Calendar: 1870-1871 Page 556

556 WARNEFORD SCHOLARSHIPS Solve the following equations -i 27 ί 21 Τ3ϊ 12' 10 How many sheep must be bought at 71 each that after paying score for certain expenses gain of 791 165 may be obtained by selling them at each XII Euclfo If two triangles have two sides of the one equal to two sides of the other each to each and have 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 The opposite sides and angles of parallelograms are equal to one another and the diameter bisects them that is divides them into two equal parts To describe parallelogram that shall be equal to given triangle and haveoneofits angles equal toagiven rectilineal angle In any right-angled triangle the square which is described upon the side subtending the rigiit angle is equal to the squares described upon the sides which contain the right angle If straight line be divided into two equal parts and also into two unequal parts the rectangle contained by the unequal arts together with the square of the line between the points of section is equal to the square of half the line To divide given straight line into two parts so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part If straight line drawn through the centre of "circle bisect straight line in it which does not pass through the centre it shall cut it at right angles and if it cuts it at right angles it shall bisect it To draw straight line from given point either witnout or in the circumference which shall touch given circle