MIS. i.i.i. \xi:..rs rm..,i:K\is. 1? n 



Fm&t be always normal r 



c y-0. ' of RSi is also normal to t!,.- 



!'* in th* 



'<f to the curve. This we know to be a property 

 urn <>r inii.iiiiu: that can lie 



a surface between 



fluriace and acted on only 

 :nals to the surface 



at t): of applicnt of maximum 



i that can Ixj dr.i :ic surface between 



.:s of its contact with the surface. 

 v is always normal to the surface, it follows 

 from /' is constant 



.ill now give some miscellaneous theorems con- 



i with the Mil'j'-rt t.l" : :igS. 



I i. lu abscissa of the centre of gravity of an 



ns*i.::!.--l { >rti< :i Ol \v.\\ String at n -t. .Mij-jr-.-in^ it- rii.i* tj\.-.!. 

 and gravity t: -rce, 



ay be i ol ordinary process of intcgra- 



itg manner. Imagine any 

 bccomr 



ami the tensions at tho ends; these 



tensions act in the directions of the tangents at the ends. 

 6 centre of gravity of any portion must be vertically 



rscction mgents at the < 



ion. 



II Suppose ii ' is uniform, and 



:<>rcc is : I varies as the *** power of the 



iius we may put F - /ir* ; therefore 



In tl.- particular cnse in \\hirh the constant here introduced 

 is zero we can easily con. e solution c; 



V 



1C 1 



