This is typically done.
Joining plastic sheets together.
You could also use a 60 40 mixture of methylene chloride and ethylene dichloride.
Glue acrylic sheeting using cement solvent.
Gluing together acrylic sheeting is a completely different process than traditional gluing methods.
Coat the bonding edge of one.
To fuse polycarbonates all you need are your sheets and methylene chloride.
Clean the two pieces of plastic to be epoxied together.
Rob shows a clip of plastic laminating where heat fuses plastic to paper.
In fact gluing acrylic sheeting together is considered joining rather than gluing.
This is because in order to properly connect acrylic sheeting the adhesive solvent needs to be placed along the joints to ensure a durable finish.
Combining these two will give a little longer curing time than using methylene chloride alone thus allowing more time to get the parts in correct position.
The epoxy will fail if the pieces are not clean.