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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 134, page id 845634801:0140
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F. L ML E N D A F FO A
In quadratis affectis, homogeneum comparationis invariatum conssti-
to: in cubis ducitor quadratice: in quadrato-quadratis, cubice: in quadx2-
to. cubis, quadrato. Quadratice: in cubo. cubis, quadrato cubice: & icadc-
inceps.
1t
Fromogenea sub gradibus adfcientia negate, in homogenea sub oradi-
bus reciprocis adficientia aftrmate eranscunto:  c contra, adficienria 2d.
Trmate in aFhicientianCgaTC.
TTI.
Coethciens adfectionis lub lacere, invariata contistat.
Coethciens adfectionis sub quadrato, ducicor inhomogeneum compa-
rationis.
Coethciens adfectionis sub cubo, in homorenei comparationis qua-
dratum.
Coefficiens adfectionis sub quadrato. quadrato, in homogenei compa-
rationis cubum.
Coëtsiciens adfectionis sub quadrato. cubo, in homoseniei comparatio.
nis quadrato- quadratum. e ita deinceps.
Acque ad cognicam radicem porestatis ita noviter ade quata, dum appli-
CABIEUIE HOIOSCNCUI COIPATALIONIS PCTEIMENS ad XGULALIOHCM QUX PFO-
Ponebatur, resticuere lacus de quo primum querebatur pronunciato.
Plane quecunque magnitudo ad novam quarendam radicem applice-
tur, ita uc ex ea applicatione oriatur radix de qua primum queritur, li lub ca
specie dirigatur propolita aequatio, ee le cundum artem eransmutetur, sem-
per adtectiones que crantnegate, transibune in adtirmatas lalra numero-
rum Cymmetria: le dideo conrenientios est applicatio homogenei compara-
tionis, ne forte accidens tractionisnovam rurlus exigat reductionem in A.
richmeticis, at in Gcometricis, talicius applicatur magnitudo homogenca
Quadrato radicis de qua quarirur.
PEOxOnAuE A cubus = Bin A quad, aequari B in Z quad. n 2Z estO A. E cubus F B
quad. in E, aequabirur B quad. in Z..
C A P V F Ht
Dc Analtrophc.
Aut quemadmodum ad versus vocum Aupiboxias in aequationibus cor-
rclucis, la aata racice unius habetur alierius nocitia.
Lmutatio, itainctituta, ut gux prima proponitur requatio, ca ope lix
Correlatx per irregularem climacticum descensum, re ducatur ad depressio-
rem, ideoque magis explicabilem. percinet ad vicandum tanquam in xe qua-
licaribus inverse nesatis accidere diximus, amphiboliam, e dysinechanian,
in cubicis, quad. cubicis e exinde per binos alternos gradus climacticis.
Ouodenim ad quadraticas, quadrato quadraticas, ec exinde perbinos al-
ternos gradus climacticos attinet, carum re ductioninon protcicanastro
phe, verum recurrendum est ad C limacticam Paraplerolin, de qua dicctur
luo 10c0.
AN2
A. Lauropheeltaequationummreeala  Ilas Correlatas erant