appropriately
axios describes acting or conducting oneself in a way fitting God, the Lord, a calling, the gospel, or holy ones.
The attested use describes conduct or treatment carried out in a manner fitting a stated person, calling, or message. It modifies appeals to walk or conduct oneself in relation to God, the Lord, a calling, and the gospel, and also describes welcoming and sending people in a fitting manner.
Senses in use
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Conduct fitting a stated standard · dominant
As an adverb, it qualifies appeals to walk or conduct oneself: in 1 Thessalonians 2:12 the APB renders walking in relation to God, and in Colossians 1:10 it places such walking alongside pleasing him, bearing fruit, and growing in knowledge. Ephesians 4:1 connects the conduct with the calling received, while Philippians 1:27 connects it with standing firm and striving together for the faith of the gospel.
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Treatment and sending fitting God or holy ones · common
In 3 John 1:6 the adverb qualifies sending people on after their love has been testified before the assembly. In Romans 16:2 it qualifies welcoming her in the Lord and standing by her in a matter of need; the APB renders both clauses with a manner fitting the stated relationship.
In the Anselm Project Bible: The APB commonly renders the adverbial relation with "worthily" or "in a manner worthy of," in clauses about walking, conduct, welcoming, and sending. Because the APB is a whole-verse translation, these renderings show the clause-level presentation rather than a fixed English equivalent.