to meet half way

Meet \Meet\ (m[=e]t), v. t. [imp. & p. p. {Met} (m[e^]t); p. pr.
   & vb. n. {Meeting}.] [OE. meten, AS. m[=e]tan, fr. m[=o]t,
   gem[=o]t, a meeting; akin to OS. m[=o]tian to meet, Icel.
   maeta, Goth. gam[=o]tjan. See {Moot}, v. t.]
   1. To join, or come in contact with; esp., to come in contact
      with by approach from an opposite direction; to come upon
      or against, front to front, as distinguished from contact
      by following and overtaking.
      [1913 Webster]

   2. To come in collision with; to confront in conflict; to
      encounter hostilely; as, they met the enemy and defeated
      them; the ship met opposing winds and currents.
      [1913 Webster]

   3. To come into the presence of without contact; to come
      close to; to intercept; to come within the perception,
      influence, or recognition of; as, to meet a train at a
      junction; to meet carriages or persons in the street; to
      meet friends at a party; sweet sounds met the ear.
      [1913 Webster]

            His daughter came out to meet him.    --Judg. xi.
                                                  34.
      [1913 Webster]

   4. To perceive; to come to a knowledge of; to have personal
      acquaintance with; to experience; to suffer; as, the eye
      met a horrid sight; he met his fate.
      [1913 Webster]

            Of vice or virtue, whether blest or curst,
            Which meets contempt, or which compassion first.
                                                  --Pope.
      [1913 Webster]

   5. To come up to; to be even with; to equal; to match; to
      satisfy; to ansver; as, to meet one's expectations; the
      supply meets the demand.
      [1913 Webster]

   {To meet half way}, literally, to go half the distance
      between in order to meet (one); hence, figuratively, to
      yield or concede half of the difference in order to effect
      a compromise or reconciliation with.
      [1913 Webster]