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From: Webster's Revised Unabridged Dictionary (1913)

 Square, v. t. [imp. & p. p. Squared p. pr. & vb. n. Squaring.]
 1. To form with four equal sides and four right angles.
 2. To form with right angles and straight lines, or flat surfaces; as, to square masons' work.
 3. To compare with, or reduce to, any given measure or standard.
 4. To adjust; to regulate; to mold; to shape; to fit; as, to square our actions by the opinions of others.
 Square my trial
 To my proportioned strength.   --Milton.
 5. To make even, so as to leave no remainder or difference; to balance; as, to square accounts.
 6. Math. To multiply by itself; as, to square a number or a quantity.
 7. Astrol. To hold a quartile position respecting.
    The icy Goat and Crab that square the Scales.   --Creech.
 8. Naut. To place at right angles with the keel; as, to square the yards.
 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.