The Collaborative International Dictionary of English v.0.48:

Weigh \Weigh\, v. t. [imp. & p. p. Weighed; p. pr. & vb. n.
   Weighing.] [OE. weien, weyen, weghen, AS. wegan to bear,
   move; akin to D. wegen to weigh, G. w[aum]gen, wiegen, to
   weigh, bewegen to move, OHG. wegan, Icel. vega to move,
   carry, lift, weigh, Sw. v[aum]ga to weigh, Dan. veie, Goth.
   gawigan to shake, L. vehere to carry, Skr. vah. ????. See
   Way, and cf. Wey.]
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   1. To bear up; to raise; to lift into the air; to swing up;
      as, to weigh anchor. "Weigh the vessel up." --Cowper.
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   2. To examine by the balance; to ascertain the weight of,
      that is, the force with which a thing tends to the center
      of the earth; to determine the heaviness, or quantity of
      matter of; as, to weigh sugar; to weigh gold.
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            Thou art weighed in the balances, and art found
            wanting.                              --Dan. v. 27.
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   3. To be equivalent to in weight; to counterbalance; to have
      the heaviness of. "A body weighing divers ounces."
      --Boyle.
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   4. To pay, allot, take, or give by weight.
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            They weighed for my price thirty pieces of silver.
                                                  --Zech. xi.
                                                  12.
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   5. To examine or test as if by the balance; to ponder in the
      mind; to consider or examine for the purpose of forming an
      opinion or coming to a conclusion; to estimate
      deliberately and maturely; to balance.
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            A young man not weighed in state affairs. --Bacon.
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            Had no better weighed
            The strength he was to cope with, or his own.
                                                  --Milton.
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            Regard not who it is which speaketh, but weigh only
            what is spoken.                       --Hooker.
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            In nice balance, truth with gold she weighs. --Pope.
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            Without sufficiently weighing his expressions. --Sir
                                                  W. Scott.
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   6. To consider as worthy of notice; to regard. [Obs. or
      Archaic] "I weigh not you." --Shak.
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            All that she so dear did weigh.       --Spenser.
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   To weigh down.
      (a) To overbalance.
      (b) To oppress with weight; to overburden; to depress. "To
          weigh thy spirits down." --Milton.
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The Collaborative International Dictionary of English v.0.48:

Weighing \Weigh"ing\,
   a. & n. from Weigh, v.
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   Weighing cage, a cage in which small living animals may be
      conveniently weighed.

   Weighing house. See Weigh-house.

   Weighing machine, any large machine or apparatus for
      weighing; especially, platform scales arranged for
      weighing heavy bodies, as loaded wagons.
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WordNet (r) 3.0 (2006):

weighing
    n 1: careful consideration; "a little deliberation would have
         deterred them" [syn: deliberation, weighing,
         advisement]