Bodenmiller theorem
From Encyclopedia of Mathematics
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.
Figure: b110680a
References
| [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 |
How to Cite This Entry:
Bodenmiller theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bodenmiller_theorem&oldid=31611
Bodenmiller theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bodenmiller_theorem&oldid=31611
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article