View source for Bodenmiller theorem

{{TEX|done}}
Consider a complete [[Quadrilateral|quadrilateral]] with four sides $a$, $b$, $c$, $d$ intersecting in the six points $P$, $Q$, $R$, $S$, $T$, $U$. Then the three circles that have the three diagonals $PS$, $QT$ and $RU$ as diagonals intersect in the same two points.

<img style="border:1px solid;" src="https://www.encyclopediaofmath.org/legacyimages/common_img/b110680a.gif" />

Figure: b110680a

====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  R. Fritsch,   "Remarks on Bodenmiller's theorem"  ''J. of Geometry'' , '''47'''  (1993)  pp. 23–31</TD></TR><TR><TD valign="top">[a2]</TD> <TD valign="top">  G. Weiss,   "Eine räumliche Deutung der Vierseiteigenschaft von Bodenmiller"  ''Elemente der Math.'' , '''37'''  (1982)  pp. 21–23</TD></TR></table>