# MathLapse: Constructions by pin-and-string — conics

films

## Licence

## Crédits

- Atractor Association

MathLapse Festival 2016 Winner. This MathLapse illustrates a process for drawing the three conics (ellipse, parabola and hyperbola) by pin-and-string constructions.

Ellipse:

There is a string attached to two nails. The string is stretched using chalk; when the chalk slides along the string, an ellipse is drawn.

Parabola:

There is a string attached to a nail and to the top of a set-square that is resting on a ruler (not touching the nail). With the chalk the string is stretched and pushed against the set-square: when the set-square slides on the ruler, the chalk draws a parabola arc.

Hyperbola:

A string is attached to a nail and to one end of a ruler, the other end of which rotates around another nail. With the chalk the string is stretched and pushed against the ruler: when the ruler turns around the second nail, the chalk draws a hyperbola arc.