THIRD ELLIPTIC INTKUKAL AND THK KLMl'SOTOMIC PROBLEM. 267 



the roots of which are 



-2ra> 



the roots of which are derived from the preceding, by the substitute 



/ > 



P+ I. 



Thence, the contour of the period parallelogram is divided into segments of },w, and 

 a similar table of division-values for /JL = 14 can In- constructed for the corresponding 

 regions of p and compared with the results of (}ORIN<; and MULLKR; tins must be 

 reserved for the present. 



The, associated r j)arameters of GfKRMTKK (' Math. Ann.,' I 4) have simple numerical 

 values : 



T T T - T 



r is J r i: -- '> T :> :i> T c, - -i- i - > ':; -27' -: i -2* 



The parametei' ;, employed in ij !) ('!). is ^iven in terms of /> hy the relation 



thence //,, //., in ( J ((i) can l>e determined, and T h T., in factors, as required tor the 

 Second Stage of p. = 14, in terms of ft and x 'R 



Changing from the variable t to y, in - J8 ( 1 ). \\>- find 



I -, . .7 ' v' / 



, _ \ M '/// 



1 1 1 T I 



c . ,,c - 2K3ErLLd^/E 



7 '" + I-* 



2 M 2 



