Calendar: 1851-1852 Page 368

372 THE SCHOOL term and ratio S2 sum of the squares S3 sum of the cubes and show that Si St &C Find from the equations π- β r1 יי a8 i2 -f- λ 34 10 λΛ V3 43 Find the values of and which satisfy the equations ג- yij 413 4- 468 The niinute-hand of watch is put half-an-hour before the hour-hand find the time when the hands are together between and 10 If bar of iron feet long weigh 50lbs find the weight of similar bar 10 feet long 11 There are four consecutive numbers of which the cube of the last is equal to the sum of the cubes of the other three find the numbers 12 Sum the series 0- 14 &c to infinity and show that there is an equality between the infinite series &c and ί 1357 ii -euciitj In any right-angled triangle the square described upon the hypothenuse is equal to the sum of the squares described upon the sides which contain the right angle Prove that Β Κ and pass through the same point Describe parallelogram equal in area and perimeter to given triangle