# Curves through Given Points in the Plane

Curves through Given Points in the Plane

In this Demonstration we construct curves through two, three, or five specified points in the plane. The three buttons correspond to a construction of a line through two distinct points, a circle through three distinct points, and a general conic section (ellipse, parabola, or hyperbola) through five distinct points, respectively. In each case, dragging the points, we can obtain degenerate curves by making one or more points coincide.