'Under the Law' in the Bible

For as many as have sinned without law shall also perish without the law: and as many as have sinned under the law shall be judged by the law;

Now we know that what things soever the law saith, it speaketh to them that are under the law; that every mouth may be stopped, and all the world may be brought under the judgment of God:

but I see a different law in my members, warring against the law of my mind, and bringing me into captivity under the law of sin which is in my members.