Calendar: 1882-1883 Page 636

GENERAL LITERATURE AND SCIENCE 633 14 Sum the series cos cos 2a cos na log tan 20 log tan -f- tan to infinity 15 In spherical triangle two angles and side opposite one of them are given examine in what cases there are or solutions Division III urfto Books II III IV Write out Euclid's three postulates On the same base and on the same side of it there cannot be two triangles having their sides which are ter minated at one extremity of the base equal to one another and likewise those which are terminated at the other extremity Show how to draw straight line perpendicular to given straight line of an unlimited length from given point without it If one side of triangle be produced prove that the exterior angle is greater than either of the interior opposite angles vr Prove that the straight lines which join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel Prove that the complements of the parallelograms which are about the diameter of any parallelogram are equal to one another If the square described on one of the sides of triangle be equal to the squares described on the other two sides of it prove that the angle contained by those two sides is right angle