Geometry Problem 319: Triangle, Altitudes,
Perpendiculars, Collinear points
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The figure shows a triangle ABC
and the altitudes AD, BH, and CE.
HF is perpendicular to AB, HG perpendicular to AD, HM
perpendicular to CE, and HN perpendicular to BC. Proved that F,
G, M, and N are collinear.
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