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\(l, m\) and \(n\) are three parallel lines intersected by transversals \(p\) and \(q\) such that \(l, m\) and \(n\) cut off equal intercepts \(AB\) and \(BC\) on \(p\) (see Fig.). Show that \(l, m\) and \(n\) cut off equal intercepts \(DE\) and \(EF\) on \(q\) also.
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