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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 547, page id 845634801:0555
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IN NYOZ AS PR EORES
Pag: 25. inirio geneleos cubi adFecti ad trmare sub quadraro.
Pauls aurem post. Sic lacus unum A, alcerum B, coefticiens subquadrarica lonoirudoD
Dico A cubum, F A quadr. in B3, + A in B quad. 3, + BcHbO, + A quad. in D, +
A in B in D2, = B quad: in D, aequari A. I B cabo, = D in A F B quadFACUM. EX OpC.
re mulciplicarionis A quad. F A in B2, F. B quad per A + B + D.
Alivd F E E O R E M A.
Si ab eadem binomia radice componantur duo cubi, unus purus, alcer adErmate ad:
Fectus, sub iplius radicis quadraro ex adscit à coefticience longirudine: Singularia Colida,
quae compolicio adfecta addie compolitioni purx, lunE
Solidum a quadraro laceris primi in coefficientem longirudinem.
Solidum à lacere secundo in duplum planum, quod Ec 2 larere primo in coefticieri-
rem longirudinem.
Solidum à quadraro lateris secundi in coefficienrem longicudinem. Ex collatione
urriusque suppolcionis.
Deinde oeneleos quadraco-quadeari adfecti ad Ermare sub latere.
Denique. Sic lacus unum A, alcerum B, coësticiens sublacerale solidum D. Dico A
quad. - quad. Y A cubo in B 4, F. A quad in B quad. 6. + A in B cubum 4, I B quad-.
quad. - +. A in D Colid., + B in D Colidum, aequari A + B quadc. - quadr, + D Colid. in
A F B. Ex opere mulciplicarionis A cubi, + A quade, in B3, +. A in B quadr. 3, + B
ciibo, + D Colido, per A. = B.
PaG. 26. post Theorema. Geneleos plano. plani adfecti cubo adFrmare.
ibidem. Sir lacus unum A, alterum B, coëtticiens longicudo D. Dico A quad. quad.
= A cvbo in B 4, F A quad. in B quadr. 6, -= A in B cubum 4, F B quad, - quad., + A
cubo in D, + A quad. in B in D 3, +. A in B quad. in D3, F B cubo in D, aequari A + B
quad. - quad., Y D in A + B cubum. Ex opere mulciplicarionis A cubi, 1 A quadr. in
B3, - A in B Guad. 3, F B cubo, Pet A F B + D.
ALiHd Y H E O R F M A.
Si ab eadem binomia radice componaneur duo quadraco- quadeata, unum pure, alce-
rum adfectum adjunctione plano. plani. sub ipsius radicis cubo e ad Ecira coesticience
Ponsicudine. Singularia plano. plana quae compolicio adfecta ad die compolicioni pu-
Pae CUNE
Plano. planum à laceris primi cubo in coefticientem longimdinem.
Plano. planum a quadraro lareris primi in criplum planum, quod Ac ex latere se-
cundo in coesticientem longicudinem.
Plano. planum à lacere primo in eriplum Colidum, quod sr ex quadrato laceris (c-
cundi in coesticiencem longicudinem.
Plano. pranum a elibo laceris secundi in coefficientem longicudinem. Ex collario-
Purum.
Adfectum.
A quadracum in B quadratum 6.
A quadeaco: quadrarum.
A cubus in B 4.
A in B cubum 4.
B quadraco quadracum.
ne ulttusc luppolicionis.
A euadraro. quadracum.
A cubus in B4.
A quadrarum in B quadrarum 6.
AB cubum 4.
B quadraco quadracum.
A cubus inD.
II A quadearum in B in D 3.
TIT A in B quadrarum in D 3.
IV Bcubusin D.
Ex opere mulciplicatioviS Acubi, + A quadc. in B3, + A in B quadr. 3, - F B cubo,
Apposurmus deurque sit bau sinem pa s. 40 es 41, alas figurai e reeione sibi resp ondtes. Sua
autem
tet A + B + D.