## Mathematical Questions with Their Solutions, from the "Educational Times"... |

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asymptotes axes bisecting bisectors centre Ceva's theorem chord circumscribed circle coefficients coincide common tangent conicoid conies conies which pass connectors corresponding cos2 cosec critical conic curve cycloid denote diagonals diameter double point draw ellipse envelope equal equation F. D. Thomson fixed points foci four points given angle given conic given line given triangle harmonic conjugate Harmonic Series hence homographic hyperbola inscribed intersection involution line at infinity line joining locus meet middle points nine-point circle pairs of conjugate parabola parallel pencil perpen perpendiculars perpendiculars be drawn plane points of contact polar Proposed prove quadric quadrilateral quartic Question radius rectangle respectively right angles segments self-conjugate sin2 Solution square straight line subtend tangent tetrahedron theorem three given points touch triangle ABC triangle of reference trilinear coordinates vertices whence