[ ^ ] 
XXIII. A Memoir on the Symmetric Functions of the Roots of an Equation. By Artiiuk 
Cayley, Esq., F.R.S page 489 
XXIV. On Hourly Observations of the Magnetic Declination made by Captain Rochfort 
Maguire, R.N., and the Officers of H.M.8. ‘■Plover,' in 1852, 1853 and 1854, 
at Point Barrow, on the shores of the Polar Sea. By Major-Qenefral Edward 
Sabine, R.A., D.C.L., Treas. and Vice-President 497 
XXV. Researches on Silica. By Colonel Philip Yorke, F.R.S. 533 
XXVI. On the Fructificaticm of certain Sphaeriaceous Fungi. By Frederick Currey, 
M.A., F.L.S. Communicated by W. J. Hooker, M.D., F.R.S 543 
XXVII. Researches on a New Class of Alcohols. By Augustus William Hofmann, 
LL.D., F.R.S., and Augustus Cahours, F.C.S 555 
XXVHI. Researches on the Phosphorus-Bases. By Augustus William Hofmann, LL.D., 
F.R.S., and Augustus Cahours, F.C.S. 575 
XXIX. Photo-chemical Researches . — Part HI. Optical and Chemical Extinction of the 
Chemical Rays. By Robert Bunsen, Professor of Chemistry at the University of 
Heidelberg, and Henry Enfield Roscoe, B.A., Ph.D., Professor of Chemistry at 
Owens College, Manchester. Communicated by Professor Stokes, Sec. R.S. 601 
XXX. Account of the Construction of the New National Standard of Length, and of its 
principal Copies. By G. B. Airy, Esq., Astronomer Royal 621 
XXXI. Memoir on the Resultant of a System of two Equations. By Arthur Cayley, 
Esq., F.R.S. 703 
XXXH. On the Symmetric Functions of the Roots of certain Systems of two Equations. 
By Arthur Cayley, Esq., F.R.S. 717 
XXXHI. A Memoir on the Conditions for the Existence of given Systems of Equalities 
among the Roots of an Equation. By Nwywr CA-YhWi:, Esq., F.R.S. . . .121 
XXXIV. Tables of the Sturmian Functions for Equations of the Second, Third, Fourth, 
and Fifth Degrees. By Arthur Cayley, Esq., F.R.S. . 733 
XXXV. On some of the Products of the Destructive Distillation of Boghead Coal . — 
Part H. By C. Greville Williams, Lecturer on Chemistry in the Normal Col- 
lege, Swansea 737 
XXXVI. On the Comparison of Transcendents, with certain applications to the Theory 
of Definite Integrals. By George Boole, Esq., Professor of Mathematics in the 
Queens University. Communicated by Professor W. F. Donkin, F.R.S. . .745 
