CAY] 



853 



[CAY 



Cayley, Arthur. 163. On SCHELLBACH'S solu- 

 tion of MALFATTI'S problem. Quart. Journ. 

 Math. I., 1857, pp. 222-226. 



164. Note on Mr. SALMON'S equation of 



the orthotomic circle. Quart. Journ. Math. I., 

 1857, pp. 242-244. 



165. Note on 



the logic of characteristics. 

 Quart. Journ. Math. I., 1857, pp. 257-259. 



166. On LAPLACE'S method for the attrac- 

 tion of ellipsoids. Quart. Journ. Math. I., 1857, 

 pp. 285-300. 



167. On the oval of DESCARTES. Quart. 

 Journ. Math. I., 1857, pp. 320-328. 



168. On the porism of the in-and-circum- 



scribed triangle. Quart. Journ. Math. I., 1857, 

 pp. 344-354. 



169. Note on JACOBI'S canonical formula? 



for disturbed motion in an elliptic orbit. Quart. 

 Journ. Math. I., 1857, pp. 355-356. 



17O. Solution of a mechanical problem. 



Quart. Journ. Math. I., 1857, pp. 405-406. 



171. Stir un theoreme d'Ap>EL. Tortolini, 

 Annali, VIII., 1857, pp. 201-203. 



172. On MACCULLAGH'S theorem of the 

 polar plane. Irish Acad. Proc. VI., 1857, pp. 

 1-1 1. 



173. On certain formulae for differentiation. 

 Roy. Soc. Proc. IX., 1857-59, pp. 93-94. 



174. On the surface which is the envelope 

 of planes through the points of an ellipsoid at 

 right angles to the radius vectors from the 

 centre. lioy. Soc. Proc. IX., 1857-59, pp. 

 171-172. 



175. On the notion of distance in analy- 

 tical geometry. Brit. Assoc. Rep. 1858 (pt. 2), 

 p. 3. 



176. Sur quelques formules pour la trans- 

 formation des integrates elliptiques. Crelle, 

 Journ. LV., 1858, pp. 15-24. 



177. Note sur la composition du nombre 



47 par rapport aux vingt-troisiemes racines de 

 1'unite. Crelle, Journ. LV., 1858, p. 192 ; 

 LVL, 1859, pp. 186-187. 



178. Theoreme sur les determinants 

 gauches. Crelle, Journ. LV., 1858, pp. 277- 



2 

 / O. 



179. On the theory of reciprocal surfaces. 



Irish Acad. Proc. VII., 1 858, pp. 20-26 ; Nat. 

 Hist. Review, V., 1858 (Proc.}, pp. 111-117. 



180. On the cubic transformation of an 



elliptic function. Phil. Mag. XV., 1858, pp. 

 363-364. 



181. On a theorem relating to hypergeo- 



metric series. Phil. Mag. XVI.. 1 858, pp. 356- 

 357. 



182. A memoir on the theory of Matrices. 



Phil. Trans. 1858, pp. 17-38. 



Cayley, Arthur. 183. A memoir on the auto- 

 morphic linear transformation of a bipartite 

 quadric function. Phil. Trans. 1858, pp. 39- 

 46. 



184. Supplementary researches on the 



partition of numbers. [1857.] Phil. Trans. 

 1858, pp. 47-52. 



185. A fourth Memoir upon Quantics. 



Phil. Trans. 1858, pp. 415-428. 



186. A fifth Memoir upon Quantics. Phil. 



Trans. 18.58, pp. 429-460. 



187. On the tangential of a cubic. Phil. 



Trans. 1858, pp. 461-464. 

 188. On the a posteriori demonstration of 



the porism of the in-and-circumscribed triangle. 



Quart. Journ. Math. II., 1858, pp. 31-38. 

 189. On certain forms of the equation of a 



conic. Quart. Journ. Math. II., 1858, pp. 44- 



48. 



190. Note on the reduction of an elliptic 



orbit to a fixed plane. Quart. Journ. Math. II., 

 1858, pp. 49-54. 



191. On Sir W. R. HAMILTON'S method 



for the problem of three or more bodies. Quart. 

 Journ. Math. II., 1858, pp. 66-73. 



192. On LAGRANGE'S solution of the pro- 

 blem of two fixed centres. Quart. Journ. Math. 

 II., 1858, pp. 76-83. 



193. Note on certain systems of circles. 



Quart. Journ. Math. II., 1858, pp. 83-88. 



194. A theorem relating to surfaces of the 



second order. Quart. Journ. Math. II., 1858, 

 pp. 140-142. 



195. Note on the " circular relation " of 

 Prof. MOBIUS. Quart. Journ. Math. II., 1858, 

 p. 162. 



196. On the determination of the value of 



a certain determinant. Quart. Journ. Math. II., 

 1858, pp. 163-166. 



197. On the sums of certain series arising 



from the equation x u -f- tfx. Quart. Journ. 

 Math. II., 1858, pp. 167-171. 



198. On the simultaneous transformation of 



two homogeneous functions of the second order. 

 Quart. Journ. Math. II., 1858, pp. 192-195. 



199. Note on a formula in finite differences. 



Quart. Journ. Math. II., 1858, pp. 198-201. 



2OO. On the system of conies which pass 



through the same four points. Quart. Journ. 

 Math. II., 1858, pp. 206-207. 



201. Note on the expansion of the true 

 anomaly. Quart. Journ. Math. II., 1858, 

 pp. 229-232. 



202. Direct investigation of the question 



discussed in the foregoing paper [on the area of 

 a comic section represented by the general tri- 

 linear equation of the second degree, by N. M. 

 FERRERS]. Quart. Journ. Math. II., 1858, pp. 

 248-253. * 



