Calendar: 1873-1874 Page 606

606 THE SCHOOL Sedilibusque magnus in primis eques Othone content pto sedet Quid attinet tot ora navium gravi Rostrata duoi pondere Contra latrones atque servilem manum Hoc hoc tribuno militum MATHEMATICAL SCHOLARSHIP Ip two triangles have two sides of the one equal to two sides of the other each to each but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them of the other the base of that which has the greater angle shall be greater than the base of the other If the square described on one of the sides of triangle be equal to the squares described on the other two sides of it the angle contained by these two sides is right angle Bisect triangle by straight line drawn from given point in one of its sides Also bisect parallelogram by straight line drawn through any given point If straight line be divided into two equal parts and also into two unequal parts the rectangle contained by the unequal parts together with the square on the line between the points of section is equal to the square on half the line Describe square that shall be equal to given rectilineal figure Prove that the sum of the squares on the diagonals of parallelogram is equal to the sum of the squares on the sides If straight line touch circle the straight line drawn from the centre to the point of contact shall be perpendicular to the line touching the circle Describe circle of given radius passing through given point and touching given straight line