Calendar: 1853-1854 Page 357

warnbford SCHOLARSHIPS 303 Β Multiply 27 f2 -f3 xy2 y3 by χ-y Divide a5 "32 δ צ by Write down the fourth power of χ Extract the square root of rc 97 x4 יי -4 Reduce to single fraction and find the quotient of -f- by Solve the following equations λ ll 29 ץ ll ן α 13 4x δ 17 λ 19 30 ί To draw straight line perpendicular to given straight line of an unlimited length from given point without it 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 the angle contained by these two sides is right angle If straight line be bisected and produced to any point the rectangle contained by the whole line thus produced and the part of it produced together with the square of half the line bisected is equal to the square of the straight line which is made up of the half and the part produced To draw straight line from given point either without or in the circumference which shall touch given circle If from any point without circle two straight lines be drawn one of which cuts the circle and the other touches it the rectangle contained by the whole line which cuts the circle and the part of it without the circle shall be equal to the square of the line which touches it Ζ