[ la* 3 
fuftains it, as thefquare of radius, to a rectangle under 
the fine of the angle which the directions of the re- 
Ming force make with the fides of the wedge, and the 
line of half the vertical angle of the wedge. Now, 
lince the force of the wedge is exerted in lines perpen- 
dicular to the furface of its fides, thefe refilling bo- 
dies will naturally recede in that direction; as we 
fuppofe them, in this cafe, free to move in any direction, 
whatever. 
CASE III. 
Let us fuppofe laftly, that the refilling bodies are 
confined, by planes put under them, to recede in the 
directions K E, L F, then the power which drives 
the wedge and the refilling force will be in aequilibrio, 
when the former is to the latter, as the fine of half 
the vertical angle of the wedge, to the fine of the 
angle E K G, F L H, that each fide of the wedge 
makes with the direction in which the refilling force 
is confined to recede. For in the firll cafe it was 
proved that the power P, which drives the wedge, 
is to the force with which It piuuudcs bodies in direc- 
tions perpendicular to the fides, as the fine of half the 
vertical angle of the wedge to radius. Let then 
the line G E, which is perpendicular to the fide A B, 
exprefs the force with which the power P protrudes 
the refilling bodies in the directions G E, and H F, 
and let this force be refolved into two forces, exprefied 
by the lines G O, and O E, one perpendicular and 
the other parallel to K E, the direction in which the 
refilling bodies are confined to move; then the force 
G O is loft, and only O E has effeCt in protruding the 
Vol. LIII. S refilling 
