Calendar: 1849-1850 Page 288

286 GENERAL LITERATURE AND SCIENCE banker borrows money at per cent interest payable annually he lets it out at per cent interest payable quarterly and gains by the transaction 250 what was the amount of the sum lent Let Β be triangle and Β Β produced to Ε and bisect Ζ BACbyAG and Δ CA by meeting Β in and then Β is divided harmonically in and Inscribe circle in regular pentagon If cos χ sin and ss 12 מ sin then tan 2מ tan 10 Α Β Β are three unequal lines placed in the same continued straight line find the position of an eye from which they may all appear to be of the same magnitude 11 Find two numbers whose ratio equals the sum and inverse ratio the difference of their squares 12 Find yf and ζ when xy 20 xz 24 38 13 Prove that η cos θ η ן cos θ &c2 c03 "י03 'ο 14 What is Vernier Explain its use 15 When tan χ χ show that χ 4£ very nearly 16 If be the length of straight line drawn from the vertex of triangle bisecting the base the area of the triangle -c2 tan II iriicliiJ eigtfcra Cu j0110mrtn On what day of the week will April 3d 1899 he lfxi- -px -qx2- -rx- -sbe& perfect square 3- ρ If straight line stand at right angles to two straight lines at the point of their intersection it is at right angles to the place in which they are