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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 29, page id 845634801:0045
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ENI
e e2VL L. 30
SIS POTES
D
ReSaTC.
LIDEOSTTTO XXXIV
Lcongruenter sublaterali Coefficiente longitudine, componere.
SitrdaX binomia A -] B, coetreiens sublaceralis D longirudo. Oporreat quadrarum
ab5 A - B adfectum malea plahI luB A = B, d D longicudine, Componere. Ducatue
A + BIH A. ] B =D, crunc estecta PraMa, A quadracum, + A in Bbis, + B quadracO
=A in D; = B in D. Oux ideo equabuneur quadrato abs A t. B, adfecto mulca plaiss
ex A. J BodC. L
H L O R F M A.
Si Fuerinc duo latera, una Cum rciente sublareralilongirudine: quadracum lace-
ris primi, plus plano à lacere primo in lacus secundum duplum, plus quadrato laceris se-
cundi, mirusplano a lacere primo in coetficienrem longirudinem, minus plano a larere
secundo in coefficienrem longirudinem, est equale quadraro adgregarilacerum adfecto
mulca plani lub dicto adgregaro, e coefticiente illa.
LOE OSFTTO ZZXV.
bum adfectum mulca Clidi sub latere, a radice binomia, ad (cito
congruenter (ublateras Coefficiente plano, eAfingerc.
Sic radix binomis A L B, coetticiens Cublacerale D planum. Oporrear cubum abs
A - B adFectam mulea COHaI ex A +. B in Dplanum, effingere. Componacur quadra-
cum abis A -F B, dm illud mulcarum D plano ducatur A -F B, collisanturque lingula-
ria effecta Solida. Fruneilla
ACubuS, -+ A quadrato in BCer, = + A in B quadracum ter, -+ B cubO, = A in D pla-
num, =B in D planum, e aequabuncur cubo abs A. + B acfectomulca Colidi ex A - + B
in D planum. Ftinc
T H E O R E M A.
Sifuerine duo larera, ex praecerea coefficiens sublacerale planum: cubus laceris primi,
plus Colido a quadraro laceris primi in lacus secundum eriplum, plus solido à lacere primo
in laceris se cundi quadeacum eriplum, plus cubo laceris lecundi, minus Colido a lacere pri-
moin coefficiens planum, minus Colido à lacere secundo in coefficiens planum, est eequa-
lis cubo adgregari lacerum adfecto mulea solidi sub coefticiente plano, et adgregato la-
cerum.
LR OPOSTZIO XXXVI.
lbum adfectum mulca rondi sub quadrato, a radice binomia, 2dsci-
ta ConrVenEeL Coetticienle subquadratica lonsitudine, componere.
Sic eddiX binomia A = B, cOCHICCHS Iabquadrarica D longicudo. Oporreat cubum
2b5 A. F B adFectum mulca LTb A. F B quadraro, _ D longiiudine, COmPONCTC.
LHIngACE quaaracum abs A F B, ee in illud ducarur A. F B -=D, de colligantur effecta
SratomD, = A in BbisInB, =S Guaataco in D. Duxidcirco equalia exunE A- + B
cubo, adFecto MuIa lolidrabs A - + B quadraco in D lonsicudinem. LLinc
radracum adtectum mulea plani sub lacere, à binomia radice adscica
lingularia Colida. Frunc illa
A CubuS, +. A quadeato in BFCE, - + A in B quadraTUM FeF, -+ B cubO, = A qu2-
L A E O R L. et A.
primi, plus solido a quadraro laceris primi in lacus secundum rriplum, plus Colido à lace.
ee primo in laceris secundi quadeacum criplum, plus cubo laceris secundi, minus colide
2 qua-
Situerthe duo latera, de pralerea demeens adratica longirudo: cubus latett