200 Of th SOLIDS 
— 47 a3, The fegment, therefore, intercepted between B and 
7 2 = & 
C, the line AC being x, is r a3 aig ai xi tty, 
3 
Tuis alfo gives ~ a3, for the content of the whole folid, 
when x = 0, the fame value that was found by another me- 
thod at § v1. ; 
Now, if we fuppofe x to be = AA’, and to be gi- 
ven = 4, the folid content of the fegment becomes 
dea adele Pai ei + 763, which muft be made equal to the 
15 5 3 
given folidity which we fhall fuppofe = m3, and from this 
equation a, which is yet unknown, is to be determined. If, 
then, for a? we put u, we have z (it Pe ais a“ ot ") 
= m3, or + “. — 3)bF o eS 2 and Pee yi 
15 5 7 3 4 
290 SMG) SAE SG 3 
ye 47 Ten os 
Tue fimpleft way of refolving this equation, would. be 
by the rule of falfe pofition. In fome particular cafes, it 
may be refolved more eafily; thus, if aot 
—155:=0 
ig ¢ 
FOP RP aS and uw? <= 2 b3, that is a? = OOF Oras 
4 4 4+ 
Oy — 5 ee 
bx (3) ve 
IX. 
