Calendar: 1856-1857 Page 416

THE SCHOOL 417 The diagonals of squares are in increasing geometric progression and the product of the squares of the diagonals of the extremes product of the diagonals of the means side of the third -χ the square root of the common ratio 4v2 required the diagonal of the third square and the common ratio their difference being 45 farmer buys 100 sheep for £300 and sells 20 of them at gain of per cent at what price ought he to sell the remainder to gain 10 per cent on the whole 10 The sum of two numbers is 11 and the difference of their fourth powers is 2145 find the numbers 11 If be quantities in geometrical progression then a1 6' c' 12 The sum of three numbers in harmonic progression is 11 and the sum of the products every two is 36 find the numbers ת פ