Mathematical Questions and Solutions, Band 20

a+b+c AB² axis biquadratic equation chord circle circular point column confocal conic cos² cusps distance double tangent drawn ellipse envelope equal equation Euler's theorem G. S. CARR given hence hyperbola hypotenuse integral J. J. SYLVESTER J. L. KITCHIN JAMES COCKLE lamina line infinity locus multiplying nine-point circle obtain opposite sides P₁ parallel perpendicular plane points at infinity points of contact polygon polyhedron positive Professor CROFTON Professor WOLSTENHOLME Proposed by Professor prove Pythagorean triangles Question radii radius real asymptotes right angles right-angled triangle roots side-difference sin² sin³ Solution by Professor square number straight line Substituting taken at random theorem triangle ABC tricusped hypocycloid values Watson's whence