"The triple point of a substance is the pressure and temperature at which all three phases coexist in equilibrium."
Take water for example.
Let's say I put some water in a rigid container and add some heat.
Then both the temperature and pressure rise because the volume is constant.
If the triple point occurs during the heating, then that implies $V=\frac{nRT}{P}$, where $(T,P)$ is the triple point.
Does that mean the triple point can only exist in that size of a container??