3 <J DE EXTRACTIONE RADICVM 



Quod fi iam habeatur binomium A _h B ex quo radi- 



x ■+■ y 



cem poteftatis n extrahi oporteat , quae fit rr -p j 

 atque ftcto p ~ A BB , erit primo XX— yy~~~\f. Deinde 

 cum fit ■ ^ , 7 • = V(A-f-B/-f-V (A-B/fiet 



yp 



xx-\-yyzzz Vp(AA-BB). cof.* A fin. --j—yr, 



feu r.v-f-jjyzr: r cof. *A fin. (u Jn) y _, . Porro 



eft: t^^y^A-hBf-V^A-B) 1 vndcfic aj^rrrV 



yp 



-i .fin.* A.fin .( AA J B Bjy_ 7- Sit arcus cuius finuscft ~~~ : ~~~~zmi~~~~~~ 



vel cuius cof. — ^^— h"jT > Sit inquam hic arcus rr a : 



fietque x -f- -yzzz V r( cof. J- -f-V — i . fin. £ ) ct .v —7 



rr Vr(cof. ^ — V — 1 . fm. |). Ilinc porro reperietur 



_ Vr(i-r-cof. J ) -f- Vr(- 1 -f-cof. | ) 

 *-*-.,__ : — --— — ~ 



* -+- r .r -f- v 



atque 3 _r -— — 



y' p V r : V( AA-BB) 



V(i-4-cof.£-)-hy(- i-4-cof g ) 



' ~~ ~ n • -kX lllS 



V -— 



' AA — iifl 



elicitur binomii A -f- B rn^ix poteftatis n rr 

 V (i-4-cof. j) -f-V - 1 -f-cof. ^ ) 



_ri ^ /1 



y 



itaquc 



A A — B B 



Cum autem fit V( 1 -f-cof J- ) rr V_.cof. ~ ct V(-i 



-4- cof. 



