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The theatres were originally built on a very large scale to accommodate the large number of people on stage, as well as the large number of people in the audience, up to fourteen thousand. Mathematics played a large role in the construction of these theatres, as their designers had to able to create acoustics in them such that the actors' voices could be heard throughout the theatre, including the very top row of seats.

Ground Plan of the Theatre at Iassus

The theatres were originally built on a very large scale to accommodate the large number of people on…