What is a Quadrilateral?
In EQF (Encyclopedia of Quadri-Figures) a Quadrilateral is defined as a system consisting of four lines occurring in a plane, no three of which are concurrent.
There are no points involved. There is no order in these lines. Just four random lines. Nothing more and nothing less.
Every line in a Quadrilateral is exchangeable with one of the other lines.
Whatever is valid for a subset of these four lines is also valid for another subset of equal amount of these lines.
A Quadrilateral is a flexible framework that can be used to construct many objects upon.
In EQF these objects often will be prefixed with “QL-”.
If the four lines making up a Quadrilateral are intersected pairwise in six distinct points, a figure known as a Complete Quadrilateral results.
A Complete Quadrilateral is therefore a set of four lines, no three of which are concurrent, and their six points of intersection.
Each point being the intersection of 2 lines has its opposite point by intersecting the other 2 lines.
Therefore there are 3 pairs of opposite intersection points in a Complete Quadrilateral.
The line connecting a pair of opposite intersection points is called a Diagonal.
A Complete Quadrilateral has three Diagonals forming the Diagonal Triangle of a Quadrilateral.
< ----- In the column at the left several items and objects can be chosen from Quadrilaterals.
By clicking at a button at the top of this colomn also objects can be chosen from:
- INDEX QA–1, QA–2 -> Quadrangle-objects-1 and -2
- INDEX QL–1, QL–2 -> Quadrilateral-objects-1 and -2
- INDEX QG–1, QG–2 -> Quadrigon-objects-1 and -2