Definition:Complete Quadrilateral
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Definition
A complete quadrilateral is a quadrilateral whose $4$ lines are extended so as to form $6$ points of intersection.
These $6$ points are joined by a further $3$ diagonals.
In the above diagram, $AB$, $BC$, $CD$ and $DA$ are the initial $4$ straight lines forming the quadrilateral, whose further intersections are $S$ and $T$.
The point $R$ is the intersection of the two diagonals $AC$ and $BD$.
The third diagonal is $ST$.
Also see
- Results about complete quadrilaterals can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): complete quadrilateral
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): complete quadrilateral