Calendar: 1848-1849 Page 252

250 GENERAL LITERATURE AND SCIENCE to be ma and mb in breadth show if be the sun's altitude and β be the inclination of the first wall to the meridian Cot ץ and cot β υ 17 body revolves in the circumference of circle radius round at distance from centre find the law of force and show that the periodic time α ν μ 18 If sensible gravity at the equator be 288 times that of the centrifugal force show that if the earth's angular velocity were increased 17 fold bodies would cease to have any weight 19 ball is projected with given velocity along the inside of hollow cylinder determine its path and prove that its vertical descents at each revolution will be as the numbers &c 20 Integrate 2Δ η Log sin jr xi cos -' Θ sm Θ II -eurlrtJ Euclid Book vi prop 25 How can £10 be paid in crowns guineas and moidores If cos Θ and a2 6s V'a £ yZT λ ΓΤ cos 11 Given log and log -f 2x find log 3x If and be any two consecutive converging fractions Eliminate θ between cosec θ sin θ and η sec β cos θ and if tan tan χ tan tan find tan