NOUN (3)

1. a coat of arms that occupies one quarter of an escutcheon; combining four coats of arms on one shield usually represented intermarriages;

2. living accommodations (especially those assigned to military personnel);

3. dividing into four equal parts;

The Collaborative International Dictionary of English v.0.48:

Quarter \Quar"ter\ (kw[aum]r"t[~e]r), v. t. [imp. & p. p.
   Quartered; p. pr. & vb. n. Quartering.]
   1. To divide into four equal parts.
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   2. To divide; to separate into parts or regions.
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            Then sailors quartered heaven.        --Dryden.
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   3. To furnish with shelter or entertainment; to supply with
      the means of living for a time; especially, to furnish
      shelter to; as, to quarter soldiers.
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            They mean this night in Sardis to be quartered.
                                                  --Shak.
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   4. To furnish as a portion; to allot. [R.]
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            This isle . . .
            He quarters to his blue-haired deities. -- Milton.
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   5. (Her.) To arrange (different coats of arms) upon one
      escutcheon, as when a man inherits from both father and
      mother the right to bear arms.
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   Note: When only two coats of arms are so combined they are
         arranged in four compartments. See Quarter, n., 1
      (f) .
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The Collaborative International Dictionary of English v.0.48:

Quartering \Quar"ter*ing\, a.
   1. (Naut.) Coming from a point well abaft the beam, but not
      directly astern; -- said of waves or any moving object.
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   2. (Mach.) At right angles, as the cranks of a locomotive,
      which are in planes forming a right angle with each other.
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The Collaborative International Dictionary of English v.0.48:

Quartering \Quar"ter*ing\, n.
   1. A station. [Obs.] --Bp. Montagu.
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   2. Assignment of quarters for soldiers; quarters.
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   3. (Her.)
      (a) The division of a shield containing different coats of
          arms into four or more compartments.
      (b) One of the different coats of arms arranged upon an
          escutcheon, denoting the descent of the bearer.
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   4. (Arch.) A series of quarters, or small upright posts. See
      Quarter, n., 1
      (m) (Arch.) --Gwilt.
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   Quartering block, a block on which the body of a condemned
      criminal was quartered. --Macaulay.
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WordNet (r) 3.0 (2006):

quartering
    n 1: a coat of arms that occupies one quarter of an escutcheon;
         combining four coats of arms on one shield usually
         represented intermarriages
    2: living accommodations (especially those assigned to military
       personnel)
    3: dividing into four equal parts

Moby Thesaurus II by Grady Ward, 1.0:

122 Moby Thesaurus words for "quartering":
   achievement, alerion, animal charge, annulet, argent,
   armorial bearings, armory, arms, assembly-line housing, azure,
   bandeau, bar, bar sinister, baton, bearings, bend, bend sinister,
   billet, billeting, blazon, blazonry, bordure, broad arrow,
   cadency mark, canton, chaplet, charge, chevron, chief,
   coat of arms, cockatrice, coronet, crescent, crest, cross,
   cross moline, crown, device, difference, differencing,
   domiciliation, doss, eagle, ermine, ermines, erminites, erminois,
   escutcheon, falcon, fess, fess point, field, file, flanch,
   fleur-de-lis, fret, fur, fusil, garland, griffin, gules, gyron,
   hatchment, helmet, heraldic device, honor point, hospitality,
   housing, housing bill, housing development, housing problem,
   impalement, impaling, inescutcheon, label, lion, living quarters,
   lodging, lodgment, lower-income housing, lozenge, mantling,
   marshaling, martlet, mascle, metal, motto, mullet, nombril point,
   octofoil, or, ordinary, orle, pale, paly, pean, pheon, purpure,
   quadripartition, quadrisection, quarter, rose, sable, saltire,
   scutcheon, shield, slum clearance, spread eagle, subdivision,
   subordinary, tenne, tincture, torse, tract, transient lodging,
   tressure, unicorn, urban renewal, vair, vert, wreath, yale