CAY] 



357 



[CAY 



Cayley, Arthur. 418. Sketch of recent re- 

 searches upon quartic and quintic surfaces. 

 [1870.] London, Math. Soc. Proc. III., 1869- 

 71, pp. 186-195. 



419. Note on the theory of the rational 



transformation between two planes, and on special 

 systems of points. London, Math. Soc. Proc. 

 III., 1869-71, pp. 196-198. 



420. On an analytical theorem from a new 



point of view. [1871.] London, Math. Soc. 

 Proc. III., 1869-71, pp. 220-221. 



421. On a problem in the calculus of varia- 

 tions. [1871.] London, Math. Soc. Proc. III., 

 1869-71, pp. 221-223. 



422. On PLUCKER'S models of certain 



quartic surfaces. [1871.] London, Math. Soc. 

 Proc. III., 1869-71, pp. 281-285. 



423. On the graphical construction of the 



umbral or penumbral curve at any instant during 

 a solar eclipse, Astron. Soc. Month. Not. XXX., 

 1870, pp. 162-164; Nouv. Ann. Math. IX,, 

 1870, pp. 289-291. 



424. On the geometrical theory of solar 



eclipses. Astron. Soc. Month. Not. XXX., 

 1870, pp. 164-168. 



425. On a property of the stereographic 



projection. Astron. Soc. Month. Not. XXX., 

 1870, pp. 205-207. 



426. On the problem of the in- and- circum- 

 scribed triangle. Brit. Assoc. Rep. XL., 1870 

 (Sect.}, pp. 9-10. 



427. On a correspondence of points and 



lines in space. Brit. Assoc. Eep. XL., 1870 

 (Sect.), p. 10. 



428. On the geodesic lines on an oblate 



spheroid. Phil. Mag. XL., 1870, pp. 329-340. 



429. A memoir on abstract geometry. 



[1869.] Phil. Trans. CLX., 1870, pp. 51-64 ; 

 Roy. Soc. Proc. XVIII., 1870, pp. 122-123. 



430. Note on the discriminant of a binary 



quantic. Quart. Journ. Math. X., 1870, p. 23. 



431. On the quartic surfaces (*) (U,V,W) 2 



=0. Quart. Journ. Math. X., 1870, pp. 24- 

 34 ; XL, 1871, pp. 15-25. 



432. Note on Mr. WALKER'S paper " On 



the anharmonic-ratio sextic." Quart. Journ. 

 Math. X., 1870, pp. 56-57. 



433. On the double-sixers of a cubic sur- 

 face. Quart. Journ. Math. X., 1870, pp. 58- 

 71. 



434. Note on Mr. FROST'S paper on the 



direction of lines of curvature in the neighbour- 

 hood of an umbilicus. Quart. Journ. Math. X., 

 1870, pp. 111-113. 



435. On the geometrical interpretation of 



the covariants of a binary cubic. Quart. Journ. 

 Math. X., 1870, pp. 148-149. 



- 436. On a theorem in maxima and minima. 

 Quart. Journ. Math. X., 1870, pp. 262-263. 



Cayley, Arthur. 437. A ninth memoir on quan- 



tics. Roy. Soc. Proc. XVIIL, 1870, pp. 343- 



345. 

 438. On the determination of the orbit of a 



planet from three observations. [1869.] Astron. 



Soc. Mem. XXXVIIL, 1871, pp. 17-112. 



439. On the graphical construction of a 



solar eclipse. Astron. Soc. Month. Not. XXXI., 



1871, pp. 39-40; Astron. Soc. Mem. XXXIX., 



1872, pp. 1-17. 



44O. On the number of covariants of a bi- 

 nary quantic. Brit. Assoc. Rep. XLL, 1871 

 (Sect.), pp. 9-10. 



441. Note on certain families of surfaces. 



Brit, Assoc. Rep. XLL, 1871 (Sect.), pp. 19- 

 20. 



442. Note sur la surface du quatrieme 

 ordre douee de seize points singuliers et de seize 

 plans singuliers. Crelle, Journ. Math. LXXIIL, 

 1871, pp. 292-293. 



443. Note on the theory of invariants. 

 [1870.] Mathem. Annal. III;. 1871, pp. 268- 

 271. 



444. On the transformation of unicursal 

 surfaces. [1870.] Mathem. Annal. III., 1871, 

 pp. 469-474. 



445. On the deficiency of certain surfaces. 

 Mathem. Annal. III., 1871, pp. 526-529. 



446. An example of the higher transfor- 

 mation of a binary form. Mathem. Annal. IV., 

 1871, pp. 359-361. 



447. On a surface of the eighth order. 



Mathem. Annal. IV., 1871, pp. 558-560. 



448. Note on the integration of certain 

 differential equations by series. Messenger of 

 Math. V., 1871, pp. 77-82. 



449. On the binomial theorem, factorials, 

 and derivations. Messenger of Math. V., 1871, 

 pp. 102-114. 



45O. On the plane representation of a solid 

 figure. Phil. Mag. XLL, 1871, pp. 286-290. 



451. On the attraction of a terminated 



straight line. Phil. Mag. XLL, 1871, pp. 358- 

 360. 



452. Note on the geodesic lines on an el- 

 lipsoid. Phil. Mag. XLL, 1871, pp. 534-535. 



453. On a supposed new integration of dif- 

 ferential equations of the second order. PhiL 

 Mag. XLII., 1871, pp. 197-199. 



454. On GAUSS'S Pentagramma mirificum. 



Phil. Mag. XLII., 1871, pp. 311-312. 



455. A ninth memoir on quantics. [1870.] 



Phil. Trans. CLXL, 1871, pp. 17-50. 



456. On the problem of the in- and- circum- 

 scribed triangle. Phil. Trans. CLXL, 1871, pp. 

 369-412. 



457. Note on a relation between two cir- 

 cles. Quart. Journ. Math. XL, 1871, pp. 82- 

 83. 



