CASTING POWERS OF EODS. 97 



throw almost as long a line with the small rod as he 

 could with the large one standing on a level with 

 the water. But standing on the same level he could 

 not do this, because with the short rod the line 

 would come into contact with the water long be- 

 fore it had reached its full length; so that upon 

 the altitude of tfye point of the rod, or the time 

 the line gets to go forward without touching the 

 water, depends the length of line that can be 

 thrown. 



Now, supposing the angler holds both rods in 

 his hand, at a distance of five feet from the ground, 

 the altitude of the point of the six-foot rod will be 

 eleven feet, and of the twelve-foot rod seventeen feet. 

 But as substances fall faster every succeeding moment, 

 instead of the times which the lines take to fall from 

 the respective rods being in the proportion of eleven 

 to seventeen, they will be nearly in the proportion 

 of seven to nine ; and since the length of line that 

 can be thrown depends entirely upon the length of 

 time it gets to go forward, seven to nine will also be 

 nearly the proportion of the lengths of line that can 

 be thrown. Now, if twenty-one feet is the utmost 

 length of line that the small rod will throw, the 

 large one will throw twenty-seven, or six feet more. 

 Besides this, there are six feet additional length of 

 rod. But as both rod and line are at an angle with 

 the water, the whole gain will only be about nine 

 feet additional command of water. Taking every- 

 thing into account, the water commanded by the 



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