The Roman theatre looks very similar to the Greek one, but there are significant differences. Starting from De Architectura by Vitruvius, let's analyze the history and the structure of this building.
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Drawings made by me, photos taken from Pixabay and Wikipedia (public domain).

Roman Odeon of Ancient Patras: By Carole Raddato from FRANKFURT, Germany The recently restored Roman Odeon of Ancient Patrai, built before 160 AD, Patras, Greece, CC BYSA 2.0, https://commons.wikimedia.org/w/index...

Photos of artifacts taken from the Metropolitan Museum of Art, New York, The Met website (public domain); relief with theatrical masks, 1st century AD, housed at the J. Paul Getty Museum, Villa Collection, Malibu, California.
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Musics:
►from 00:13 to 04:42 ► Enchanted Journey by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 License. https://creativecommons.org/licenses/...
Source: http://incompetech.com/'>http://incompetech.com/music/royalty...
Artist: http://incompetech.com/'>http://incompetech.com/

► from 04:28 to 07:25 ► Aretes by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 License. https://creativecommons.org/licenses/...
Source: http://incompetech.com/'>http://incompetech.com/music/royalty...
Artist: http://incompetech.com/'>http://incompetech.com/