When they saw the star, they rejoiced exceedingly with great joy.
We have here the wise men's humble attendance upon this new-born King of the Jews, and the honours they paid him. From Jerusalem they went to Bethlehem, resolving to seek till they should find; but it is very strange that they went alone; that not one person of the court, church, or city, should accompany them, if not in conscience, yet in civility to them...
Commenting on Matthew 2:9-12
When they saw the star,.... Which by its appearance, size, brightness, &c. they knew to be the same with that which they had seen, when in their own country; they rejoiced with exceeding great joy; a "pleonasm" or a redundancy of expression frequently used by the Hebrews, see Joh 4:6 and the Septuagint there; setting forth the rapture, the excess of joy they were in...
Verse 10. No specific notes from Barnes on this verse. (l) "rejoiced with exceeding joy"