CAY] 



358 



[CAY 



Cayley, Arthur. 458. On the porism of the in- 

 and- circumscribed polygonj and the (2, 2) 

 correspondence of points on a conic. Quart. 

 Journ. Math. XI., 1871, pp. 83-91. 



459. On a problem of elimination. Quart. 



Journ. Math. XL, 1871, pp. 99-101. 



460. Note on a system of algebraical equa- 

 tions. Quart. Journ. Math. XL, 1871, pp. 132- 

 133. 



461. On cvolutes and parallel curves. 



Quart. Journ. Math. XL, 1871, pp. 183-200. 



462. Example of a special discriminant. 



Quart. Journ. Math. XL, 1871, pp. 211-213. 



463. On the envelope of a certain quadric 



surface. Quart. Journ. Math- XL, 1871, pp. 

 244-246. 



464. Tables of the binary cubic forms for 



the negative determinants, ^0 (Mod. 4), from 

 —4 to — 400 ; and ^1 (Mod. 4), from —3 to 

 — 99 ; and for five iiTegular negative determi- 

 nants. Quart. Journ. Math. XL, 1871, pp. 246- 

 261. 



465. Note on the transformation of two 



simultaneous equations. Quart. Journ. Math. 

 XL, 1871, pp. 266-267. 



466. Note on the calculus of logic. Quart. 



Journ. Math. XL, 1871, pp. 282-283. 



467. On the inversion of a quadric surface. 



Quart. Journ. Math. XL, 1871, pp. 283-288. 



468. On the theory of the curve and torse. 



Quart. Journ. Math. XL, 1871, pp. 294-317. 



— — 469. On a theorem relating to eight points 

 on a conic. Quart. Journ. Math. XL, 1871, pp. 

 344-346. 



470. On the surfaces divisible into squares 



by their curves of curvature. [1872.] London, 

 Math. Soc. Proc. IV., 1871-73, pp. 8-9, 120- 

 121. 



471. On the surfaces each the Locus of the 



vertex of a cone which passes through m given 

 points and touches 6—m given lines. [1872.] 

 London, Math. Soc. Proc. IV., 1871-73, pp. 

 11-47. 



472. On the mechanical description of cer- 

 tain sextic curves. [1872.] London, Math. 

 Soc. Proc. IV., 1871-73, pp. 105-111. 



473. On the mechanical description of a 



cubic surface. [1872.] London, Math. Soc. 

 Proc. IV., 1871-73, pp. 175-178. 



474. On the mechanical description of 



certain quartic curves by a modified oval chuck. 

 [1872.] London, Math. Soc. Proc. IV., 1871- 

 73, pp. 186-190. 



475. On geodesic lines, in particular those 



of a quadric surface. [1872.] London, Math. 

 Soc. Proc. IV., 1871-73, pp. 191-211, 368-380. 



476. Plan of a curve-tracing apparatus. 



[1873.] London, Math. Soc. Proc. IV., 1871- 

 73, pp. 345-347. 



Cayley, Arthur. 477. On bicursal curves. [1873.] 

 London, Math. Soc. Proc. IV., 1871-73, pp. 

 347-352. 



478. On the geodesic lines on an ellipsoid. 



[1871.] Astron. Soc. Mem. XXXIX., 1872, 

 pp. 31-53 ; Astron. Soc. Month. Not. XXXIl., 

 1872, pp. 55-56. 



— — 479. The second part of a memoir on the 

 development of the disturbing function in the 

 lunar and planetary theories. Astron. Soc. 

 Mem. XXXIX., 1872, pp. 55-74. 



480. On the expression of Delauxay's 



/, g, h, in terms of his finally adopted Constants. 

 [1871.] Astron. Soc. Month. Not. XXXIL, 

 1872, pp. 8-16. 



481, On the expression of M. Delaunay's 



h-\-g in terms of his finally adopted Constants. 

 Astron. Soc. Month. Not. XXXIL. 1872, p. 

 74. ^ 



— 482. Note on a pair of differential equa- 

 tions in the Lunar Theory. [1871.] Astron. 

 Soc. Month. Not. XXXIL, 1872, pp. 31-32, 

 201-206. 



483. On the variations of the position of 



the orbit in the Planetary Theory. Astron. 

 Soc. Month. Not. XXXIL, 1872, pp. 206- 

 211. 



- 484. The second part of a memoir on the 

 development of the disturbing function in the 

 Lunar and Planetary Theories. Astron. Soc. 

 Month. Not. XXXIL, 1872, pp. 233-234. 



485. On the extraction of the square root 



of a matrix of the third order. Edinburgh, Roy. 

 Soc. Proc. VIL, 1872, pp. 675-682. 



486. On a theorem in covariants. Ma- 



them. Annal. V., 1872, pp. 625-629. 



487. On the non-Euclidian geometry. 



Mathem. Annal. V., 1872, pp. 630-634. 



488. Note on the problem of envelopes. 



Messenger of Math. L, 1872, pp. 3-4. 



— 489. Note on Lagi.ange's demonstration 

 of Taylor's theorem. Messenger of Math. L, 

 1872, pp. 22-24, 105-106, 137. 



— 490. On a property of the torse circum- 

 scribed about tw^o quadric surfaces. Messenger 

 of Math. I., 1872, pp. 111-112. 



— 491. On the reciprocal of a certain equa- 

 tion of a conic- Messenger of Math. I., 1872, 

 pp. 120-121. 



— 492. On an identity in spherical trigono- 

 metry. Messenger of Math. L, 1872, p. 145. 



— 493. On a penultimate quartic curve. 

 Messenger of Math. I., 1872, pp. 178-180. 



— 494. Sur les courbea aplaties. Paris, 

 Acad. Sci. Compt. Rend. LXXIV., 1872, pp. 

 708-712. 



495. Sur un surface quartique aplatie. 



Paris, Acad. Sci. Compt. Rend. LXXIV., 1872, 

 pp. 1393-1395. 



