and Strength of Materials. 275 
AB, the base, 
hi, the distance of the “in iui 
line from the top Trt 
The solid formed by the revo- g 
tion of EFCD round EF \ 7 
Solid formed by revolution ) 
of EFBA round BF f ~ 
and the rest as before. 
We have then Hk: AB:: Hi: EF 
Or }acti) 01: a—d pa: (a—d+2) = 
And Hk: AB:: Hh: DC 
or a: b::a—d: = (a—d) = DC. 
S’, 
Whence El=1(EF—DC) =1(2(a_dta)— “ (ad) — 
ba. b h 
5,3 andnE=3(AB—EF)=} (b— — (a—d-+2)) => 
(d—a2), Dl and nA being parallel to Hk. 
But Sis =a cylinder whose length is ln 
(= DC) and the radius of whose base is hi, + 
twice the content of acone formed by the trian- 
gle EID revolving round El. Now, by Mensu- 
ration, the content of the cylinder is ~p x 
(Dl)? x Im = pa* x = (ad) M. —_ anid 
that of the cone is = p (D1)*x + El= p2’*x 
bx air pb(a—d)x* 
me aeamant 
a se ; S, therefore = 
a __pb yeas =). 
“Tn like manner § = a cylinder whose 
length is AB and the radius of whose base is 
