Calendar: 1882-1883 Page 633
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630 GENERAL LITERATURE AND SCIENCE The tangent at Ρ meets the directrix and latus rectum produced in points equally distant from the focus 12 Find the equation to the tangent at any point of parabola Find the locus of the intersection of the tangent at any point with the perpendicular on it from the focus 13 Prove that the straight line Ix my ρ will touch the ellipse if p2 Pa2 m2&2 and if p2 does not have this value find the equation of the two tangents at the points where Ix -f my ρ meets the ellipse 14 Find the equations of and the lengths of the axes of 66 Uxy 59 30 XIII -algebra antf Crigonomttri Solve the equations -f xy xz f- jn 05 Μ x- -y χ and show that if the roots of the equation then ax1 bx x1 ן What more worth lowers the price penny dozen
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