I would guess that it means that if $N$ is the normal vector to the plane, then the dot products $N \cdot \alpha$ and $N \cdot \beta$ have opposite signs. In other words, $\alpha$ and $\beta$ are on opposite sides of the plane.
I would guess that it means that if $N$ is the normal vector to the plane, then the dot products $N \cdot \alpha$ and $N \cdot \beta$ have opposite signs. In other words, $\alpha$ and $\beta$ are on opposite sides of the plane.