[ 4^7 ] 
quo id fiat, pone a + Vb—z 1 , 
& a — Vb — v*--, 
habebis igitur hasbinas /Equationes novas, 
.s 3 + i > 3 = 2 a 
z -f- V — z X 
Sequitur ergo fore 
z 3 -j- v' : 
a 
x 
z-\-v 
C~A Z^ ~ f- *c^ r „ . . 
i,ed ~m -~zz — zv-f-vv, eft igitur zz — zv 
z-j- v 1 ’ s 
a 
+ vv — -i eft praterea zz~\~zzv-j-vv = 4 -xx. 
X 
Sume diffcrentiam harum iEquationum, habebis 
3 zv = 4 xx — - 5 fed v* = aa — bs eft igitur zv 
x 
3 _ 
= y^ — bs quod ft pofueris — m, inde fiet 3 m 
“ 4 xX ~ a , five 4 X S — smx — a, qux eft ipfifllma 
x 
yEquatio, quae ante fe protulerat, & res eodem recidct 
in cafu quocunque Radicaiitatis. 
Si ergo tibi fit tentandum, an poftit Expreflio 
71 _ 
V ~V b ad fimpliciorem reduci; pone ix 
3 _ * _ 
— </a J r'/b -yV [a — Vbh pone etiam Vaa — fr-m, 
atqu c f = xx — ms & erit expreflio redu&a x-j-yy, 
fi modo hxc poflint fieri per quantitates integras aut 
faltem rationales. 
Vcrum ne quidem fint hx quantitates integral ant 
rationales, Regula tamen ; quam tradidimus^ exit utilis 
foh 
