Daniel 8:21
21. the first king—Philip was king of Macedon before Alexander, but the latter was the first who, as a generalissimo of Greece, subdued the Persian empire.
Daniel 10:20
20. Knowest thou wherefore—The angel asks, after Daniel had recovered from his fright, whether he has understood what was revealed (Da 10:13). On Daniel, by his silence, intimating that he did understand, the angel declares he will return to renew the fight with the evil angel, the prince of Persia. This points to new difficulties to the Jews' restoration which would arise in the Persian court, but which would be counteracted by God, through the ministry of angels.
prince of Grecia shall come—Alexander the Great, who conquered Persia, and favored the Jews [CALVIN]. Rather, as the prince of Persia is an angel, representing the hostile world power, so the prince of Grecia is a fresh angelic adversary, representing Greece. When I am gone forth from conquering the Persian foe, a fresh one starts up, namely, the world power that succeeds Persia, Greece; Antiochus Epiphanes, and his antitype Antichrist, but him, too, with the help of Michael, Israel's champion, I shall overcome [GEJER].Daniel 11:2-4
2. three kings in Persia—Cambyses, Pseudo-Smerdis, and Darius Hystaspes. (Ahasuerus, Artaxerxes, and Darius, in Ezr 4:6, 7, 24). The Ahasuerus of Esther (see on Da 9:1) is identified with Xerxes, both in Greek history and in Scripture, appearing proud, self-willed, careless of contravening Persian customs, amorous, facile, and changeable (Da 11:2).
fourth . . . riches . . . against . . . Grecia—Xerxes, whose riches were proverbial. Persia reached its climax and showed its greatest power in his invasion of Greece, 480 B.C. After his overthrow at Salamis, Persia is viewed as politically dead, though it had an existence. Therefore, Da 11:3, without noticing Xerxes' successors, proceeds at once to Alexander, under whom, first, the third world kingdom, Grecia, reached its culmination, and assumed an importance as to the people of God. stir up all—Four years were spent in gathering his army out of all parts of his vast empire, amounting to two millions six hundred and forty-one thousand men. [PRIDEAUX, Connexion, 1.4. l. 410].3. mighty king . . . do according to his will—answering to the he-goat's "notable horn" (Da 8:6, 7, 21). Alexander invaded Persia 334 B.C., to avenge the wrongs of Greece on Persia for Xerxes' past invasion (as Alexander said in a letter to Darius Codomanus, ARRIAN, Alexander. 2.14.7).
4. kingdom . . . divided toward . . . four winds—the fourfold division of Alexander's kingdom at his death (Da 8:8, 22), after the battle of Ipsus, 301 B.C.
not to his posterity—(See on Da 8:8; Da 8:22). nor according to his dominion—None of his successors had so wide a dominion as Alexander himself. others besides those—besides Alexander's sons, Hercules by Barsine, Darius' daughter, and Alexander by Roxana, who were both slain [MAURER]. Rather, besides the four successors to the four chief divisions of the empire, there will be other lesser chiefs who shall appropriate smaller fragments of the Macedonian empire [JEROME].