In architecture or structural engineering or building a purlin or purline is a horizontal structural member in a roof.
Hip roof purlin support.
Stabilization typically involves installation of a purlin system.
Hip rafters are simply called hips and are shown here as brown.
Purlins support the loads from the roof deck or sheathing and are supported by the principal rafters and or the building walls steel beams etc.
The purlins are supported by vertical or slightly angled bracing.
All angles can be found on the chappell univer.
If you see sagging rafters recommend stabilization by a qualified contractor.
Purlins as shown in sample photos below are installed for rafter support.