Calendar: 1872-1873 Page 571

572 WARNEFORD SCHOLARSHIPS straight line can he drawn from the extremity between that straight line and tbe circumference so as not to cut the circle or which is the same thing no straight line can make so great an acute angle with tbe diameter at its extremity or so small an angle with the straight line which is at right angles to it as nut to cut the circle The opposite angles of any quadrilateral figure inscribed in circle are together equal to two right angles If straight line touches circle and from the point of contact straight line be drawn cutting the circle the angles which tins line makes with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle algebra 01 3ך τ Multiply -- χ1 Λ- by χ2 י Divide a5 25 6a 18 by a3 3a" Reduce to one fraction 4m Ά ana--- 10 20 Solve the equation 30 6V 60 848 Solve the equation χ 2y 3z 2x 3y 4z 20 21 roz 26 The value of 50 coins consisting of half-guineas and half- crowns is £16 5s how many are there of each and Β start from opposite ends of road which is 350 miles long they walk and miles respectively every hours and meet half way how much longer was Β on the road than At Find the Greatest Common Measure of x3 Sx and χ