Let $X$ be a strictly $K$-analytic space and $L$ a line bundle on $X$. A metric $\|\cdot\|$ on $L$ is called piecewise linear if there is a G-covering $(V_{i})_{i\in I}$ and frames $s_{i}$ of $L$ over $V_{i}$ for every $i\in I$ such that $\|s_{i}(\cdot)\|=1$ on $V_{i}$.