Suppose a line 'l' cuts an equilateral triangle of side in two points different from the vertices. Say it cuts and in points and respectively. We mark the orthocentre of the triangle and also the midpoint of side . We extend to a point so that . The point is the foot of perpendicular from on side .
Now, we draw outward equilateral triangles , , and . (The Napoleonic triangles of triangle ).
The task is to find: .
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( 4 / 6 ) Ψ = 0 2 / 3 . 3 / 2 = U n i t y 3 Υ = 3