To bend something (by applying force), to make it curve or take on an angle; to crook.
針金を曲げて小さなフックを作った。
I bent the wire to make a small hook.
膝を曲げてしゃがんでください。
Please bend your knees and squat.
ページが折れないように本の角を軽く曲げた。
I slightly bent the corner of the book so the page wouldn't tear.
To tilt or incline something (to slant); to lean something in a direction.
彼は話を聞くときにいつも少し頭を曲げる。
He always tilts his head slightly when he listens.
額縁を外して、写真を少し曲げて掛け直した。
I took the frame down and rehung the picture, tilting it a little.
風で看板が曲がってしまったので、直してもらった。
The sign got bent/tilted by the wind, so I had it fixed.
To twist or distort (the truth); to pervert facts or meaning.
彼は都合の悪い部分を曲げて話した。
He twisted the parts that were inconvenient to him when he spoke.
歴史の事実を曲げることは許されない。
It is unacceptable to distort historical facts.
発言の一部を抜き出して曲げられると困る。
It causes problems if parts of my remarks are excerpted and twisted.
To yield on a point or depart from one's principle; to bend/compromise one's stance.
彼は重要な点では決して意見を曲げない人だ。
He never compromises on important points.
交渉で条件を少し曲げることで合意に達した。
By bending the terms a little in negotiations, we reached an agreement.
彼女は信念を曲げて転職するつもりはないと言った。
She said she had no intention of changing her principles to change jobs.
To pawn something (archaic or dialectal usage equivalent to putting an item in pawn).
お金に困り、古い時計を質屋に曲げた。
Short of money, he pawned an old watch at the pawnshop.