Folding a Square to Identify Two Adjacent Sides
نویسندگان
چکیده
The purpose of this paper is to establish some properties that appear in a square cut by two rays at 45 degrees passing through a vertex of the square. Elementary proofs and other interesting comments are provided. 1. A simple problem and a reformulation The starting point of this work is the following problem from [3], partially discussed in [4]. 1 Proposition 1. Two points M and N on the hypotenuse BD of the isosceles, rightangled triangle ABD, with M between B and N , define an angle ∡MAN = 45 if and only if BM2 + ND2 = MN2 (see Figure 1).
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