Calendar: 1863-1864 Page 544

WARNEFORD SCHOLARSHIPS Find the least common multiple of 16 27 72 100 and find the value of in its lowest terms Reduce of guinea to the fraction of £ How often is £ of half-a-guinea contained in £4 10 and what is the decimal fraction corresponding to Find the continued product of 3J £ and jj and the difference between 4Ό014 and 40014 VII rutlttl If two triangles have two sides of the one equal to two sides of the other each to each and have likewise the angles contained by those sides equal to one another they shall have their bases or third sides equal and the two triangles shall be equal and their other angles shall be equal each to each viz those to which the equal sides are opposite If one side of triangle be produced the exterior angle is greater than either of the interior opposite angles Parallelograms upon the same base and between the same parallels are equal to one another If the square described upon one of the sides of triangle be equal to the squares described upon the other two sides of it thl angle contained by these two sides is right angle If straight line be divided into any two parts the rect- angles contained by the whole and each of the parts are together equal to the square of tbe whole line To describe square that shall be equal to given recti- lineal figure To draw straight line from given point either without or in the circumference which shall touch given circle If straight line touches circle and from the point of contact straight line be drawn cutting the circle the angles which this line makes with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle