Of GREATEST ATTRACTION. 204 
Acatn, from the equation rx (z*—x") = 3 m3, we have 
axnzxz+2°% — 3x°x =0, and Sycat eas and by fubfti- 
x 
tuting this yalue of * in the former equation, we have 
As this equation is homogeneous, if we make ys we will 
obtain an equation involving w only, and therefore deter- 
mining the ratio of z to x, or of AB to AD. — Subftitu- 
ting, accordingly, wz for x in the laft equation, we have 
2.—— 5 A 2 3 ye = ——— 3 3 3 a= 5 
z awe Dem o, and 1 ea ie fe) 
‘THis equation is obvioufly divifible by s— 1, and when fo 
divided, gives 2 37 = 3 u—L=0, or wpe ; whence 
Mabe iz 
ia 12° 
Tuis is the value of =, and as = rouft be lefs than unity, 
becaufe AB is greater than AD, the negative value of u, or 
Sit aN es is exeluded ; fo that «= —- 5 re = 45761 
nearly. 
N Daly 
ow w= ae = the cofine of the angle BAD, or half the 
angle of the cone ; therefore that angle = 62°. 46’ nearly. 
As 
