SYL] 



903 



[SYL 



Sylvester, James Joseph. 69. Note on an in- 

 tuitive proof of the existence of 27 conies of 

 closest contact with a curve of the third degree. 

 Phil. Mag. XI., 1856, pp. 463-464. 



70. On a construction for the range of 



projectiles. Phil. Mag. XII., 1856, pp. 112- 

 113. 



71. Eecherches sur les solutions en nom- 

 bres entiers positifs ou negatifs de 1'equation 

 cubique homogene a trois variables. Tortoliui, 

 Annali, VII., 1856, pp. 398-400. 



72. On the change of systems of indepen- 

 dent variables. Quart. Journ. Math. I., 1857, 

 pp. 42-56, 126-134. 



73. On a discovery in the partition of 



numbers. Quart. Journ. Math. I., 1857, pp. 

 81-84. 



74. On the partition of numbers. Quart. 



Journ. Math. I., 1857, pp. 141-152. 



75. Note on a formal property of a latent 

 integer. Quart. Journ. Math. I., 1857, p. 185. 



76. Note on a principle in the theory of 

 numbers and the resolubility of any number into 

 the sum of four squares. Quart. Journ. Math. 

 I., 1857, pp. 196-197. 



77. Theorem in the partition of numbers. 



Quart. Journ. Math. I., 1857, pp. 198-199 ; 

 Tortolini, Annali, VIII., 1857, pp. 12-21. 



78. Developernent of an idea of EISEN- 

 STEIN. Quart. Journ. Math. I.. 1857, pp. 199- 

 203. 



79. On the equation in numbers of the 

 first degree between any number of variables 

 with positive coefficients. Phil. Mag. XVI., 

 1858, pp. 369-371. 



8O. On the problem of the virgins. Phil. 



Mag. XVI, 1858, pp. 371-376. 



81. On the algebraical theory of derivative 



points of curves of the third degree. Phil. Mag. 

 XVI., 1858, pp. 116-119. 



82. On a generalization of PONCELET'S 

 theorems for the linear representation of qua- 

 dratic radicals. Brit. Assoc. Rep. 1860 (pt. 2), 

 p. 7. 



83. Extrait d'une Lettre adressee a M. 

 HERJIITE [sur une question concernant la 

 theorie des nombres.] Paris, Comptes Rendus, 

 L., I860, pp. 489-490. 



84. Note sur certaines series qui se pre- 

 sentent dans la theorie des nombres. Paris, 

 Comptes Rendus, L., 1860, pp. 650-551. 



85. Sur la fonction E (x). Paris, Comptes 



Rendus, L., I860, pp. 732-734. 

 86. On PONCELET'S approximate linear 



valuation of surd forms. Phil. Mag. XX., 1860, 



pp. 203-222. 

 87. Meditation on the idea of PONCELET'S 



theorem. Phil. Mag. XX., 1860, pp. 307- 



316. 



Sylvester, James Joseph. 88. On the pressure 

 of earth on revetment walls. Phil. Mag. XX., 

 1860, pp. 488-499. 



89. On the equation 





Quart. Journ. Math. III., 1860, pp. 186-190. 



90. Intorno ad alcuni integral! definiti. 

 Tortolini, Annali, III., 1860, pp. 254-256. 



91. Sur nne propriete des uombres pre- 

 miers qui se rattache au theoreme de FERJIAT. 

 Paris, Comptes Rendus, LII., 1861, pp. 161- 

 163, 212-214, 307-308. 



92. Sur I'involution des lignes droites dans 



1'espace considerees comme des axes de rotation. 

 Paris, Comptes Rendus, LII., 1861, pp. 741- 

 746. 



93. Note sur 1'involution de six lignes dans 



1'espace. Paris, Comptes Rendus, LII., 1861, 

 pp. 815-817. 



94. Note sur les 27 droites d'une surface 



du 3 e degre. Paris, Comptes Rendus, LII., 



1861, pp. 977-980. 



95. Generalisation d'un theoreme de M. 

 CAUCHT. Paris, Comptes Rendus, LIIL, 1861, 

 pp. 644-645, 722-724. 



96. Demonstration directe du theoreme de 



LAGRANGE, sur les valeurs numeriques minima 

 d'une fonction lineaire a coefficients entiers 

 d'une quantite irrationnelle. Paris, Comptes 

 Rendus, LIIL, 1861, pp. 1267-1272; LIV., 



1862, pp. 53-55. 



97. Note on the numbers of BERNOULLI 



and EULEE, and a new theorem concerning 

 prime numbers. Phil. Mag. XXL, 1861, pp. 

 127-137. 



98. Note on the historical origin of the 



unsymmetrical six-valued function of six letters. 

 Phil. Mag. XXL, 1861, pp. 369-377. 



99. On a problem in Tactic which serves 



to disclose the existence of a four-valued func- 

 tion of three sets of three letters each. Phil. 

 Mag. XXL, 1861, pp. 515-520. 



1OO. Concluding paper on Tactic. Phil. 



Mag. XXIL, 1861, pp. 45-54. 



1O1. Remark on the Tactic of 9 elements. 



PhD. Mag. XXIL, 1861, pp. 144-147. 



1O2. On a generalization of a theorem of 



CAUGHT on Arrangements. Phil. Mag. XXIL, 

 1861, pp. 378-382. 



103. Note on a direct method of obtaining 



the expansion of the sine or cosine of multiple 

 arcs in terms of powers of the sines or cosines 

 of the simple arcs by means of DE MOIVRE'S 

 theorem. Quart. Journ. Math. IV., 1861, pp. 

 159-163. 



