Therefore the male goat grew very great: and when he was strong, the great horn was broken; and instead of it came up four notable ones toward the four winds of heaven.
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Aquinas Study Bible
four horns: Alexander's four generals rose up in his place and divided his empire among themselves. For Ptolemy, the son of Lagos, seized Egypt; the Philip who was also called Aridaeus, the half- brother of Alexander took over Macedonia; Seleucus Nicanor took over Syria, Babylonia, and all the kingdoms of the East; and Antigonus ruled over Asia Minor. "But they shall not rise up with his power" (verse 22), since no one was able to equal the greatness of Alexander himself. (St. Jerome) ...
Broken, by death. Usher, the year of the world 3681
Four. Seleucus, Antigonus, Philip, and Ptolemeus, the successors of Alexander, who divided his empire among them. (Challoner)
Other generals held out for some time. Philip was only a nominal king; Antipater governed Macedon and Greece. Syria, Asia, and Egypt, formed three other kingdoms. All four marked out by the four heads of the leopard, chap. vii. 6. But the prophet is intent upon Syria and Egypt, which had most to do with the Jews. (Calmet) ...