Question

Multiple architectural orders were incorporated into the colosseum, including:

Answer 1

Multiple architectural orders were incorporated into the Colosseum, including: Corinthian and Ionic.
The Corinthian order is a principal characteristic of the  ancient Greek and Roman architecture. The Ionic order is easy to recognize. It has the two scrolls, called volutes, on its capital and a curved section between the volutes. The Corinthian order is similar to the Ionic, but the capital is more ornate and it is carved with two tiers of curly acanthus leaves.  

Answer 2

Multiple architectural orders were incorporated into the Colosseum, including Tuscan, Corinthian and Ionic.   
The Colosseum includes all the ancient architectural "orders", which are styles recognizable mainly by the columns employed. The order of the ground floor half columns is the Tuscan one (a Roman variation of the Doric order), on the second floor the semi-columns are Ionic and on the third floor Corinthian.