Consider a complete quadrilateral with four sides , , , intersecting in the six points , , , , , . Then the three circles that have the three diagonals , and as diagonals intersect in the same two points.
|[a1]||R. Fritsch, "Remarks on Bodenmiller's theorem" J. of Geometry , 47 (1993) pp. 23–31|
|[a2]||G. Weiss, "Eine räumliche Deutung der Vierseiteigenschaft von Bodenmiller" Elemente der Math. , 37 (1982) pp. 21–23|
Bodenmiller theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bodenmiller_theorem&oldid=13366