Sketch the graph of the ellipse \(\ds \frac{x^2}{9}+\frac{y^2}{16}=1\) and determine its foci. Let \(C\) be the conic which consists of all points \(P=(x,y)\) such ...

Identify and sketch the graph of the conic section defined by \begin{equation*} r=\frac{1}{2-4\cos \theta } \end{equation*} in the \(x\text{,}\) \(y\text{,}\) plane without converting it to cartesian ...

"When Apollonius introduced conic sections, he demonstrated that it was not necessary for the plane intersecting the cone to be perpendicular to it. He went further to show that it could be an ...