DCockey
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By the same logic it is not possible to go upwind because it is impossible to sail directly into the wind, only sailing close hauled is possible.Downwind means moving in the same direction as the wind. In that case, the wind speed is the maximum theoretical speed. However, because of friction and the force approaching zero as the vessel approaches wind speed, it is not attainable. Alan's diagram shows a typical technique to increase VMG. That is not the same as going downwind; it is broad reaching.
But if it is possible to sail "upwind" by tacking between alternate close hauled courses it is possible to sail "downwind" by gybing between alternate broad reaching courses.
The important point is it is possible in some boats to make progress in the directly downwind direction faster than the true wind speed.