372 TRACING OF CURVES. 



If the three series be multiplied together we have 



Hence y = x 3a 



and y = x + 3a 



are asymptotes. 



Also from (1) x = 3a 



is an asymptote. 



From (1) and (2) we have the following results, confining 

 ourselves to the positive values of y. 



When ic=0, 



From x = to x = a, y is possible. 

 When x = a, y = 0, 



