Behold, a he-goat - This was Alexander the Great; and a goat was a very proper symbol of the Grecian or Macedonian people. Bp. Newton very properly observes that, two hundred years before the time of Daniel, they were called Aegeadae, the goats' people; the origin of which name is said to be as follows: Caranus, their first king, going with a multitude of Greeks to seek a new habitation in Macedonia, was advised by an oracle to take the goats for his guides; and afterwards, seeing a herd of goats flying from a violent storm, he followed them to Edessa, and there fixed the seat of his empire, and made the goats his ensigns or standards; and called the place Aege or Aegea, the goats' town; and the people Aegeadae, the goats' people; names which are derived from αιξ, αιγος, a goat. The city Aege or Aegea, was the usual burying-place of the Macedonian kings; and, in reference to this origin, Alexander called his son by Roxana, Alexander Aegus, Alexander the goat. All this shows the very great propriety of the symbol here used.
Came from the west - Europe lies westward of Asia.
On the face of the whole earth - Carrying every thing before him.
Touched not the ground - Seemed to fly from conquest to conquest. By the time Alexander was thirty years of age he had conquered all Asia: and, because of the rapidity of his conquests, he is represented as a leopard with four wings, in the preceding vision.
A notable horn between his eyes - This, says the angel, is the first king, Daniel 8:21, that is, the first kingdom of the Greeks in Asia, which was erected by Alexander; and continued some years in his brother Philip Aridaeus, and in his two young sons, Alexander Aegus and Hercules. See Newton.