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 ...

The hyperbola, if extended,crosses the central major axis at the opposite (missing) end of the ellipse. Conics were described by Appolonius of Perga (c200BCE). The elliptical Roman Coliseum ...