To draw to a head

from The Collaborative International Dictionary of English v.0.48
Draw \Draw\, v. i.
   1. To pull; to exert strength in drawing anything; to have
      force to move anything by pulling; as, a horse draws well;
      the sails of a ship draw well.
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   Note: A sail is said to draw when it is filled with wind.
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   2. To draw a liquid from some receptacle, as water from a
      well.
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            The woman saith unto him, Sir, thou hast nothing to
            draw with, and the well is deep.      --John iv. 11.
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   3. To exert an attractive force; to act as an inducement or
      enticement.
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            Keep a watch upon the particular bias of their
            minds, that it may not draw too much. --Addison.
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   4. (Med.) To have efficiency as an epispastic; to act as a
      sinapism; -- said of a blister, poultice, etc.
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   5. To have draught, as a chimney, flue, or the like; to
      furnish transmission to smoke, gases, etc.
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   6. To unsheathe a weapon, especially a sword.
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            So soon as ever thou seest him, draw; and as thou
            drawest, swear horrible.              --Shak.
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   7. To perform the act, or practice the art, of delineation;
      to sketch; to form figures or pictures. "Skill in
      drawing." --Locke.
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   8. To become contracted; to shrink. "To draw into less room."
      --Bacon.
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   9. To move; to come or go; literally, to draw one's self; --
      with prepositions and adverbs; as, to draw away, to move
      off, esp. in racing, to get in front; to obtain the lead
      or increase it; to draw back, to retreat; to draw level,
      to move up even (with another); to come up to or overtake
      another; to draw off, to retire or retreat; to draw on, to
      advance; to draw up, to form in array; to draw near, draw
      nigh, or draw towards, to approach; to draw together, to
      come together, to collect.
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   10. To make a draft or written demand for payment of money
       deposited or due; -- usually with on or upon.
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             You may draw on me for the expenses of your
             journey.                             --Jay.
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   11. To admit the action of pulling or dragging; to undergo
       draught; as, a carriage draws easily.
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   12. To sink in water; to require a depth for floating.
       "Greater hulks draw deep." --Shak.
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   {To draw to a head}.
       (a) (Med.) To begin to suppurate; to ripen, as a boil.
       (b) Fig.: To ripen, to approach the time for action; as,
           the plot draws to a head.
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