hegeomai most often expresses considering or regarding someone or something, and can also identify a leader or ruler.

The prevailing use concerns an evaluation or judgment: people regard others as worthy, consider a course necessary, or count something as gain, loss, joy, or salvation. In a smaller group of participial uses, it identifies a ruler or leaders within a people or assembly.

1. Considering, regarding, or counting · dominant

   The verb marks an assessment in clauses about how something or someone is viewed: in 1 Timothy 6:1 the APB renders bondservants regarding their masters as worthy of honor, while in Philippians 3:7 it renders a former gain regarded as loss. It also frames decisions and valuations, including considering a gift-related action necessary in 2 Corinthians 9:5, counting trials as joy in James 1:2, and regarding the Lord's patience as salvation in 2 Peter 3:15.

   1 Timothy 6:1Philippians 3:72 Corinthians 9:5James 1:22 Peter 3:15Philippians 2:3
2. A ruler or recognized leader · common

   Present middle participial forms occur with persons identified by their leading status. In Acts 7:10 the APB renders Joseph as appointed “ruler over Egypt,” and Acts 15:22 describes Judas and Silas as “leading men among the brothers”; Hebrews 13:17 addresses those rendered “your leaders.”

   Acts 7:10Acts 15:22Hebrews 13:17Hebrews 13:7Hebrews 13:24Matthew 2:6

In the Anselm Project Bible: Across the evaluative passages, the APB variously uses “regard,” “consider,” “count,” and “deemed.” In participial leadership contexts it uses “ruler,” “leading men,” and “leaders”; these are verse-level renderings rather than definitions.