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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 26, page id 845634801:0042
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D LOCISTIC F N SPEC
LROeOSIFTO AZIZ.
Vadraco quadeatum adtectum adjunctione plano- plani sub cubo, 2
Lradice binomia, adscico consruenter lubcubico coetticiente lonsi.
cudine, Componcre.
Sic radix binomia A -F B, coëtfciens D longiudo. Oporteat quadrato- quadratum
abs A-i. B, adfectum adjunctione plano. plani sub cubo ex A - +. B in D lonoirudinem,
COIPONETE. EFAnGAEE CubUS abS A - F B, X in illud ducaTUE A F B- +. D, _ ColIionNEHE
effecta singularia plano. plana. Frint illa
A quadraro quadrarum, -+ A cubo in B4, - F A quadraco in B quadratum 6, - + A in B
cubum 4, t B quadearo quadcaco, t A cuboin D, i. A quadraro in B ter in D, -+ A in
B quadeacum cer in D, -F B cubo in D. Oux proprerea x qualia crune quadraco. quadrato
ab A =T B adFecto adjunctione plano. plani lub A -F B cubo, et ip (a D longicudine. Finc
 E E O R E M
seneleos plano. plani adFecti cubo adArmate.
Si Fuerine duo larera, de coefficiens longirudo: quadraro-quadrarum lateris primis
plus cubolaceris primi in latus secundum quadcuplum; plus quadraco laceris prim, in la-
teris secundi quadeatum sexruplum, plus larere primo in laceris secundi cubum quadru-
plum, plusquadeaco. quadcato lareris secundi, plus cubo laceris primi in coefficienrem
longicudinem, plus Colido sub quadraro lareris primi e larere secundo criplo in coét
siciencem longicudinem, plus solido sub larere primo ec lareris le cundi quadraro erixlo
in coefficientem longicudinem, plus cubo lareris secundi in coefficientem longicudinem,
aequacur quadraro. quadrato adsregari larerum adfecto adjunctione plano- plani sub cu.
boaderegari praedicti, ec coetticience longicudine.
Siclarus unum A, alcerum B, coefticiens longitudo D. Dico A quadrato. quadearum,
=+ A caboinB 4, T A quadraco in B quadrarum 6, + A in B cubum 4, t B quadraco
quadraro, t AcuboinD, =+ A guadraro in B in D 3, -F A in B quadearum in D3, +
B cuboin D, aequari A. t B quadraco quadrato, + Din A- t. B cubum. Ex opere muL
ciplicarionis A cubi, F A quadraro in B3, -+ A in B quadrarum 3, + B cubo, per A
t B. F 
Aliud T A E O R E M A.
Si ab eadem binomia radice componantur duo quadraro quadraca, unum pure, al
rerum adfectum adjunctione plano. plani sub ixhus radicis cubo et adscira coefficienre
longirudine. Singularia plano. plana quae compolicio adfecta ad dir compolicioni pura
CUnE
Plano planum a lateris primi cubo in coeficientem lonxicudinem.
Plano. planum a quadraro laceris primi in criplum planum quod Ac ex laterC se CUN
do in coëtticiencem lonoicudinem.
Plano. planum à latere primo in criplum solidum quod tir ex quadrato lateris secun-
di in coëfficienrem longicudinem
Plano planum à cubo laceris lecundi in coefficienrem longimdinem. Ex collarions
veriusque suppolcionis.
AdFectum.
Aclibus in B 4
A quadrarum in B quadrarum 6.
Am B cubum 4.
B quadraro quadrarum.
NV. B cubusin D.
FuruI.
A quadraco. quactacum.
ACabus in B 4.
A quadratum in B quadearum C
A in B cubum 4.
A quadrato quadracum.
L’A CubusinD
TI. A quadratum in B in D3
III. A in B quadrarum in D 3
B qlaatato. guadrarum.