to edge in with

from The Collaborative International Dictionary of English v.0.48
Edge \Edge\, v. i.
   1. To move sideways; to move gradually; as, edge along this
      way.
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   2. To sail close to the wind.
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            I must edge up on a point of wind.    --Dryden.
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   {To edge away} or {To edge off} (Naut.), to increase the
      distance gradually from the shore, vessel, or other
      object.

   {To edge down} (Naut.), to approach by slow degrees, as when
      a sailing vessel approaches an object in an oblique
      direction from the windward.

   {To edge in}, to get in edgewise; to get in by degrees.

   {To edge in with}, as with a coast or vessel (Naut.), to
      advance gradually, but not directly, toward it.
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