EXAMPLES. l'7 



yatem of heavy particle* has 

 iily one, deduce the property that 



opposite 



U on a square base: given the co-or- 



o.-orlinutr* of two opposite 

 co-ordinates of the c. 



6. ADC i* a t: ]>oints of 



ts sides ; she" Vfe* of ABC 



centre ot -crilied in /'. 



A piece of wire is formed into a triangle; fm-1 

 listance of the centre of gravity from each ot the sidcf , and 

 y, s be the three distances, and r the radius 



fjr + r)-r*-o. 



8. If the centre of gravity of a four-sided figure coir 



s angular points, shew that the distances of 

 the opposite angular point from the straight 

 two angular points are as 1 to 



w that t trc of gravity of a ri 



I isosceles triangle, and the squares described on the 



(wo equal sides, is at a distance yj a from the point in 

 those sides meet, a brin- tin- length of one of them. 



t"lli \vin'_r r M f'r t!n c.'iitrc of 



y of any quadrilateral. < the intersection of 



tagonals, and /' the iniddlr point of the strai 



ihldlc points; draw the straight line 

 roduce it making /V/- J/ shall be 



of gravity rcquii 





11. A tri ancle ABC is successively suspended from 

 ingles A and 7f, and tin- two positions of any 

 angles to each other ; shew that 



