चतुर्शी इसके अंग्रेजी अर्थ का उदाहरण

A quadrilaterally-based pyramid is a wedge in which one of the edges between two trapezoid faces has collapsed into a point.

The Penrose kite is the convex quadrilateral from the kites-and-darts Penrose tilings.

irrational kite is a quadrilateral with the following property:.

One of the diagonals of the quadrilateral divides the region into two triangles of equal area.

University of the Basque Country alumni In plane geometry, Van Aubel's theorem describes a relationship between squares constructed on the sides of a quadrilateral.

Starting with a given convex quadrilateral, construct a square, external to the quadrilateral, on each side.

Another way of saying the same thing is that the center points of the four squares form the vertices of an equidiagonal orthodiagonal quadrilateral.

The theorem holds true also for re-entrant quadrilaterals, and when the squares are constructed internally to the given quadrilateral.

For complex (self-intersecting) quadrilaterals, the external and internal constructions for the squares are not definable.

follow the quadrilateral vertexes in a sequential direction and construct each square on the right hand side of each side of the given quadrilateral.

Follow the quadrilateral vertexes in the same sequential direction and construct each square on the left hand side of each side of the given quadrilateral.

The segments joining the centers of the squares constructed externally (or internally) to the quadrilateral over two opposite sides have been referred to as Van Aubel segments.

A few extensions of the theorem, considering similar rectangles, similar rhombi and similar parallelograms constructed on the sides of the given quadrilateral, have been published on the The Mathematical Gazette.

Some generalizations of Van Aubel's theorem to similar quadrilaterals at Dynamic Geometry Sketches, interactive geometry sketches.