Daniel 8:22

Now that being broken
That is, the great horn Alexander, the first king of the Grecian monarchy; whose death, either by drunkenness, or by poison, is here expressed by being "broken". The sense is, he being dead, or upon his death, whereas four stood up for it;
four horns rose up in the room and stead of the great one broken; see ( Daniel 8:8 ) these signified that four kingdoms shall stand up out of the nation;
which were the kingdoms of Egypt, Asia, Macedonia, and Syria, into which the Grecian monarchy was divided after the death of Alexander; and the first kings of them were all of the Grecian or Macedonian nation, and not Egyptians, Armenians, Syrians: but not in his power;
they did not rise and stand up in the power and strength, in the grandeur and magnificence, of Alexander; they were not equal, but greatly inferior to him, though they were notable horns, or famous kingdoms, as in ( Daniel 8:8 ) . Saadiah interprets it, not of his seed or offspring; these were not his sons that were the heads of these kingdoms; but his captains or generals.