( ‘30 ) 
alfo. Now (ince the Force at E pulls the Beam per- 
pendicularly downwards from the Point B, diftant 
from C the whole Length of the Brachium B D, its 
Adion downwards will not be diminhhed, but may be 
exprefs’d by 8 X B C : Whereas the Adion upwards 
againftD v/ill be half loft, byreafon of the diminifti’d 
Diftance from the Center, and is only to be exprefs’d 
, 7 BC 
by 8 X — 5 and when the Adion upwards to raife 
the Beam is fubftraded from the Adion downwards to 
deprefs it, there will ftill remain 4 Stone to pufhdown 
the Scale ; becaufe 8 x B C — 8 x — = 4 B C. Con- 
z 
fequently a Weight of 4 Stone muft be added at the 
End A to reftore the ^Equilibrium, ‘therefore a Man^ 
&c. piipmg upwards under the Beam between B 
and D, becomes heavier, Q,. E. D. On the con- 
trary, if the Scale fhould hang at F from the Point 
D, only 3 Feet from the Center of Motion C, and a 
Poll g g hinders the Scale from being pulh’d inwards 
towards C, then if a Man in this Scale F pufties ob- 
liquely againft B with the oblique Force above-men- 
tion’d; the whole Force, for the Reafons before given 
(in refolving the oblique Force into two others ading 
in Lines perpendicular to each other) will be reduc’d 
to 8 Stone, which pulhes the Beam diredly upwards 
at B, while the fame Force of 8 Stone draws it di- 
redly down at D towards F. But as C D is only equal 
to half of C B, the Force at D compar’d with that at 
B, lofes half its Adion, and therefore can only take 
off the Force of 4 Stone from the Pulh upwards at B j 
and confequently the Weight W at A will preponde- 
i rate. 
