170 ASTRONOMICAL. AnD 
12309 iem 3 75 ( 4oo=affumed root. 
Bron tmi 
soon} =— 3072000000200 o 
3 
i a Veo Su 
400x80— 512 (6075000 ( 13233 ( 115 
Mus I— przem: EL 3090 
TT ; d e 
ieggs 4:5 I 32 — | 415 = root. 
1536 21 
— pou ms — 
i196 1 1133 
1024 à 1125 
x E cider t: c EM 
1720 s 8 
1841 
: 3536 
395 
One cafe being fufficient to exemplify the rule, I fhall not 
trouble you with a fecond. The next is the fecond furfolid, 
or feyenth power : And let the fame letters ftand for the fame 
things, as in the preceding powers ; and then we {hall have 7? 
+ 7r°e + 2ir*e* +4 35r* 8" 4+ 45r2* - 21765 + 7re* +e? 
—.4 ; and by negleéting all the terms that contain a greater 
power of ethan e*, and making the remainder equal to a, there 
will arife r? + 7r*ed- 217%? 22; and 7r°e4- 2ir e* = am 
' ; and by divifion e* + 3 irm, and by compleating 
the quare, e*- tre 5 c mr enemy :* By extract- 
ing the fquare root of "iod dist of the equation, there will 
arife e-L- pre J BEE" and e— — arp Vee" And 
furthermore, if r be ‘added to both fides of the equation, there 
wilt had r peores ok VE acd n : 
-. * See note. p. 166. 
