Calendar: 1849-1850 Page 283

GENERAL LITERATURE AND SCIENCE 281 So silently we seem'd to speak So slowly moved about As we had lent her half our powers To eke her living out Our very hopes belied our fears Our fears our hopes belied We thought her dying when she slept And sleeping when she died For when the morn came dim and sad And chill with early showers Her quiet eyelids closed-she had Another morn than ours SENIOR MATHEMATICAL SCHOLARSHIP If She the surface of solid of revolution the length of the generating curve and the ordinate dS τ 2π In the ellipse if CP and CD are semi-conjugate diameters CP2 CD1 CA2 CB2 Show priori that the expansion of ---z contains no odd powers of χ above the first Find the centre of gravity of loop of the lemniscata where Π a2 cos Trace the curve y2 a2 a3 and find the area of the part defined by and