Add to ORKGT in any case forming a cyclic quadrilateral. The situation of he bisectors of the interior angles of a quadrilateral are either all concurrent or meet pairwise at 4, 5 or 6 points, exactly three bisectors being concurrent is not possible. See Figure 1 for a possible situation. The reader is invited to prove these as well as observations regarding some of the special cases mentioned below
In this article we will give a negative answer to a question referred to a congruence theorem for qu...
In this article we will give a negative answer to a question referred to a congruence theorem for qu...
High School Students explore three interesting results about cyclical quadrilaterals that have perpe...
Abstract. Given a noncyclic quadrilateral, we consider an iterative procedure producing a new quadri...
A quadrilateral that can be inscribed in a circle is a cyclic quadrilateral. While all triangles are...
Extend the angle bisectors of the triangle ABC to meet its circumcircle at A', B' and C'. Let A'', B...
The various types of plane quadrilaterals are characterized by their side and diagonal lengths. Pant...
Abstract: A convex quadrilateral with sides a, b, c, d and diagonals p, q is cyclic iff ab...
Proceeding to construct such a ‘Kepler quadrilateral’ ABCD with sides in geometric progression as i...
CITATION: De Villiers, M. 2021. Some more properties of the bisect-diagonal quadrilateral. The Mathe...
International audienceWe continue a recent analysis of Propositions XII.21-28 of Brahmagupta's Brāhm...
Abstract. We give a short proof of a characterization, given by M. Radic ́ et al, of convex quadrila...
In this article we will give a negative answer to a question referred to a congruence theorem for qu...
Abstract. We prove that the vertices of a given parallelogram P are the mid-points of the sides of i...
In this article we will give a negative answer to a question referred to a congruence theorem for qu...
In this article we will give a negative answer to a question referred to a congruence theorem for qu...
In this article we will give a negative answer to a question referred to a congruence theorem for qu...
High School Students explore three interesting results about cyclical quadrilaterals that have perpe...
Abstract. Given a noncyclic quadrilateral, we consider an iterative procedure producing a new quadri...
A quadrilateral that can be inscribed in a circle is a cyclic quadrilateral. While all triangles are...
Extend the angle bisectors of the triangle ABC to meet its circumcircle at A', B' and C'. Let A'', B...
The various types of plane quadrilaterals are characterized by their side and diagonal lengths. Pant...
Abstract: A convex quadrilateral with sides a, b, c, d and diagonals p, q is cyclic iff ab...
Proceeding to construct such a ‘Kepler quadrilateral’ ABCD with sides in geometric progression as i...
CITATION: De Villiers, M. 2021. Some more properties of the bisect-diagonal quadrilateral. The Mathe...
International audienceWe continue a recent analysis of Propositions XII.21-28 of Brahmagupta's Brāhm...
Abstract. We give a short proof of a characterization, given by M. Radic ́ et al, of convex quadrila...
In this article we will give a negative answer to a question referred to a congruence theorem for qu...
Abstract. We prove that the vertices of a given parallelogram P are the mid-points of the sides of i...
In this article we will give a negative answer to a question referred to a congruence theorem for qu...
In this article we will give a negative answer to a question referred to a congruence theorem for qu...
In this article we will give a negative answer to a question referred to a congruence theorem for qu...
High School Students explore three interesting results about cyclical quadrilaterals that have perpe...