Calendar: 1887-1888 Page 709

WARNEFORD SCHOLARSHIPS 13 Hence prove that chords of circle that subtend equal angles at the centre are equal Shew how to draw straight line perpendicular to given straight line of unlimited length from given point without it י If straight line be drawn to cut two concentric circles the portions intercepted between the circles are equal Show how to describe square upon given straight line Describe square that shall be double of given square If straight line be divided into any two parts the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts Verify this proposition in some numerical case and also express it algebraically Shew how to find the centre of given circle What is the locus of the middle points of parallel chords of circle Prove that angles in the same segment of circle are equal ABC is triangle shew how to find any number of points on the circle described round ABC without drawing the circle About given circle describe triangle equiangular to given tiiangle Find the angles of the triangle formed by joining the points of contact when the angles of the given triangle are right angle third of right angle and two-thirds of right angle Prove that similar triangles are to one another in the duplicate ratio of their homologous sides are the points of trisection of AB are the points of trisection of AC compare the areas of the trapeziums BSCQ QSRP