Conic sections by eccentricity

MathematicsVectors & Coordinate GeometryAges 15–16

With the same focus and directrix, only the eccentricity e changes: e < 1 gives an ellipse, e = 1 a parabola, e > 1 a hyperbola. The simulation draws the conic, marks the focus and axis, and lets you check the property MF = e·d(M, Δ) at a point M you can drag along the curve.