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centers of squares erected onsides (outside) of rhombus form a square

Source: Eotvos 1906 p2

September 6, 2024
geometryrhombussquare

Problem Statement

Let K,L,M,NK, L,M,N designate the centers of the squares erected on the four sides (outside) of a rhombus. Prove that the polygon KLMNKLMN is a square.
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