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.
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