it follows that this conic section is an ellipse if \(0\lt k\lt 3\text ... we see that the eccentricity is \(e=2\) and the equation therefore represents a hyperbola. From \(\ds ed=\frac{1}{2}\) we ...

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 ...

Apollonius, the Greek mathematician, was known to the ancient world as "The Great Geometer," who devised the concepts of hyperbolas, ellipses, and parabolas. His book “The Conics of Apollonius ...

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 ...

Harold Wheeler are a prime example. A common model still used in many high schools is the wooden or plaster cone used to show how the conic sections (circle, ellipse, parabola, hyperbola) arise from ...