In the ancient imperial period, how were the left and right tenses of names arranged?

The names of Roman nobles generally have three parts. For example, Caesar's full name is gaius julius caesar. The first part, Gaius, called "praenomen" in Latin, is an unusual name, which is translated as "a vice name" here. The second part, Julies, is the name of the family, which is called "Norman" in Latin and translated as "surname" here. As I said before, Caesar is Julius' favorite. The third part, Caesar, is a name that is really often called. It is called "cognition" in Latin and translated as "main name" here. What we call "Scipio", "Gragu" and "Sura" are actually "primary names". The main names are often repeated. The so-called Gracchus and Scipio have the same main names.

Sometimes people will add a name to show respect after addressing some people by their real names. For example, there is "Africa" behind big and small Scipio, which is a reward for their contributions in Africa.

Excerpt from Renaissance Man —— Details of Caesar