, 2019

Let $k_1,\ldots,k_5$ be five circles in the plane such that $k_1$ and $k_2$ are externally tangent to each other at point $T$, $k_3$ and $k_4$ are externally tangent to both $k_1$ and $k_2$, $k_5$ is externally tangent to $k_3$ and $k_4$ at points $U$ and $V$, respectively, moreover $k_5$ intersects $k_1$ at $P$ and $Q$, like shown in the figure.