other side
peran marks a location or destination across a named boundary, especially the Jordan or a body of water.
As a grammatical location-and-direction marker, πέραν identifies a place or intended destination across the Jordan, a sea, a lake, or a brook; the supplied clauses show it with both prepositional and adverbial morphology.
Senses in use
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Marker of location or movement across a boundary · dominant
The form is tagged as a preposition in clauses locating people or regions across the Jordan, as in John 1:28 and Matthew 19:1. Tagged as an adverb in travel clauses, it marks the destination reached or sought across a body of water: in Mark 4:35 the APB renders the instruction, "Let us pass through to the other side," and in Luke 8:22 it renders, "Let us go across to the other side of the lake."
In the Anselm Project Bible: The APB variously presents the relevant relation with "across," "beyond," and "the other side." These render the overall clauses rather than establishing separate meanings for the term.