Calendar: 1873-1874 Page 583

WARNEFORD SCHOLARSHIPS 583 of the whole line is equal to the squares of the two parts together with twice the rectangle contained by the parts 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 To draw straight line from given point either without or in the circumference which shall touch given circle In equal circles the angles which stand upon equal circum- ferences are equal to one another whether they be at the centers or cicumferences Upon given straight line to describe segment of circle which shall contain an angle equal to given rectilineal angle algebra Multiply a3 3a2b 3ab2 b3 by a3 3a2b Sab2 b3 Find the continued product of and Divide a6 by χ3 2ax2 2a2χ a3 Divide 3X3 iabx2 6a2 b2 χ 4a3 bz by 2a δτ3 11 χ χ Divide ---1- ----- by י 4x 2x 7x Add and -- 10 25 י גג Add ---j 7--- and 2x 3' 2' 2x 1' Divide fL3 by uJLl Extract the square root of 4xi 10x ZOx3 25x 24 16 Solve the equations 3f 2f 14 21 τ 13 6y 31 11 3y 47 10 squatter wishes to enclose rectangular piece of land to contain 1a 32p with 176 hurdles each two yards long how many hurdles must he place in each side of the rectangle