Theorem by Thébault-Yaglom
The set of Thébault-Yaglom (or even set of Thébault ) is a statement of elementary geometry and describes a property of parallelograms . It says that the centers of the squares built over the sides of a parallelogram themselves form a square. It is named after the mathematicians Victor Thébault and Isaak Moissejewitsch Jaglom .
The theorem can be generalized from parallelograms to any quadrilateral, but the center points of the squares then no longer form a square, but only an orthodiagonal quadrangle with diagonals of equal length . This generalized statement is also known as Van Aubel's Theorem .
literature
- Dietmar Herrmann: Ancient Mathematics: A History of Greek Mathematics, its Problems and Solutions . Springer, 2013, p. 420
- IM Yaglom: Geometric Transformations , Volume 1, Mathematical Association of America, 1962, pp. 96f