to hit on

from The Collaborative International Dictionary of English v.0.48
Hit \Hit\, v. i.
   1. To meet or come in contact; to strike; to clash; --
      followed by against or on.
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            If bodies be extension alone, how can they move and
            hit one against another?              --Locke.
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            Corpuscles, meeting with or hitting on those bodies,
            become conjoined with them.           --Woodward.
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   2. To meet or reach what was aimed at or desired; to succeed,
      -- often with implied chance, or luck.
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            And oft it hits
            Where hope is coldest and despair most fits. --Shak.
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            And millions miss for one that hits.  --Swift.
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   {To hit on} or {To hit upon}, to light upon; to come to by
      chance; to discover unexpectedly; as, he hit on the
      solution after days of trying. "None of them hit upon the
      art." --Addison.
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