# Let segment gh be a chord of a circle ω which is not a diameter, and let n be a fixed point on gh. For which point b on arc gh is the length n minimized?

Let segment gh be a chord of a circle $\omega$ which is not a diameter, and let n be a fixed point on gh. For which point b on arc gh is the length n minimized?
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sweetwisdomgw
HINT.
Chord and arc are there only to distract you. Given a point A inside a circle, which point of the circle is the nearest to A?