'.MI-MO. 



gml* ii taken as the weight of the clement &. I !?.,-,-. 

 3), 



. \MIM.I 



1. 1 won catenary shew that the weight ot 



.vcon the lowest nd any other point ia the 



geometrical mean between the sum and difference of the 

 tensions at the two points. 



1. If a and are the inclinations to the horizon of the 

 tans- of a portion of a common catenary, 



and / th- length of ihc p< -w that the height of one 



y above the other is 



the ] > supposed to be all on the same side of the 



lowest point 



rm heavy chain 110 feet long is suspended from 

 two ] i the same horizontal plane 108 feet asu 



nion at the lowest point is 1.477 times the 

 irly. 



I suspended from two 



i the same horizontal pla distance 



I points and c the length of chain whose 



;it the lowest point ; shew that 



when tension at the points of suspension is the 



least possible that i* equal to the weight of a length 



.ind / and c are determined by 



