Excircles

Given a triangle we define its excircles as the circumferences that have as a center the hyperbolic excenter and is tangent on each side of the triangle or to a prolongation of the side.

As in the case of the inner angle bisectors we have to take into account how we plot the excircles, that is, which point on the triangle side we consider as a point that belongs to the excircle. First we have to draw the perpendicular line in each one of the sides that passes through one of the excenters.

Creating the tool it is necessary to have a case where exists the three exicenters to create three excircles. In this way we ensure that whenever the exicentre exists it will plot its excircle.



Triangles
Hyperbolic geometry