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Ok i have founded the Vertex_iterator to access the vertex of the Polygon


Vertex_iterator vertit;

vertit = polygon.vertices_begin ();
double x1 = vertit->x();
double x2 = vertit->y();


but the manual say into Polygon_2

 Point_2          pgn [ int i]           Returns a (const) reference to the 
i-th vertex.

so i don' t find any error on using

debug = polygon[0]