The figure shows a complete quadrilateral
ABCDEF (AB and DC meet at E, AD and BC meet at F). Point H is on the
diagonal BD; and EG, AM, and FN are parallel to CH. If CH = c, AM =a, EG
= e, and FN = f, prove that
(c is one-third the harmonic mean of
a, e, and f.)
![Complete Quadrilateral, Diagonal, Parallel, Metric Relations, Similarity](p750-complete-quadrilateral-diagonal-parallel-metric-relations.gif)
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