The term 'fine point' is used to refer to a subtle distinction or DETAIL. It can be broken down into four related words: NICETY (6 letters), DETAIL (6 letters), NUANCE (6 letters), and Nity (4 letters). NICETY refers to a small, pleasant feature or quality, while DETAIL is a small part of something larger. NUANCE is a subtle difference in meaning, feeling, or tone, and Nity is a delicate or precise quality. Together, these words help to convey the idea of a fine point.