Demonstration of a Proposition in Mechanics. By A. B.

II. On the Motion of a Pendulum whose points of suspension are

moveable. By Mr. JOHN GOUGH.

III. An Occular Demonstration of the Forty-seventh proposition of

the first book of Euclid. By Mr. H. DOUGLAS.

IV. Theorems for finding the Sums of certain Infinite Series by means

of Circular Arcs. By Mr. JAMES CUNLIFFE, of the Royal

Military College.

V. Theorems for finding the Sums of certain Infinite Series by means

of Hyperbolic Logarithims. By Mr. CUNLIFFE.