A Hippodrome is, in the English students meet, a name for a theatre — often a large old one for shows, songs, and dancing. Towns named a theatre The Hippodrome the way others named one The Empire or The Palace; it is a house name on the sign, not a special kind of play. You buy a ticket to the Hippodrome and you sit in seats facing a stage. Though actually the name is much older. In Greek it was a track where horses and chariots raced: hippo means horse, and drome means a running place. Those race grounds were big public shows, so later people borrowed the grand name for music halls and theatres, especially in Britain. In French, hippodrome can still mean a horse-racing track. In English, if the word is on a poster, you are almost never going to see horses. Use a capital H when it is that building's name.