Hidden Order

Erect squares on the sides of any parallelogram and their centers will always form a square.
In any triangle, the midpoints of the sides and the feet of the altitudes always fall on a circle.
An idler's miscellany of compendious amusements

Erect squares on the sides of any parallelogram and their centers will always form a square.
In any triangle, the midpoints of the sides and the feet of the altitudes always fall on a circle.