on horseback

from The Collaborative International Dictionary of English v.0.48

Horseback \Horse"back`\, n.
   1. The back of a horse.
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   2. An extended ridge of sand, gravel, and boulders, in a
      half-stratified condition. --Agassiz.
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   {On horseback}, on the back of a horse; mounted or riding on
      a horse or horses; in the saddle.
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            The long journey was to be performed on horseback.
                                                  --Prescott.
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