A complete quadrilateral is a figure of Géométrie plane consisted of four right including two unspecified is not parallel nor three unspecified convergent.
Another manner of defining a complete quadrilateral is to supplement a convex Quadrilatère ABCD by the point E intersection of the right-hand sides (AB) and (CD) and the point F intersection of the right-hand sides (AD) and (BC) .
This figure is very related to the projective Géométrie and was studied as of IIe century by Menelaüs then Pappus of Alexandria.
Theorem of Miquel : the circles circumscribed with the triangles (EAD) , (EBC) , (FAB) and (FDC) are convergent.
The Dual of the complete quadrilateral is the complete quadrangle
The complete quadrangle registered in conical is very useful to show certain properties of the tangents and the Polaire S in a Conique.
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