Having short breath or disordered respiration.(adjective)
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Use "broken-winded" in a sentence
"At last I wore him clean out, and he lay down, broken-winded, broken-hearted, hungry, and thirsty."
"He will get there, but with broken-winded soldiers, fit for nothing."
"Nor should it be forgotten, that in order to be in thorough efficiency the horses must not only be well fed and in good condition, but at the same time so seasoned by toil that they will go through their work without the risk of becoming broken-winded."