Nouns

(n)square, foursquare(geometry) a plane rectangle with four equal sides and four right angles; a four-sided regular polygon“you can compute the area of a square if you know the length of its sides”
(n)square, second powerthe product of two equal terms“nine is the second power of three”, “gravity is inversely proportional to the square of the distance”
(n)public square, squarean open area at the meeting of two or more streets
(n)squaresomething approximating the shape of a square
(n)square, lamesomeone who doesn't understand what is going on
(n)square, square toesa formal and conservative person with old-fashioned views
(n)squareany artifact having a shape similar to a plane geometric figure with four equal sides and four right angles“a checkerboard has 64 squares”
(n)squarea hand tool consisting of two straight arms at right angles; used to construct or test right angles“the carpenter who built this room must have lost his square”

Verbs

(v)square, square upmake square“Square the circle”, “square the wood with a file”
(v)squareraise to the second power
(v)squarecause to match, as of ideas or acts
(v)squareposition so as to be square“He squared his shoulders”
(v)squarebe compatible with“one idea squares with another”
(v)squarepay someone and settle a debt“I squared with him”
(v)feather, squareturn the paddle; in canoeing
(v)feather, squareturn the oar, while rowing

Adjectives

(a)squarehaving four equal sides and four right angles or forming a right angle“a square peg in a round hole”, “a square corner”
(a)straight, squarecharacterized by honesty and fairness“straight dealing”, “a square deal”
(s)hearty, satisfying, solid, square, substantialproviding abundant nourishment“a hearty meal”, “good solid food”, “ate a substantial breakfast”, “four square meals a day”
(s)squareleaving no balance“my account with you is now all square”
(s)square, straightforward, straightwithout evasion or compromise“a square contradiction”, “he is not being as straightforward as it appears”
(s)square, straightrigidly conventional or old-fashioned

Adverbs

(r)squarely, squarein a straight direct way“looked him squarely in the eye”, “ran square into me”
(r)squarely, squarein a square shape“a squarely cut piece of paper”, “folded the sheet of paper square”
(r)squarely, squarefirmly and solidly“hit the ball squarely”, “the bat met the ball squarely”, “planted his great bulk square before his enemy”