Calendar: 1850-1851 Page 320

316 GENERAL LITERATURE AND SCIENCE ΙΓ Euclid Book Prop XXIV Euclid Book Prop VII Euclid Book 11 Prop IV If χ sc find and person finds that he is half as long again in rowing mile up and mile down stream as he is in rowing two miles in still water show that his velocity velocity of stream What value must be given to ן that a2 bx may be square If PQ be drawn parallel to the base of the triangle ABC and Pi BQ be joined their point of intersection will be in the line drawn from bisecting the base Find when ay3- -bxy cx2- -ex -fy- -g can be resolved into two simple factors If two circles intersect the common chord produced bisects the common tangent 10 In square inscribe square th of the original and find the least value of 11 If be the sides of AAB and if tan Θ U--γ cot a-X-b then log log log sin י- log cos Θ 12 Find cos in terms of the powers of cos and if sin 2a sin 6a sin 30 find 13 Find two numbers such that their difference shall be equal to the difference of their cubes 14 If be the angles of triangle and their cosines be in arithmetical progression Β Β cos cos sin cos Zi £1 £t £