Fredy  E. Hoyos, Rafael  A. Daz Ledesma, Dario  Vergara Perez, 
    Pythagorean Proposition and Geometric Demonstration: The Sum of Squares of
Catheti is Equal to the Square of the Hypotenuse,
    Journal of Engineering and Applied Sciences,
    Volume 14,Issue 23,
    2019,
    Pages 8851-8854,
    ISSN 1816-949x,
    jeasci.2019.8851.8854,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2019.8851.8854)
    Abstract: This study arose from the need to provide known elements that allow to more easily reason about
the importance and contribution of geometry in the solution of the Pythagorean proposal, assigned to squares
of catheti and the square of the hypotenuse in a triangle rectangle. For this, we take a circle inscribed in a
quadrilateral whose middle points form a square inscribed in the circle and diagonals of this second square form
four isosceles triangles, one of these is taken to demonstrate by construction a particular case (isosceles right
triangle) the Pythagorean proposition or theorem.
    Keywords: Pythagorean theorem;circumference;triangles;square;congruence;contribution of geometry