Mark 16:19: "So then the Lord Jesus, after he had spoken to them, was taken up into heaven and sat down at the right hand of God."
Colossians 3:1-4: "1 If then you have been raised with Christ, seek the things that are above, where Christ is, seated at the right hand of God. 2 Set your minds on things that are above, not on things that are on earth. 3 For you have died, and your life is hidden with Christ in God. 4 When Christ who is your life appears, then you also will appear with him in glory."
Psalm 110:1: "The LORD says to my Lord: 'Sit at my right hand, until I make your enemies your footstool.'"
Revelation 6:11-13: "11 Then they were each given a white robe and told to rest a little longer, until the number of their fellow servants and their brothers should be complete, who were to be killed as they themselves had been.
"12 When he opened the sixth seal, I looked, and behold, there was a great earthquake, and the sun became black as sackcloth, the full moon became like blood, 13 and the stars of the sky fell to the earth as the fig tree sheds its winter fruit when shaken by a gale."
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I think that last citation should actually be Revelation 5:11-13: "11 Then I looked, and I heard around the throne and the living creatures and the elders the voice of many angels, numbering myriads of myriads and thousands of thousands, 12 saying with a loud voice, 'Worthy is the Lamb who was slain, to receive power and wealth and wisdom and might and honor and glory and blessing!' 13 And I heard every creature in heaven and on earth and under the earth and in the sea, and all that is in them, saying, 'To him who sits on the throne and to the Lamb be blessing and honor and glory and might forever and ever!'"
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The text is public domain:
See, the Lord ascends in triumph;
Conqu'ring King in royal state,
Riding on the clouds, His chariot,
To His heav'nly palace gate.
Hark! The choirs of angel voices
Joyful alleluias sing,
And the portals high are lifted
To receive their heav'nly King.
Who is this that comes in glory
With the trump of jubilee?
Lord of battles, God of armies,
He has gained the victory.
He who on the cross did suffer,
He who from the grave arose,
He has vanquished sin and Satan;
He by death has crushed His foes.
While He lifts His hands in blessing,
He is parted from His friends;
While their eager eyes behold Him,
He upon the clouds ascends.
He who walked with God and pleased Him,
Preaching truth and doom to come,
He, our Enoch, is translated
To His everlasting home.
Now our heav'nly Aaron enters
With His blood within the veil;
Joshua now is come to Canaan,
And the kings before Him quail.
Now He plants the tribes of Israel
In their promised resting place;
Now our great Elijah offers
Double portion of His grace.
He has raised our human nature
On the clouds to God's right hand;
There we sit in heav'nly places,
There with Him in glory stand.
Jesus reigns, adored by angels;
Man with God is on the throne.
By our mighty Lord's ascension
We by faith behold our own.
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All of the Biblical texts cited deal with Christ's Ascension and sitting at the right hand of God, and generally, this is also what the hymn is about. Some passages, however, show up more clearly in some verses.
The verse from Mark is the basis of the beginning of the third verse: "While He lifts His hands in blessing, / He is parted from His friends; / While their eager eyes behold Him, / He upon the clouds ascends." The first few verses in the passage from Colossians 3 appear at the beginning of the last verse: "He has raised our human nature / On the clouds to God's right hand." Psalm 110:1 is elaborated upon in the second verse, which extols God's power, and the praise given to the Lamb in Revelation 5 appears in the first and final verses.
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The first few lines of the second verse ("Who is this that comes in glory / With the trump of jubilee? / Lord of battles, God of armies, / He has gained the victory") bear some resemblance to Psalm 24:8: "Who is the King of glory? The LORD, strong and mighty, the LORD, mighty in battle!"