Calendar: 1852-1853 Page 381

THE SCHOOL 10 The sum of the fourth powers of three numbers in arithmetic progression is 98 the sum of their squares is 14 find the numbers 11 Solve the equations 34 χ xy 10 ר x-y 30 12 Extract the square root of γ Ί4 and of 44 30 II uBiiclftr Upon given straight line to describe segment of circle which shall contain an angle equal to given rectilineal triangle Describe an isosceles triangle having each of the angles of the base double of the third angle Parallelograms upon the same base and between the same parallels are equal to one another In given triangle inscribe parallelogram similar to given parallelogram Define harmonic proportion and divide given finite straight line harmonically Describe rectilinear figure which shall be equal to one and similar to another given rectilineal figure Inscribe square in pentagon If straight line be divided into any two parts the square of the whole line is equal to the squares of the two parts together With twice the rectangle contained by the two parts Bisect triangle by line drawn from given point in one of its sides 10 If an equilateral triangle be inscribed in circle and the adjacent arcs cut off by two of its sides be bisected the line joining the point of bisection will be trisected by the sides