Answer:
Here is how I define 'gymnasium':
NOUN
1) an ancient Greek educational center with various areas for physical and intellectual development, especially areas for physical exercises in the nude
2) a building with various areas for the performance of physical exercises housing apparatus for strength training and aerobics as well as locker rooms, shower rooms, staff offices, etc.
3) an auditorium for physical exercises and sports that is usually part of the campus of an educational institution
4) in Germany and other European countries, a school that prepares students for university