Tangencias Apolonio PCC

In the video "Apollonius PCC Tangencies," we see how to construct, if possible, a circle tangent to two given circles and passing through a given point. To do this, in the general case, we use the properties of the centers of direct and inverse homothety between two given circles, as well as the properties of the radical axis. In other cases studied, we use the inversion technique with respect to a circle, which must be chosen appropriately to reduce the problem to the general PCC case, or to some of the cases studied previously, such as the PRC, PPC, and others. With this, throughout this series of videos, we have studied seven of the ten possible problems. In the next video, we will study the RRC case, which consists of constructing a circle that is tangent to two given lines and a given circle.