to pray
tse.la denotes praying, whether Daniel petitions before God or offerings are made for the king's life.
The attested use is praying directed toward God: Daniel is found making petition and supplication, while worshipers pray for the king and his sons.
Senses in use
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Praying to God in petition or intercession · dominant
Both occurrences are Piel active participles. In Daniel 6:11 the singular form occurs where Daniel is found making petition and supplication before his God; in Ezra 6:10 the plural form occurs in a purpose clause concerning prayer for the life of the king and his sons.
In the Anselm Project Bible: The APB presents the activity as “making petition and supplication before his God” in Daniel 6:11 and explicitly as “pray for the life of the king and his sons” in Ezra 6:10. These phrases describe the clauses rather than fixed English renderings of the term.