Hebrews 7:11

If now therefore perfection came by the priesthood of the Levites - for under that priesthood the people received the law - what needed it furthermore that another priest should rise, after the order of Melchizedek, and not after the order of Aaron?

Hebrews 8:7

For if that first testament had been faultless, then should no place have been sought for the second.

Galatians 2:21

I despise not the grace of God: For if righteousness come of the law, then is Christ died in vain.

Hebrews 5:6

As he also in another place speaketh, "Thou art a priest forever after the order of Melchizedek."

Hebrews 7:17-19

For he testifieth, "Thou art a priest forever, after the order of Melchizedek."

Galatians 4:3

Even so we, as long as we were children, were in bondage under the ordinances of the world:

Galatians 4:9

But now, seeing ye know God - yea rather are known of God - how is it that ye turn again unto the weak and beggarly ceremonies, whereunto again ye desire afresh to be in bondage?

Colossians 2:10-17

and ye are complete in him, which is the head of all rule and power.

Hebrews 5:10

and is called of God a high priest, after the order of Melchizedek.

Hebrews 6:20

whither the forerunner is for us entered in, I mean Jesus that is made a high priest forever, after the order of Melchizedek.

Hebrews 7:15

And it is yet a more evident thing, if after the similitude of Melchizedek there arise another priest,

Hebrews 7:21

Those priests were made without an oath: but this priest with an oath, by him that said unto him, "The Lord sware, and will not repent: Thou art a priest forever after the order of Melchizedek."

Hebrews 8:10-13

For this is the testament that I will make with the house of Israel: After those days, saith the Lord, I will put my laws in their minds, and in their hearts, I will write them, and I will be their God, and they shall be my people.

Hebrews 10:1-4

For the law - which hath but the shadow of good things to come, and not the things in their own fashion - can never with the sacrifices which they offer year by year continually make the comers thereunto perfect.

Treasury of Scripture Knowledge

Summary

If therefore perfection were by the Levitical priesthood, (for under it the people received the law,) what further need was there that another priest should rise after the order of Melchisedec, and not be called after the order of Aaron?

General references

Bible References

Perfection

Hebrews 7:18
Then the commandment that went afore, is disannulled, because of her weakness and unprofitableness.
Hebrews 8:7
For if that first testament had been faultless, then should no place have been sought for the second.
Hebrews 10:1
For the law - which hath but the shadow of good things to come, and not the things in their own fashion - can never with the sacrifices which they offer year by year continually make the comers thereunto perfect.
Galatians 2:21
I despise not the grace of God: For if righteousness come of the law, then is Christ died in vain.
Galatians 4:3
Even so we, as long as we were children, were in bondage under the ordinances of the world:
Colossians 2:10
and ye are complete in him, which is the head of all rule and power.

What

Hebrews 7:26
Such a high priest it becometh us to have, which is holy, harmless, undefiled, separate from sinners, and made higher than heaven.

Another

Hebrews 7:15
And it is yet a more evident thing, if after the similitude of Melchizedek there arise another priest,
Hebrews 5:6
As he also in another place speaketh, "Thou art a priest forever after the order of Melchizedek."
Hebrews 6:20
whither the forerunner is for us entered in, I mean Jesus that is made a high priest forever, after the order of Melchizedek.

General references

Numbers 20:26
and strip Aaron out of his vestments and put them upon Eleazar his son, and let Aaron be put unto his people and die there."