Restoration of the card-table 19th century: how to handle the edge of velvet?

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Tabletop. Circling - veneer, in mid-bought cotton velvet, rather thick, ca. 1-1.5mm. Edges sypyatsya. Veneers and velvet, respectively, at a suitable level to each other, butt-in-butt. How to glue the velvet on the basis of (the tree) and how to treat the edges to avoid further scratches tissue and spread it. (used to be pasted as velvet, but not loose, thread not crawling or anything processed). Thank you.