I.AXCI. : i 



terminet the position of equilibrium. The M 

 riiontality * .rtj equal is 



/ making the arnu < 



the second we obtcrre that for a given difference of P 



tan i ; and far 

 u value of tanl the sensibility i greater the 



ncc of P and Q is : hence !* n U a 

 of the sensibility: and therefore the second requisite is fuU 

 bj making (P+0 + *5) ;+ II' J at small at poasible. 



o stability i p greater the moment of the 



.<s equilibrium when it is de- 

 stroyed. Now this moment is 



(/-?; cot 4 

 >r suppoting Pand <? equal it is 



knee to satisfy the third requisite, this moat be 

 he aa possible. This U, in part, at variance 



la large alt. 



increasing the distances c : 



centre of gravity of the beam, aad by Uagthen 

 the arms. 



t most be remarked that the sensibility of a balance it of 

 xHlance than the nt* .-* the eye can jttdga 



accurately whether the index of the beam make* equal 

 on each side of the vertical 



of rent would be horizontal : if th it be not the 

 e weights moat be altered till the oaallationt are 

 ly equal. 



ther kind of balance it that in which the arms 

 ual, and the same weight is need to wcish dUbrenl 

 tsbyvn point of support, an 



from tlie fulcrum by meant of a graduated 

 common steelyard it 



