46 Proceedings of the Royal Irish Academy. 



The twelve points of intersection, then; of the tangents from Q 

 with the corresponding tangents from Q' lie on a conic through Q 

 and Q'. 



As the treatment of this quintic is so similar to that of the 

 nninodal quartic, previonsly dealt with, it is only necessary to 

 indicate how this curve may be suhinitted to the same manner of 

 investigation with many similar results. We give a figure of the 

 curve on page 45. 



