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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":
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,