STL] 



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. Recherches sur les solutions en nom- 



bres entiers positifs ou negatifs de l'equation 

 cubique homogene a trois variables. Tortolini, 

 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. Developement 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. 



80. 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. 

 Hermite [sur une question concernant la 

 theorie des nombres.] Paris, Comptes Rendus, 

 L., 1860, 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., 1860, 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 



P(»<) + E(^ 1 )P(1)+E(^)P(2) + ... 



+E()n)=w— 2 — 



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

 — 90. Intorno ad alcuni integrali definiti. 



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



91. Sur une propriete des nombres pre- 

 miers qui se rattache au theoreme de Fekmat. 

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

 163, 212-214, 307-308. 



92. Sur l'involution des lignes droites dans 



l'espace considerees comme des axes de rotation. 

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

 746. 



— 93. Note sur l'involution de six lignes dans 

 l'espace. Paris, Comptes Rendus, LIL, 1861, 

 pp. 815-817. 



— 94. Note sur les 27 droites d'une surface 

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



1861, pp. 977-980. 



— 95. Generalisation d'un theoreme de M. 

 Cauchy. 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 Euler, and a new theorem concerning 

 prime numbers. Phil. Mag. XXI., 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. 



100. Concluding paper on Tactic. Phil. 



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



— 101. Remark on the Tactic of 9 elements. 

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



— 102. On a generalization of a theorem of 

 Caucht on Arrangements. Phil. Mag. XXIL, 

 1861, pp. 878-382. 



— 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. 



