcumque Potestatesx que altas, extribere tor media con-
tinue proportionalia, quorlunt gradus parodici adporestatem.
PR OPOSTZTO V
Ncex duo lacera propolita extibere quoclibet continue proportiona-
lia.
Gurro duo latera A, B. Op orteat exhibere inter ea quotlibet conrinue proxorcio-
nalia. Libear exhibere quatuor Duoniamisicur porectas, ad quam latus per coridem gradus
deducitur, quochic media continue proporrionalia exiguneur, nempe quatuor, quintum
sibi locum vindicee necesse est; in quineo aurem sradu consistie quadrato. cubus:
accollanEuE _ A e B ad pocestarem quadraco- cubi, de inter A guadrato cubum.
e B quadraco. cubum, constiruantur media guatuor continue proxorcionalia, quo-
rum Ceries est hujusmodi:
Ducantur omnes in A guadrarum, cui vdeHICeE cum adplicaCat B CaDuS, OHIIIL
CDA3ECLAKLVM.
I. A quadrato- cubus.
L. I Guadraco- quadFatIM I B.
3. A Cubus in B quaatatI.
4. A Guladracum in B cubum.
5. A iIL B quadrato. quadracum.
6. B quadralo Cubus.
Oux aurem lunc proportionalia porestare, proportionalia quoque  Laaice.Uate
singularum (ex proportionalium consticutarum lumantur larera quadraro cubica: c-
tunc isitur quoque concinue proportionalia (ex latera, qualia hic designantur: vi-
delicet,
5. Latus gC. L H B quadraco- quadrarum.
ErSO inter A d B exhibita sune eor media cominue proporcionalia quor exiee.
banEUE.
PR OPOSFFTOYL.
2. LacuS gC. A quadrar. quadrari in B.
3. Latus gC. A cubi in B quadrac.
4. LaruS gC. A quadrari in B cubUI.
llacum mastlcudinum adoresaro ditterentialu Caluadem dace.
da  Aedetbiit ed D. Mula tlt ed ctui tati