Only one vessel was sunk. The rest were captured. In those days, sailors were paid by the ships captured (called prizes) and then sold at auction. Sinking them in battle was lost monies.
When ships became steel instead of wood, they no longer could be captured and sold at auction for prize money; with the exception of the Battle of Tsushima in 1905; that was the last time in history in which a battleship FLEET surrendered upon the high seas. But those were steel battleships and they were retained for use, and the others had sunk in battle.
At Trafalgar, wooden ships were captured.
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No British Ships were lost in the Battle of Trafalgar while 21 Franco-Spanish Ships were captured and one destroyed.
The Battle of Trafalgar was quite possibly the single most decisive Naval Victory in the history of Maritime Warfare.
Admiral Horatio Nelson died on his flagship HMS Victory, at the Battle of Trafalgar on 21st October 1805.
Order of battle at the Battle of Trafalgar happened in 1805.
The historic Battle of Trafalgar was fought off the coast of Spain, near Cape Trafalgar, on October 21, 1805.
Battle of Trafalgar
HMS Victory, during the Battle of Trafalgar, 21 October, 1805.