The first two pictures are taken in Plombières-les-Bains and the third one is in Luxeuil-les-Bains. If you look at the french wiki version you find more detailed information.

Both are spas as the area has lots of mineral springs. I used the spa in Plombières-les-Bains. Very interessting place - the spa is spread over different buildings which are connected by tunnels build by the Romans. From the Hamam you can even look into a hamam that was also build by the Romans, but is not used anymore.

There is also a public trinking fountain very you can go and trink the water.