Question 196
From a point $S$ external to a circumference $\gamma$ of radius 1, draw a straight line tangent to $\gamma$ and indicate the point of tangency with $T$. By varying a point $P$ on $\gamma$, the center of gravity of the triangle $P S T$ describes a curve $\gamma^{\prime}$. What is the ratio between the length of $\gamma^{\prime}$ and that of $\gamma$?