8 Do&or hutton’s Determination of the 
PutnOWBI=tf, AI — b) IC = C, AB-fl', BC=<?, AC=g— 
b + c, and pg - x, the altitude of the point p above the 
bottom. Alfo let j = the fine of the indefinitely fmall 
angle of thecuneustorad.i ; xw<^.q ^ =Va ^ g ^ —^abgx+d ^ x ^ . 
Then by Art. 3, the attraction 
of 
BD 
a — x 
• J ) \J y 
PBD IS S . PD . ^ = Sb X — r-> 
l>r d 
‘ PG t * 
PHA IS S . PH . — = Sb x — . 
. i A d • 
By Art. 4, the attraction 
l r • t , PF + PC 1-.1 —• -j- qp 
PFCG IS S . PG X n. 1. -J - — = SX X h. I. — IU 
of 
PG 
ax 
• v i PH 4 - PA 1 ■, b + d 
PGAH IS S . PG X il. 1. — — — = SX X h. 1. , 
r G a 
By Art. 5, the attraction of efc is 
EF . FC PE . EF , , EC 2 + EC . PC + PE . EF 
J - . — x PC - PE — — X h. 1, 
EC 
EC 
PE . EC + PE . EF 
- x qq- g .a — x - gc 
a — x 
e 
s . 
Y aC S “1“ e( l < l -p aaX — hex 
g . c + e , a — x 
Laftly by Art. 6, the attraction of bde is 
BD.DE 
BE 2 
„ , PE.DE , , BE 2 + BE . BP — PE . DE 
x PB — PE + — X h. 1 . 
BE 
PE . BE - PE . DE 
= ~.a-xxd-p- + 
c? i -t ee •+• de — • 
-xh.L 
e e g _ C g 
C S 
Thefe quantities being collected together with their 
proper figns, and contracted, we have 
s x < 
ab 
I +c - 
ad—qq — dx 
+ x x hyp. log. 
+ St — 
b 4“ d • x 
ccg. a 
h. 1. 
eg 4- de — cg . aeg 4- eqq ~\ -ax — bex 
gg . ee — cc . a — x 
for the whole attraction in the direction pe. 
2 
9. Having 
