vii 
CONTENTS. 
[An Asterisk means that the paper is not printed in full.] 
PAGE 
630. On an expression for 1 + sin (2p-\-l)u in terms of sin u . . 1 
Messenger of Mathematics, t. v. (1876), pp. 7, 8 
631. Synopsis of the theory of equations ...... 3 
Messenger of Mathematics, t. v. (1876), pp. 39—49 
632. On Aronhold's integration-formula . . . . . . 12 
Messenger of Mathematics, t. v. (1876), pp. 88—90 
'“'633. Note on Mr. Martins paper “ On the integrals of some diffe 
rentials” .......... 15 
Messenger of Mathematics, t. v. (1876), p. 163 
634. Theorems in trigonometry and on partitions . . . . 16 
Messenger of Mathematics, t. v. (1876), p. 164, p. 188 
635. Note on the demonstration of Clairaut's theorem . . . 17 
Messenger of Mathematics, t. v. (1876), pp. 166, 167 
636. On the theory of the singular solutions of differential equations 
of the first order . . . . . . . . . 19 
Messenger of Mathematics, t. vi. (1877), pp. 23—27 
637. On a differential equation in the theory of elliptic functions . 24 
Messenger of Mathematics, t. vi. (1877), p. 29 
638. Oyi a q-formula leading to an expression for E 1 . . . 25 
Messenger of Mathematics, t. vi. (1877), pp. 63—66 
C. X. &