Make a frame on the floor where you want to anchor the lathe down out of 2x4 and caulk it so it will hold water.

Turn off the water pipes in the floor... (then freeze a thin layer of ice on that spot, then turn the floor on and mark the tubes.... )

Buy a bunch of dry ice and fill it just enough water to cover the surface, then put a blanket / sleeping. Bag over it until it freeze - then go turn the heater on and see what melts first... ??