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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 16, page id 845634801:0032
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LOCTS YTCF. N S PEC
L A EO R E N a
Aderegarum duarum magnicudinum adjunctum differentix carundem; aequale ell
duplo magnicudinis majoris.
PR OPOST TTO VII
Ctarum magnicudinum aderegaro difterenciam carundem subdu-
Sic ex A + B auterenda A -- B: relidua sic B bis. Vnde
T H E O R E M A.
Aderesarum duarum magnicudinum mulaum discremia carumdem, equale cst
duplo minoris.
P R OPOS FTFTO VTTI.
Em eadem magnicudo contrahitur, inaequali decremento, alTeFAM
ex altera subducere.
Sic ex A =-B sabducenda A- = E: residua erit E. - - B. Uud ABTeM CA CONTA-
ctionum difterenciam subnocasse. Vnde
E E E O R E M A.
Si magniudo inaquali minuatur decremento, differentia contractionum eadem
est quae conractacum.
P R OP OSTXF0 IX.
EIm eadem magnitudo protrahitur, inaquali cremento, alceram alce-
i lubducere.
Sit ex A. F C subducenda. A + B: relidua erie C- - B. Vnde
T E E O R E M A.
Si eadem maenitmdo inxquali augeatur cremento, differentia procractionum ea
dem est quxe prorractarum.
PR OBOST FFO Z.
m eadem magnicudo procrahitur, de contratritur inxequali cre.
mento e decremento, alceram alceri Cubducere.
Sic Cx A L C subducenda A -- B: FCHdua eric O I B. Vnde
T E E O R E N A.
Si eadem magniemdo prorrahatur e contrahatur inxquali cremento de decremen
co, differentia proriactae de contracta aequalis est adgregaro protractionis _E COnTa.
ctionis.
PR O P OSTFFO XI.
Orestatem puram à binomia radice componere.
Sic radix binomia A L B. Oporreat ab ea porestarem puram componere.
Primo componendum sic Ouadearum. Ouoniam igitur lacus dum ducicur in (e
Facie quadrarum; ducatur A. f B in A. F B, e collixantur singularia efecta plana:
ceune illa
CerC.
A Quadeatum.
Ht in B bi5.
 Guadcaco.
Duae ideo aequabuntur A + B quadraco.
Secundo componendus lic Cubus. Ouomiam isirur latus dum ducicur in sui qua
deacum.