What is the difference between race, nationality, ethnicity?

Two examples. From the Yan Shi Gu’s annotated Book of Han, volume 96:

烏孫於西域諸戎其形最異。今之胡人青眼、赤須,狀類彌猴者,本其種也。

Translation (by me, so don’t count on it):

“Wusun have the most different shape of the Xirongs in the Western Regions. Today’s barbarians have blue eyes, red beards, and macaques are their own kind.”

From Dio’s Roman History, Epitome of Book LXXVIII. Translation courtesy of Earnest Cary, PhD on the basis of the version of Herbert Baldwin Foster, PhD:

"Antoninus belonged to three races; and he possessed none of their virtues at all, but combined in himself all their vices; the fickleness, cowardice, and recklessness of Gaul were his, the harshness and cruelty of Africa, and the craftiness of Syria, whence he was sprung on his mother’s side. "

~Max