## The Messenger of Mathematics, Volume 5 |

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arbitrary assemblage assume asymptotes axes axis binomial theorem bisects cardioidal centre chords parallel circle circular points cone Conic Sections conies conjugate diameters conjugate hyperbolas constant coordinates corresponding cos0 cosco curvature curve cusps deduced determine differential coefficients differential equation distance double parabola double tangent ellipse equal equations of motion expression fixed focal chord foci focus function geodesies geometrical gives Glissettes Hence hypocycloid infinite integral intersection line at infinity line infinity locus meet the directrix method obtained ordinates orthogonal projection orthotomic passing perpendicular points at infinity points of contact polar position proof Prop proposition prove quartic quartic function quartic surface quaternion rectangular hyperbola regard result right angles shew shewn sides sin0 solution squares straight line subtends suppose surface theorem third class triangle tricusp values velocity vertex writing