Calendar: 1884-1885 Page 631

GENERAL LITERATURE AND SCIENCE 625 14 Find the equation of the tangent and normal at the point for which φ to the curve defined by χ cos φ sin φ Prove that the minimum value of the intercept between the tangent and normal on the minor axis is 2ae if -בד and χ if 15 Prove that if an equation of the second degree represents parabola the terms of highest dimensions form perfect square II Cugononutri &c Prove that the unit of circular measure is an invariable angle How many of these units are there in two right angles Why is this number usually represented by lett er Prove that in 90 cos 180 sin 90 α י sin 2A sin 90 sin 180 tan tan 45 tan 45 If cos 1' cos Β £2 1' shew that sin &2 sin sin sin diameter of In any triangle the circumcircle The angles of triangle are in the ratios express the area in terms of the least perpendicular from one angle on the opposite side Compare the areas of the regular octagons inscribed in and circumscribed about given circle