42 Dearborn’s gold standard Balance. 
latter reduced to the co-sine of the angle g 6a; hence the falling arm 
of the beam obtains the power of a longer lever, while the power of 
that, which rises, is at the same moment reduced in a greater 
proportion. As this inequality of power increases by multiplying 
the weights in the scales, it follows that the beam operates very dif- 
ferently when lightly or heavily loaded, and that it can be correct only 
when the scales are loaded with that precise quantity, which shall 
give a power to the longer lever but just inferior to the power of 
gravity, which draws the beam toa level. It is further evident by 
Fig. 8, that if the points of suspension were placed below the centre 
of motion, the evil would be still greater, as the rising arm would 
increase in eh) Mibu. He, other mould be Pied ; in this state a 
pe ae ‘ate. <= 
turns 
points of suspension pie ee. coc ona xine ih ake centre of 
motion, or not so far out of that line as that the beam will operate 
differently with different weights. ¥et even in this construction a 
natural evil arises, which cooperates with the first of the before men- 
tioned artificial evils to obstruct the easy motion of a beam ; this if 
shall next attempt to Geacribe- rn 
“The. ‘natural evil, ab bove alluded to, is “the fexton. or bending of 
the beam when considerably loaded, whereby the points. of sus- 
pension are drawn downward below the centre of motion; - this 
operates powerfully against the turning of the beam, and unites 
its effect with the fixed centre of gravity, to prevent an easy motion; 
hence arises the principal cause of the difficulty, with which a beam 
turns when heavily loaded; not from the friction of the parts alone, 
as is s commonly, though erroneously, supposed. 
<cDlsennabeation. of ieecobinve fetitiers? aie 
_IN the line m no, Fig. 8,2 is the cate of Snthnaie MoE 
it ore f 
