2 5 z 
Mr. Morgan on 
, 1 _ AB + 2ABC + - - - AB - ABC 
T u x a 
b * 
m s . TN^PNC 
x ~ AP - APC 
TAa, x 
I C m ay be obferved, that the firft four feries are alfo = E, 
. HF 
tnd therefore if this value be fubftituted inftead of - , &c 
the general rule will become = E + S into- — ^ x HE — HBC -f — 
— =TT- = r — 1 . AB — ABC |S . AF — Ab'C m . AP-APC , r 
xHF-BPC+ - 4- n- — - + — 
bo 
bbr 
ur 
- .'ISiNC-t- — xtN -PNC Suppofing the three 
m 
^ I | O Q 
lives to be equal, the firft of thefe rules will becomes— 
* .-r^_ KK _ 1 * CC - CCC - 
6 cc y 
.CK-CCK d . CT — CCT 
be 
ber 
CC-f 2CCC + dd . i i — and the fecond =: 
y— 1 . V-CC 
6 . cc . r 
- 1 CC CCC 
. CK— CCk x* 
. KK - CCK , d . CT — CCT 
be 
bcc 
ber 
^Lill h_hi : and alfo the rule denoting the value (when 
beer 
either B or C are the eldeft of the three lives) will become = 
1 . CC — CCC 
ur 
+ - x CK - CCK + 
— x KK - CKK- - x 
3 • cc c 
CT — CCT dd. 
—T x i T - ^ i f . Let this laft expreflion be called 
3 f ■ y c , . 
Q and compared with the firft of the preceding expreflions. In 
this cafe we (hall have 
i+CC CC-j-aCCC CC-CCC Q 
2 r 
r-i . CC-C 'C 
S 
- X 
3 : 
^ — Q, from which Q may be eafily founds 
^Zi_- ' * Again ; let the fame expreflion; denoted 
