This compound verb intensifies θεωρέω, meaning to observe or consider carefully, to examine with attention. In Acts 17:23, Paul tells the Athenians that while ἀναθεωρῶν—carefully observing—their objects of worship, he found an altar inscribed "TO AN UNKNOWN GOD." Hebrews 13:7 exhorts readers to remember their former leaders, ἀναθεωροῦντες—considering carefully—the outcome of their way of life, and imitate their faith. Both contexts involve attentive observation that draws conclusions—Paul from pagan altars, the readers from leaders' faithful examples.