SYL] 



901 



[SYL 



Sylvester, Charles. 14. On the motions pro- 

 duced by the difference in the specific gravity of 

 bodies. Thomson, Ann. Phil. III., 1822, pp. 

 408-415. 



15. Observations on the presence of mois- 

 ture in modifyiug the specific gravity of gases. 

 Thomson, Ann. Phil. IV., 1822, pp. 29-31. 



16. Additional remarks on Dr. Thomson's 



paper on the effect of aqueous vapour on the 

 specific gravity of gases. Thomson, Ann. Phil. 

 IV., 1822, p. 360. 



Sylvester, Charles, and Charles Hobson. 



Malleability of Zinc. Nicholson, Journ. XL, 



1805, p. 304 ; Gilbert, Annal. XXIL, 1806, pp. 



333-334. 

 Sylvester, James Joseph. Analytical develope- 



ment of Fresnel's optical theory of crystals. 



Phil. Mag. XL, 1837, pp. 461-469, 537-541 ; 



XII., 1838, pp. 73-83, 341-345. 



2. On the motion and rest of fluids. Phil. 



Mag. XIIL, 1838, pp. 449-453; XIV., 1839, 

 pp. 188-190. 



3. Extension of J. Wilson's theorem to 



all numbers whatever. Phil. Mag. XIIL, 

 1838, p. 454. 



4. On definite double integration. Phil. 



Mag. XIV., 1839, pp. 298-300. 



5. On rational derivation from equations of 



coexistence. Phil. Mag. XV., 1839, pp. 428- 



435. 



Phil. 



— 6. On deviation of coexistence. 

 Mag. XVI., 1840, pp. 37-43. 



— 7. A method of determining by mere 

 inspection the derivatives from two equations of 

 any degree. Phil. Mag. XVI., 1840, pp. 132- 

 135. 



— 8. On elimination. Phil. Mag. XVIL, 



1840, pp. 379-380. 

 — 9. On the relation of Sturm's auxiliary 

 functions to the roots of an algebraic equation. 

 Brit. Assoc. Kep. 1841 (pt. 2), pp. 23-24. 



10. Examples of the dialytic method of 



Sylvester, James Joseph. 15. Elementary re- 

 searches in the analysis of combinatorial aggre- 

 gation. Phil. Mag. XXIV, 1844, pp. 285- 

 296. 



16. On the existence of absolute criteria 



for determining the roots of numerical equations. 

 Phil. Mag. 1844, pp. 442-445. 



17. On a discovery in the theory of num- 

 bers relative to the equation Ax? + By 3 + Cz 3 

 =T>xyz. Phil. Mag. XXXL, 1847, pp. 189- 

 191, 293-296. 



18. On the general solution (in certain 



cases) of the equation x z +y 3 +Az i =Mxyz, &c. 

 Phil. Mag. XXXL, 1847, pp. 467-471. 



19. On the intersections, contacts, and 



other correlations of two conies expressed by 

 indeterminate co-ordinates. Camb. and DubJ. 

 Math. Journ. V., 1850, pp. 262-282. 



20. Instantaneous demonstration of Pas- 

 cal's theorem by the method of indeterminate 

 co-ordinates. Phil. Mag. XXXVIL, 1850, p. 

 212. 



21. On a new class of theorems in elimina- 

 tion between quadratic functions. Phil. Mag. 

 XXXVIL, 1850, pp. 213-218. 



22. On a new class of theorems and on 



Pascal's theorem. Phil. Mag. XXXVIL, 

 1850, pp. 363-370. 



23. On the solution of a system of equa- 

 tions. Phil. Mag. XXXVIL, 1850, pp. 370- 

 373. 



24. On the rotation of a rigid body about 



a fixed point. Phil. Mag. XXXVIL, 1850, pp. 

 440-444. 



25. On certain general properties of homo- 

 geneous functions. Camb. and Dubl. Math. 

 Journ. VI., 1851, pp. 1-17. 



26. On the intersections of two conies. 



Camb. and Dubl. Math. Journ. VI., 1851, pp. 

 18-20. 



27. Reply to Professor Boole's observa- 



elimination as applied to ternary systems of 

 equations. Camb. Math. Journ. II., 1841, pp. 

 232-236. 



- 11. On the amount and distribution of 

 multiplicity in an algebraic equation. Phil. 

 Mag. XVIL, 1841, pp. 136-139. 



12. On a new and more general theory of 



multiple roots. Phil. Mag. XVIIL, 1841, pp. 

 249-254. 



13. On a linear method of eliminating 



between double, treble, and other systems of 

 algebraic equations. Phil. Mag. XVIIL, 1841, 

 ppi 425-435. 



14. On the dialytic method of elimination. 



Phil. Mag. XXL, 1842, pp. 534-539; Irish 

 Acad. Proc. II., 1840-44, pp. 130-138. 



tions on a theorem contained in the November 

 number of the Journal. Camb. and Dubl. 

 Math. Journ. VI., 1851, pp. 171-174. 



— 28. Sketch of a memoir on elimination, 

 transformation, and canonical forms. Camb. and 

 Dubl. Math. Journ. VI., 1851, pp. 186-200. 



— 29. On the general theory of associated 

 algebraical forms. Camb. and Dubl. Math. 

 Journ. VL, 1851, pp. 289-293. 



— 30. An enumeration of the contacts of lines 

 and surfaces of the second order. Phil. Mag. I., 

 1851, pp. 119-140. 



— 31. On the relation between the minor 

 determinants of linearly equivalent quadratic 

 functions. Phil. Mag. I., 1851, pp. 295-305. 



32. On a certain fundamental theorem of 



determinants. Phil. Mag. IL, 1851, pp. 142- 

 145. 



