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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 22, page id 845634801:0038
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# Lines: 51 recognised, mean confidence 0.90
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22
AD LOCTS FTCF N SPEC
dcaro. Fiar particularis ductio, ec colligancur singularia plano Colida. F. runE illa A qua-
quadrato cubus, = B quadraro. cub0. ITinc
T E E O R E A A.
Qu 0D sr ex differentia duorum lacerum in quinque sinoularia plano- plana, quibus
constac quadraco. quadrarum adgregari iplorum lacerum, lemel lumpra, requale est dif-
Ferencia quadcato. cuborum.
CONSECFARLVH.
DIFFEREAETA quadrato. cuborum h adplicetur ad difterentiam lacerum, oriuntur
quinque singularia plano. plana, quibus constar quadcato. quadrarum adoregari iplo.
rum lacerum, Lemel CumpFa. EE CONTEA.
P R OP OS FFTO XXTI.
DCR EC A F V M duorum lacerum in quinque singularia plano. pl2-
na, quibus constat quadrato. quadracum differentix iplorum semet
Cumpra, duceFC.
SEr latusunum A, alCerUM B. OPOTFEAEA .F B ducere in A quadraco. quadracum.
A cuboin B, F A quadraco in B quadrarum, = A in B cubum, 1 B quadraco-quadra-
20. Fincparricularis ductio, de collisantur singularia plano- Colida. Frune illa A quadra-
c0 cubus, i B quadrato. cubus. Flinc
T H E O R B M A.
Qu0D Erex adgregato duorum laterum in quinque lingularia plano. plana, quibus
constat quadraco quadrarum differentiae iplorum lacerum, lemel lumpra, est ae quale ad-
gregato quadraro cuborum.
GONSBCTARLNM.
A DGR E O A F V M quadraro cuborum (i adplicerur ad adgregarum larerum, orien-
rur quinque singularia plano plana, quibus constar quadraco quadratum differentiae
iplorum, lemel sumpea. Ecpermurarim.
PR OP OSTTIO ZXTTI.
DTFF F R EN FFAM duorum laterum in (ex singularia plano. solida,
quibus constat quadrato. cubus aderesati iplorum, semel sumpra, du-
CeTC.
S1T lacus majus A, minus B. OpOErCAt A B ducere in A quadraco- cubum,  A
guadraco. quadraco in B, -F A cubo in B quadratum, F A quedraro in B cubum, L A
in B qu2draro- quadrarum, = B quadraro. cubo. Finc parcicularis ductio _ colligantuE
singularia Colido Colida. Frune illa A cubo. cubus, B cubo. cub0. Hlinc
T H E O R E M A.
Ov0D tir ex differentia duorum larerum in sex lingularia plano.Colida, quibus
constar quadraro cubus adgregari iplorum lacerum, semel sumpra, est aequale difteren
Fix cubo- cuboruM.
COMSEOTAREVM.
DIFFER EKETA cubo. cuborum E adplicetur ad differentiam lacerum, orienenElC
Cngularia plano Colida, quibus constar quadraro cubus aderegari iplorum, semel sumpra.
P R O POS FFLO ZZIV.
quadraco. quadeaco in B, - - A cubo in B quadratum, - A quadraro in Bcubum, +. A i1
B quadearo quadeatum, =B quadraco cubo. Piar parricularis ductio, de colligantur lin
Sularia Colido. Colida. Frunc illa A cubo. cubus, - B cubo- cubus. FTinc
EDOREC AZYm duorum aceCX MSutarIa plano. lolad, Gu
bus constat guadrato. cubus erentix iplorum, (emel Tumpta, ducere.
ST= tatus unum A, alcerum B. OpOrreat A. F B ducere in A quadearo. cubum, -
THFO