^V CrtNtENl*^ <?>F VOL. v.— TOCTRTH SERIES. 



991(4 Page 



¥rof. Thomson on the Restoration of Mechanical Enerpjy from 4 



an aneqwally heated space 'lOB 



Mr. W. J. M. Rankine on the General Law of the Transforma- 



tion of Energy 106 



Sir W. R. Hamilton on Continued Fractions in Quaternions 



{^continued) 117 



Mr. J. J. Sylvester on the Conditions necessary and sufficient ' 

 '•^ to be satisfied in order that a Function of any number of 



Variables may be linearly equivalent to a function of any less 



number of Variables .* .; 119 



Dr. Mallet's Analysis of Euclase 127 



Mr. J. P. Hennessy on some Facts connected with Geometrical 



Reasoning ... . . .nnppAV??4<U/.i^.')jt^oM'4^ 127 



Procee<ling8 of the Royal Society -.-^hWY. .-. .-r-r-i-— 132 



. Royal Astronomical Society 140 



On the Temperatures of Conductors of Electrical Currents, by 



Dr.Tyndall 147 



Remarks on Chemical Affinity, by Prof. Bunsen ;. .^..^ j 147 



.Researches on the Density of Sulphur, by Charles Brame '.'l,'!'. j J-f^ 

 On the Occurrence of Gold in Pennsylvania, by Charles' NiL . 



, Wetherill. Ph.D ::...^T^.^^ 



Meteorological Observations for December 1852^-.^ W. tj .^jS 1^ 

 .rm Table ' . .... 1^.'. , ... . io2 



^nmii ' - no hnsUnnl .i(I 



^'^' alBiaU 



NUMBER XXXI.— MARCH.J ao tolfP .A .tM 



M. F. Reich's New Experiments on the Mean Density of ^e 



Earth 153 



i)r. Frankland on a New Series of Organic Bodies containing 



Metals* 159 



Mr. .T. Cockle on the Metliod of Symmetric Products {continued) /1 70 

 Mr. J. Napier on Copper Smelting. — CEdcination of the granu- -i/ 



latcd coarse Metal {continued) i'v;i-».i{fdl75 



Mr. T. T. Wilkinson on Mathematics and Mathematicianfili^*<^7*7 



The Journals of the late Reuben Burrow. i ....:. . 185 



Mr. R. Adie on the Temperatures of Condt^cturs of Electrical 1 



Currents. . ... . ... . .:. iWI-iiiua .• J .u .». 193 



M. A. Bravais on Systems in which Right i and Left-handed 



Oscillations are not executed alike . . . :'. / . . ; . i-. 197 



Mr. J. J. Sylvester on Mr. Cayley's Impromptu Demonstration 

 ('.^'iof the Rule for determining at sight the Degree of any sym- 

 C<->'metrical Function of the Roots of an Equation expressed in 



c5(';term» of the Coefficients 199 



Mr. W. R. Grove on some anomalous cases of Electrical De- 



6(>.'composition 203 



<M. R. Clausius on the Dependence of the Heating Power of the 



1 1 'Galvunic Current on the nature of the surrounding Gas 209 



aatoceedings of the Royal Society 211 



