1. First of all, of course, they are all surnamed Yuan, otherwise Yuan Shikai could not recognize him as an ancestor.

These two people are fellow villagers, both from Henan, and it seems that they are both from Zhoukou, Henan. They all came from a continuous dynasty and held important positions in the previous dynasty.

3. They are all in troubled times that have not existed for hundreds of years. Yuan Shu was in troubled times in the Three Kingdoms at the end of Han Dynasty, and Yuan Shikai changed dynasties in the late Qing Dynasty and the Republic of China.

They all gained power and became great warlords because of their crusade against traitors. Yuan Shu crusaded against Dong Zhuo and divided it into Huainan; Yuan Shikai trained in a small station and established a new army.

They are all emperors, but they are all fake emperors, that is, they seal themselves off and force a charlatan to say that they have the life to be emperors.