Bezier Curve
Quadratic Bezier Curve: Bezier curves are used in art and design to produce smooth curves between two endpoints (shown here as V1 and V2). In a quadratic Bezier curve, two control points are also used (shown here as C1 and C2). The control points determine the direction of the curve at endpoints.
This construction utilizes dilations with a scale factor equal to the slider value, c.
Feel free to adjust the positions of the four blue points. Move the slider slowly to fill in the curve. Click "Clear Traces" to erase the red traces.