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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 132, page id 845634801:0138
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132
DE EML E N D A FFONF
18 9 -- 78N  Y C, aequerur 20. 8 est LN 10, 3ON - + C, aquabitur 56. es est 1 N 4.
128 = LBN - LC, aequetur 20. e est 1N10. LC - 3ON, aequabitur 36. 8 est LN6.
VelB = A estOF. Bquad. 3 - Dptano in F = P cubo, aequabitur B cubO 2 =D
Plano in B = Z Solido.
309 -10ON =LC, aquerur 264. e est LN6. 2OON = LC, aequabitur 7 36. 8 est LN 4.
TIEautem expurgatione per uncias easque simplices, liberantur xqua-
tiones adfectione sub oradu qui in climacticorum ordinc porestatem proxi-
melublequitur, sic incerdum per uncias triangulares de prramidales e Cx
iis compolitas, pollunt aequationes liberari adfectione lub oradibus inte-
rioribus religuis, considerata coefcience luboraduali, uc porestace, lux-
queradicis cocuncias adsumendo; quor requiric dicta genelis porestacum
purarum a binomiaradice. Elc enim coefficientes radici de qua quaeritur
homogenex, peruncias simplices taxanturilichomogenex radicis quadra-
coiper uncias criansulares; cubo, per prramidales; e eo continuo ordinc.
Proponatur A cubus adfectus lub A et B quadrato, lumetur ad expur-
sationem triens B.
FELI DEOBONAEuE A quadrato-quadratum adteccum (UB A quadracO e B
quadraco, lumetur ad expurgationem illius adfectionis lextans B.
Ecliproxonatur A quadrato- cubus adfectus lub A cubo _ B quadrato,
lumetur ad expursationem decima pasB: nempe sunt numeri criangula-
FC5. 3. 6. 10. 15.
PFOPONREUIE Autem A quadrato: quadratum adFectum (ub A e B cubo,
sumetur ad expursationem illius adfectionis quadrans B.
Ecliproponatur A quadrato. cubus, adtectus sib A quadrato _B cubo,
lumetur ad expurgacionem decima parsB: nempe luuenumeriprramida
lC5 4. 10. 20. 35.
Oux quemadmodum ad ulceriora possint aptari, latis Acmanifectum.
Valecautem illaunciarum eriangularum, prramidalium ex ex iis compoli
carum expursatio, dum illa ea adfectione qua liberanda proponitur, ob
euitur ae qualicas: in ejus aurem adfectionis deletx locum, succedunt aate-
ctioneslinsulae sub aliis gractibusreliquis.
C A P V. F TI
Derransmutatione Recorov eZ aror, quae remedium est ad versus
vitium necationis.
Ai Ouationes in quibus homogenea adfectionum ralidiora negantur de
peceltate, utiliter per tranlinutationem Hecoror Eg aror, emendantur:
ea ticper analogiam rationis impliciex, applicando homogeneum compa-
rationis ad iplamradicem de qua quaeritur. Vnde oritur incerta aliaradix,
lub cujus specie, xquationem primum propolicam liceat diriserc, ee novam
Ordinare.
Sic enim adfectiones illic negatx, cran(cunt hic in afIrmaTAS, ex e COntra
latra numerorum (ymmetria. prodest criam interdum ad alimmetrias.
NOmen autem HOcSroV- EgaTor Cortita eA, ab eo ad quem PFOPOlita PFi-
num xequatiorerocatur, analosilimo: quoniam in ejus Formula, FCrminUS
de quo primum quarebatur, est primus; is quipostmetamorpholin primus.
c
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