C s 77 ] 
V. 
Writing A, B, C, D, and E, for the whole areas of the curves, whofe 
ordinates are 
X 
2 > 
12 . 
2 > 
2 ) 
tivelyj we have, by. Art. II. 
I — X 
y> and T , refpec- 
A =: the limit 0 fI-»-3(»^4- i 
i • 3- 5 (*) x 5- ”• 17 ( z ) 
■ tf" 
2Z — I 
I — X 
Z 
B = the limit of i^-3Wxy.»3.,9W J_ 
1 . 3.5 (zj x 2 - 5 - 8 ( z ) 
t 2 o 2 o 2 a o 2Z 1 (the area of the femi-circle, 
C = the limit of ‘-AAA X — = I 
3‘- S’ (=0 
z 
whofe radius is 1 » 
D 
the i; m it x JL 
I . 3 . 5 (z) X I . 4. 7 (zj 2 z 
E = the limit of X — 
I . 3 .5 (z) x i. 7 . 13 (Z) z 
A 
Now it appears by the above equations, that ^ is = the limit of 
6 x fine 6o° 
2.4. 5. 7. 8.10 (2z), 2 z , • 1 , A . TTT • 6 x fine 60 
— - — =2 — ; { x 2 ; which by Art. III. is = — 3 = 
5. 7. 11.13. 174 19 (2zJ J i2Xiinc30 
• _ - -v* .tjr. 
' r v , i i i M I % ’ 
3 1 B 
2 
O 
Therefore A is 
Vol. LVIIL 
A a 
It 
