Calendar: 1876-1877 Page 554

50i CLOTHWOBKERs' SCIENCE EXHIBITION Describe circle touching given straight line and also given circle at given point If two chords of parabola intersect one another the rectangles contained by their segments are in the ratio of the parameters of the diameters which bisect the chords In the ellipse prove that SF BG Find the condition that two straight lines whose equations are given may be at right angles to one another when the axes are rectangular when they are oblique Find the equation to circle referred to pair of tangents inclined at an angle ω as axes Find the equation to the parabola referred to any diameter and the tangent at its extremity as axes Find the polar equation to the ellipse the focus being the pole also the polar equation to the tangent at any point ΙΠ -fHccIjamcS atrti vsSiciS Define force Shew the advantages obtained by repre- senting forces by straight lines Can force be adequately repre- sented by straight line AB is straight rod 16 ft long point ft from the rod rests on peg at and is kept horizontal by peg placed over it at weight of 20 lbs is hung at find the pressure on the peg first neglecting the weight of the rod secondly supposing the rod to be uniform and weighing lbs State exactly what is meant when it is said that the ac- celerating force of gravity near the earth's surface is very nearly 322 ft per second body falls freely under the action of gravity from rest for seconds what is the space described in the last two seconds of its motion Shew exactly in what manner the trade winds are produced What distinctions are there between solid and liquid Into what classes may fluids be divided Describe experiments