Calendar: 1866-1867 Page 468

470 GENERAL LITERATURE AND SCIENCE AB cutting the semicircle in NQ AP show that will trace parabola 13 circle is inscribed in the triangle SPH and Η being the foci and Ρ point in the ellipse find the locus of its centre 14 Ν Ρ the ordinate of an ellipse is produced to meet the circle on the major axis hi show that tbe locus of the inter- section of CQ and SP is an ellipse of which and are the foci 15 If and be two focal distances of an ellipse at right angles to each other and the latus rectum then 16 Find the equation to the hyperbola the asymptotes being axes and deduce from it the equation to the tangent IV Eltmcntarp Stfftrtntial Calcului Investigate the differential coefficients of Vl 2x Jfv log tan ן If x3 log χ χ X3 2i χ' dx cPu If e" find the value of dx