[ iv ] 
XL On the Spectrum of Carbon. By John Attpield, Esq., F.C.S., Director of the 
Laboratory of the Pharmaceutical Society ; lately Demonstrator of Chemistry at 
St. Bartholomew's Hospital. Communicated by Dr. Frankland, F.R.S. page 221 
XII. Oqi the Theory of Probabilities. By George Boole, F.R.S. , Professor of Mathe- 
matics in Queen's College., Cork 225 
XIII. On the Calculus of Symbols . — Second Memoir. By W. H. L. Russell, Esq.., A.B. 
Communicated by Arthur Cayley, Esq., F.R.S. 253 
XIV. On the Calculus of Functions. By W. H. L. Russell, Esq., A.B. Communicated 
by Arthur Cayley, Esq., F.R.S. 265 
XV. On the Difference in the Magnetic Properties of Hot-Rolled and Cold-Rolled 
Malleable Iron, as regards the power of receiving and retaining Induced Magnetism 
of Subpermanent Character. By George Biddell Airy, Royal 273 
XVI. On the Relations of the Vomer, Ethmoid, and Intermaxillary Bones. By John 
Cleland, M.D., Demonstrator of Anatomy in the University of Edinburgh. 
Communicated by Professor Huxley, F.R.S 289 
XVII. On the Properties of Electro-deposited Antimony (concluded). By G. Gore, Esq. 
Communicated by Professor Stokes, Sec. R.S 323 
XVIII. The Bakerian Lecture. — On the Total Solar Eclipse of July lUh, 1860, 
observed at Rivabellosa, near Miranda de Ebro, in Spain. By Warren De La 
Rue, Esq., PhD., F.R.S., Hon. Sec. Royal Astron. Soc., Treas. Chem. Soc. &c. 333 
XIX. On a New Method of Approximation applicable to Elliptic and Ultra-elliptic 
Functions . — Second Memoir. By Charles W. Merripield. Communicated 
by W. Spottiswoode, Esq., F.R.S. 417 
XX. On Simultaneous Differential Equations of the First Order in which the Number of 
the Variables exceeds by more than one the Number of the Equations. By George 
Boole, F.R.S., Professor of Mathematics in Queen's College, Cork . . . 437 
XXI. (I.) On the Dicynodont Reptilia, with a Description of some Fossil Remains 
brought by H.R.H. Prince Alfred / rom South Africa, November 1860. (II.) On 
the Pelvis of the Dicynodon. (HI-) Notice of a Skull and parts of the Skeleton 
of Rhynchosaurus articeps. By Professor Owen, F.R.S. &c 455 
XXII. On the Differential Coefficients and Determinants of Lines, and their Application 
to Analytical Mechanics. By A. Cohen, Esq. Communicated by Professor 
Stokes, Sec. R.S 469 
XXIII. A Supplement to Two Papers published in the Transactions of the Royal Society, 
“ On the Science connected with Human Mortality ; " the one published in 1820, and 
the other in 1825. By Benjamin Gompertz, F.R.S., F.R.A.S. &c. . . . 511 
