Calendar: 1851-1852 Page 316

320 GENERAL LITERATURE AND SCIENCE sum of the squares of the areas of its projections on three co- ordinate rectangular planes 11 If PQ bed chord of parabola normal at the tangents at Ρ and intersect at point in given line and Ρ Τ is bisected by the directrix 12 Find the centre of gravity of the surface of paraboloid 13 cone is cut by plane parallel to its side and bisecting the base compare the segments 14 Two bodies and elasticity move with velo- cities 2v and ν respectively and the direction of each makes an angle 30 with the common tangent at the point of impact -find their directions and velocities after impact 15 Trace the curve χ χ χ ό when is or and find the nature of the point when χ What species of point at the origin has the curve defined by- -α2 2α2ζ ζ- 16 Divide the arc of quadrant into three parts such that the product of their sines may be maximum 17 Find the surface and solidity of circular ring the external and internal diameters of which are -j- and 18 If parabola and semi-ellipse have the same focus and parameter the parabola being terminated by the axis minor of the ellipse and the two figures revolve round their common axes the Paraboloid Spheroid -f2 e2 66 III -Cije £i trt1 leans' £Elar THE questions upon this subject are the same with those set for the Senior Classical Scholarship page 309