2,0)\text{,}\) \((0,-1)\text{,}\) and \((0,3)\text{.}\) For what values of the constant \(k\) is this conic section an ellipse? Now assume that \(k\) has the value in the middle of the interval found ...

Apollonius of Perga, who lived from 240 BC to c. 190 BC, was a brilliant ancient Greek mathematician known for his work on ...

The outer shape is an ellipse with two extra dissimilar conical sections that appear to be a parabola and a hyperbola ... end of the ellipse. Conics were described by Appolonius of Perga (c200BCE).