What is a Quadrangle?

In EQF (Encyclopedia of Quadri-Figures) a Quadrangle is defined as a system consisting of four points occurring in a plane, no three of which are collinear.
There are no lines involved. There is no order in these points. Just four random points. Nothing more and nothing less.
Every point in a Quadrangle is exchangeable with one of the other points.
Whatever is valid for a subset of these four points is also valid for another subset of equal amount of these points. 
A Quadrangle is a flexible framework that can be used to construct many objects upon.
In EQF these objects often will be prefixed with “QA-”. 

If the four points making up a Quadrangle are joined pairwise by six distinct lines, a figure known as a Complete Quadrangle results. 
A Complete Quadrangle is therefore a set of four points, no three of which are collinear, and the six lines which join them.
These six lines often are called the sides  of a quadrangle.

Each line being the connection of 2 points has its opposite line by connecting the other 2 points. Therefore there are 3 pairs of opposite lines (sides) in a complete quadrangle. The 3 points of intersection per pair of opposite lines form the so called Diagonal Triangle of a Quadrangle.   

Related to a Quadrangle several point, lines, circles, conics, cubics, transformations and triangles do exist, which can be obtained from the pulldown menu at the left of this page.
<--------
An overview menu can be obtained by clicking at a corresponding link above or below this page.