The Collaborative International Dictionary of English v.0.48:

Square \Square\, v. t. [imp. & p. p. Squared (skw[^a]rd); p.
   pr. & vb. n. Squaring.] [Cf. OF. escarrer, esquarrer. See
   Square, n.]
   1. To form with four equal sides and four right angles.
      --Spenser.
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   2. To form with right angles and straight lines, or flat
      surfaces; as, to square masons' work.
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   3. To compare with, or reduce to, any given measure or
      standard. --Shak.
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   4. To adjust; to regulate; to mold; to shape; to fit; as, to
      square our actions by the opinions of others.
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            Square my trial
            To my proportioned strength.          --Milton.
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   5. To make even, so as to leave no remainder or difference;
      to balance; as, to square accounts.
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   6. (Math.) To multiply by itself; as, to square a number or a
      quantity.
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   7. (Astrol.) To hold a quartile position respecting.
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            The icy Goat and Crab that square the Scales.
                                                  --Creech.
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   8. (Naut.) To place at right angles with the keel; as, to
      square the yards.
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   To square one's shoulders, to raise the shoulders so as to
      give them a square appearance, -- a movement expressing
      contempt or dislike. --Sir W. Scott.

   To square the circle (Math.), to determine the exact
      contents of a circle in square measure. The solution of
      this famous problem is now generally admitted to be
      impossible.
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Moby Thesaurus II by Grady Ward, 1.0:

74 Moby Thesaurus words for "squaring":
   Little Joe, accommodation, adaptation, adjustment, amends,
   assimilation, atonement, attunement, biquadrate, coaptation,
   compensation, composition, compromise, coordination, expiation,
   expiatory offering, four, four-part diaphony, foursome,
   harmonization, indemnification, indemnity, integration,
   making amends, making good, making right, making up, paying back,
   peace offering, piaculum, propitiation, quad, quadrangle,
   quadrature, quadrennium, quadrilateral, quadrille, quadrinomial,
   quadruplet, quartet, quatern, quaternary, quaternion, quaternity,
   quatrefoil, quittance, reclamation, recompense, reconcilement,
   reconciliation, rectangle, redemption, redress, refund, regulation,
   reimbursement, reparation, repayment, requital, restitution,
   retribution, satisfaction, square, square dance, synchronization,
   tetrad, tetragon, tetragram, tetragrammaton, tetrahedron,
   tetralogy, tetraphony, tetrapody, timing