themelioo describes establishing something on a secure basis, whether a house and the earth or people in faith and love.

The dominant attested use describes people as established in connection with faith, love, and endurance; the remaining uses describe the founding of the earth and a house upon rock.

1. Establishing people in faith and love · dominant

   In Colossians 1:23, the perfect passive participle describes those continuing in faith as “founded and steadfast,” without shifting from gospel hope. In Ephesians 3:17, the same participial form occurs with dwelling through faith and being “rooted and founded” in love; in 1 Peter 5:10, the future active form stands in a sequence of promised divine actions after suffering, where the APB renders “establish” twice and does not isolate the term's exact English correspondence.

   Colossians 1:23Ephesians 3:171 Peter 5:10
2. Founding a created thing or structure · common

   In Hebrews 1:10, the aorist active form addresses the Lord as the one who “founded the earth in the beginning.” In Matthew 7:25, the pluperfect passive form explains why the house did not collapse under rain, rivers, and winds: the APB renders it as having been “founded upon the rock.”

   Hebrews 1:10Matthew 7:25

In the Anselm Project Bible: The APB uses “founded” for the earth, the house, and the participial descriptions in Colossians 1:23 and Ephesians 3:17. In 1 Peter 5:10 it includes “establish” twice within a larger sequence, so the translation does not make the term's individual contribution certain.