282 PROFESSOR A. G. GREENHILL ON THE 



results obtained by putting 



m(l - m)(l 3m + 3m 2 ) 1 3m + 3m 2 ,, 



s (to) s (6v) = 0, a = -j s\ > P == T~ a \ n /- 



(1 2m) (1 2m + 2m 2 ) 1 2m + 2m 2 



M = m =' l (6). 



1 -a 



Treated by the trisection of/x = 4, putting y = in equation (8), 14, 



3/4 + (l -- 8x) t A + Gx 2 f- - tf* = (7), 



and putting 



'=: 



T > ~S. r - ' \h (ll) ' 



and 



( 



so that 



and 1) ix the equivalent of y in KLEIN -FmCKE, ' Modulf'unctionen,' 1, p. G88, while 



x = - T lg - 2 (12), 



2r (i + 8 == (T |S + 2) ;i = y- = (T, S - 3)- 



and GTEKSTER'S 



3G 3G 



Also 



so that 



6 = ^4-1 + (17). 



In KIEPERT'S notation, 'Math. Ann.,' 32, p. 104, 



f i = 1 - , &c. (18). 



Putting 



A = (14- 2 )(l44a + 



the section values are shown in the table : 



