Calendar: 1884-1885 Page 692

686 CLOTHWORKERS' SCIENCE EXHIBITIOX 12 Show how to draw pair of tangents to parabola from an external point 13 If the tangent at any point Ρ of an ellipse meet the axis major produced in and PN be the ordinate of the point then CT CN GA If AP A'P be produced to meet the perpendicular to the major axis through Τ in and Q' then QT Q'T 14 Draw the straight lines χ 2y 2x and find the area of the triangle formed by them 15 Show that an equation of the form x2 y2 Ax By Ε represents in general circle and note the exceptional cases 16 Find the equation to the ellipse referred to axes passing through the ends of the minor axis and meeting at one end of the major axis II -arithmetic Hlgcbva antt lane Cvtgonemetri Simplify 17 12 9J 34 χ 025 0009' Find what length of paper 14 inches wide will cover the walls of room 15 ft long 13 ft broad and 10 ft high and find the cost if the paper is sold at halfpence foot Find the simple interest on £2475 12s 4d at per cent for years invests £1695 16s Sd in the per cents at 101J and Β sum of £1767 3s 9d in the per cents at 94J What is the difference between the respective incomes thence derived Divide 4x 12 xf by 2x Zxy 2f and simplify χ χ x7 Th 1