Adhering Plates of Glass to Each Other?

That seems like a large surface so trying to use some glues may be difficult as the packaging is in very small amounts. Loctite is one of those that is often recommended but have never seen a large container.

With this kind of project it might be a good idea to check out several different type stores and read up on what will work best for this. Auto parts, hardware (Ace is good), Walmart, Home Depot, even craft stores. Containers should state if they are good for glass to/on glass, dry clear, outdoor or just indoor, waterproof, instructions for use.
I do know that glass has to be very clean, especially no "oil" (like from fingerprints). Some recommendations: E-6000, Gorilla Glue (might be indoor only), Araldite 20/20, and I believe there are several others (like marine glue) and most of these are good and dry clear. There are also some good sites on YouTube that show how to do this.

www.glass-etching-kits.com/uv_glass_glue_orders.htm

www.walmart.com/.../747321942

I did want to say that since this appears to be a pretty big project it would seem your best route would be to gather several smaller pieces of glass and start with one brand of glue (or even more than one) and do a trial run to see what results work best for you.

It would also give you a chance to learn from any mistakes or problems you may encounter.