x66 ASTRONOMICAL Anpi V 
—. then the root will ber--2; and, by invglution. : rib 3p? e YS 
- gre* -]- eee—a. » By, UR ree and making 4 the other terms 
equal to a, we {hall have r? sre darem a; and .by fub- 
c 
traction 37e* + 37e? = a—r? ; and by divifion é e "pre mos y 
and by compleating the (quare, we fhall have: e^ "der re he € 
. 
? 
Lam deh T. Vai ens e by extracting the fquare root of both wt 
“ar 4 TUN ety ——) 
it will give e 4- DI eir ; whence e=——+ WE 
I27r 
~and — theaddition of 7 on dest fide, it will ber--e—r— + 
| Je i+ J M E rom tess comes a, rule; 
12r 
— Take the neareft root to T frit a nf otherrefolvend; be 
lost more or lefs thai juft, and füpply it with as many-cyphersas 
“there are remaining periods in’ the refolverid; -and. call-it the'«f- 
“famed root, "Then multiply the-given refolvend-by 4.; from 
` the produét fübtra& the cube of the:affumed root ; divide the 
ax 
ac 
E. 
de 
a by 12 times the affumed: root, ‘and extract the {quare 
root of the quotient. To the fquare.root, thus found, -add-enc 
— of the affumed root, and it will give the cube root.cor- 
"-fedted-; which may be repeated sand carried to. what. exactnefs 
«pem wil to have it = diuum faking the laft root for the 
..,aflumed root. - ; Pele ^ i T "0^ 469 
ML 
Take an example or two.—Let it be ead ‘to extraétthe 
“eube root from 735051274. "Here 9 is the neareft reioti 7 38 and 
ness s than jut; c Patt oit ^ 
Mes uir ced iab f wae n Pole 5. st 
ci eroa fs ad ac 135051274 
bas « abe cone "tusdoshiupebt stt hos: e est ae 
rod ’ 
T 
Ag & 
