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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 187, page id 845634801:0193
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n0. plat
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additi
115 let
se
inem.
onitu
n et
eueit
e
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den
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Divisorit
POTLSF ATVH RESOLNTTONE.
EY Lductio latensnaltosecnal.
420
(Solidum enpletionis a co-
triplum quadratum la-
efficiente loncicudine in
teris primi
supertor, num expletionis à co
pars
efficiente longicudine in
Reliquum resolvendi adfecti quadrato-
quadraci.
criplum lacus primum.
Cdessbuns congirudo.
Divisorum
pars inferion
ab pracipa
denup qualratum
5primi
Plan
Ouadruptus cubus
terisprimi.
lum la
mum.
Summa divisorun
ta a divisoribus
00 1 6
Alatere secundo in quadruplum cubum la-
ter
sprimi.
A quadrato secunat in sextuplum quaot
cumprimi.
A cubo secundi in quadruptum larus pre-
Ouadrato. quadrarum secundi.
A latere secundo in solidum expletio-
A quadrato secundi in planum expletionis
A cubo secundi in coefficientem lonsirudi-
Summapiuno. planorum auferenda, 2 3(0 0 16
equalis residuo re solvendo quadrato-
quadrato.
nem.
ltaque si r DO. F 10C, equentur 470, 916. fot L HY 24. FX retrograda, que omnino observasa
cernuur, compositionis viao
PROBLEMA VI
i Daco in numeris quadeato. quadrato adtecto adjunctione duplicis pla-
no plani, unius sub latere e daro coeticiente lolido, alterius lub late.
is quadrato e dato coëfficiente plano, latus analytice elicere.
Duacrarum cujusdam numeri ductum in ipsum quadracum et in 200, Cacit 4 46, 976.
Duaeritur quis Eie numerusille.
In noris1O = 20O 2, aquatuF 446, 976, XCAELN unitatUM GuOE:
Cale non indiger parriculari explicarione Problema. Duoniam GI1 O Q = 2009. X-
Alacur 446, 976. TBicurr O + 200N, aequabicur 4 +6, 976. Erincelliserur 1 N quadra-
cum laceris, de quo primum quarebatur
Ac cum adfectioniplano. plani sub quadrato lateris, et daco coetsiciente plano, per-
Milcerne adtectio plano. plani sub latere ee daro coëtlicienre Colido. opus est parriculari
analvSI, ICIH LHCI.
Duidam numerus ductus in suicubum de in 100, addico facto sui quadrari in 200,
aet 443, 376. Ouaricur quis sienumerusille.