WAL] 



1191 



[WAL 



Walton, William. 69. On certain transforma- 

 tions in the calculus of operations. [1863.] 

 Quart. Journ. Math. VIII., 1867, pp. 222-227. 



70. Note on the lunar theory. [1866.] 



Quart. Journ. Math. VHL, 1867, pp. 297- 



301. 

 71. On the symbol of 



d 



operation x _ 



[1866.] Quart. Journ. Math. IX., 1868, pp. 

 18-22. 



72. On biangular coordinates. [1866.] 



Quart. Journ. Math. IX., 1868, pp. 47-56. 



73. On the equilibrium of an aggregation 



of spherules. [1867.] Quart. Journ. Math. 

 IX., 1868, pp. 76-82. 



74. On an equation in finite differences. 



[1867.] Quart. Journ. Math. IX., 1868, pp. 

 108-111. 



75. On a certain envelope. [1867.] 



Quart. Journ. Math. IX., 1868, pp. 142-146. 



76. On the debility of large animals and 

 trees. [1866.] Quart. Journ. Math. IX., 

 1868, pp. 179-184. 



77. Note on the lunar theory. [1867.] 



Quart. Journ. Math. IX., 1868, pp. 226-230. 



78. A demonstration of a proposition in 



EUCLID'S Elements. [1832.] Quart. Journ. 

 Math. IX., 1868, pp. 241-242. 



79. On a certain locus. [1867.] Quart. 



Journ. Math. IX., 1868, pp. 275-277. 



8O. Note on trigonic coordinates. Quart. 



Journ. Math. IX., 1868, pp. 340-343. 



81. Note on the operation e* 



dx 



Quart. 



Journ. Math. IX., 1868, pp. 355-357. 



82. On a problem in the calculus of varia- 

 tions. Quart. Journ. Math. X., 1870, pp. 72- 



78. 



83. On the expression of a certain function 



in the form of a series. [1868.] Quart. Journ. 

 Math. X., 1870, pp. 87-93. 



84. On a theorem on the resistance of fluids. 



[1868.] Quart. Journ. Math. X., 1870, pp. 122- 

 124. 



85. On a property of surfaces of the second 



degree. [1869.] Quart. Journ. Math. X., 

 1870, pp. 167-170. 



86. A demonstration of the expression 

 for the number of homogeneous products of n 

 things of r dimensions. [1869.] Quart. Journ. 

 Math. X., 1870, pp. 219-220. 



87. On an equation of mixed differences. 



[1869.] Quart, Jouru. Math. X., 1870, pp. 

 248-253. 



88. On a theorem in maxima and minima. 



[1869.] Quart. Journ. Math. X., 1870, pp. 

 253-262. 



Walton, William. 89. On the solid of least 

 resistance. [1869.] Quart. Journ. Math. X., 



1870, pp. 344-346. 



90. On the relation between the angular 



velocity about and the angular velocity of the in- 

 stantaneous axis of a body revolving sponta- 

 neously about a fixed point, and on the axes of 

 greatest and least mobility. [1869.] Quart. 

 Journ. Math. XI., 1871, pp. 1-14. 



91. On the stress exerted by a rigid body 



on a fixed point rigidly connected with the body, 

 which is revolving spontaneously about the point. 

 [1870.] Quart. Journ. Math. XI., 1871, pp. 68- 

 75. 



92. Note on rhizic curves. Quart. Journ. 



Math. XL, 1871, pp. 91-98. 



93. On axes of lug and axes of kick. 



[1870.] Quart. Journ. Math. XL, 1871, pp. 

 114-122. 



94. A demonstration of a property of ellip- 

 tic functions. [1870.] Quart. Journ. Math. 

 XL, 1871, pp. 177-178. 



95. A demonstration that every equation 



has a root. [1869.] Quart. Journ. Math. XL, 



1871, pp. 178-182. 



96. On the spoke asymptotes of rhizic 



cwves. [1870.] Quart. Journ. Math. XL. 

 1871, pp. 200-202. 



97. On the transformation of two simul- 

 taneous equations. Quart. Journ. Math. XI., 

 1871, pp. 262-266. 



98. On the curvature of rhizic curves at 



multiple points. Quart. Journ. Math. XL, 1871, 

 pp. 274-281. 



99. On certain definite integrals. Quart. 

 Jouru. Math. XL, 1871, pp. 289-293. 



1OO. Note on sin oo and cos oo . Quart. 

 Journ. Math. XL, 1871, pp. 326-327. 



1O1. On a pair of definite integrals. 

 Quart. Journ. Math. XL, 1871, pp. 373-375. 



102. On the evaluation of the definite 



y'jOO ~A 1 ,/f, 



integral / - , where a<l. [1871.] 

 J 1 + x 



Quarterly Journ. Math. XII., 1873, pp. 39- 

 40. 



103. On the connection between coriaia 

 theorems in definite integrals. [1872.] Quar- 

 terly Journ. Math. XII., 1873, pp. 126-129. 



1O4. On the expansion of functions in 

 trigonometrical series. [1871.] Quarterly 

 Journ. Math. XIL, 1873, pp. 146-148. 



105. On the expression for cosines of mul- 

 tiple angles in terms of powers of cosines, and 

 conversely. [1872.] Quarterly Journ. Math. 

 XIL, 1873/pp. 168-171. 



106. On the evaluation of a pair of definite 

 integrals. Quarterly Journ. Math. XIL, 1873, 

 pp. 181-184. 



