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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. [1913 Webster] 2. To form with right angles and straight lines, or flat surfaces; as, to square masons' work. [1913 Webster] 3. To compare with, or reduce to, any given measure or standard. --Shak. [1913 Webster] 4. To adjust; to regulate; to mold; to shape; to fit; as, to square our actions by the opinions of others. [1913 Webster] Square my trial To my proportioned strength. --Milton. [1913 Webster] 5. To make even, so as to leave no remainder or difference; to balance; as, to square accounts. [1913 Webster] 6. (Math.) To multiply by itself; as, to square a number or a quantity. [1913 Webster] 7. (Astrol.) To hold a quartile position respecting. [1913 Webster] The icy Goat and Crab that square the Scales. --Creech. [1913 Webster] 8. (Naut.) To place at right angles with the keel; as, to square the yards. [1913 Webster] 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. [1913 Webster]
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