Lazy factor aside, I’d have no qualms about taking on a project like this. With the right joints, the down pressure on them would only increase the safety factor [of the assembly supporting the glass.
I would take some doodling, but many are the approaches, I see, possible. All would be in the mortise and tenon category, but they could vary from wedges like dove tails to just straight cuts. Of course, all would only go into each leg only as much as needed to assure a joint and to allow all for legs to get in on the game.
In the end, it boils down to nothing more than some nasty angle work, but some short, vertical 2×4′s (cut just long enough to support the glass) to temporarily hold things in position would give you the feel of a starting place.
I’m guessing you’re going 7/16" if not 1/2" of tempered glass.