## Building curves: hyperbola

The hyperbola is the locus of points P of the plane such that is constant the
module of the difference ld1 - d2l of the distances d1 and d2, respectively,
from P to two fixed points F1 and F2, called foci of the hyperbola.

Moving the points F1 and F2 you adjust the foci of the hyperbola;

Moving the point A you adjust the opening of hyperbola;

Click the right mouse button on the point P and click on "Trace On";

Move the point B to plot the hyperbole.

Created with GeoGebra

**Step-by-step construction:**

Mark two points F1 and F2.

Mark a point A such that the distance F1A is less than the distance F1F2.

Make a circle *c1* with center in F1 and radius F1A.

Mark on the circle *c1* a point B.

Trace the line* r * through F1 and B.

Trace the segment BF2 and its midpoint M.

Trace the line *s* perpendicular to segment BF2 and through M.

P is the intersection of line *r* with the line *s*.

Cliking in "**Play**", you can fallow the step-by-step
construction.

**In the space below, you can make your construction of hyperbola.**

Building
curves: hyperbola by MDMat is licensed under the Creative Commons Atribuição-Uso Não-Comercial-Compartilhamento pela mesma Licença
3.0 Brasil License.