by
Markus Heisss
Würzburg, Bavaria
04/2022 (Last update: April 20, 2022)
The copying of the following graphics is allowed, but without changes.
[To get a bigger picture, please click it with the cursor.]
Only a few relationships are shown here which you won't find at the important websites,
like Wikipedia or Wolfram MathWorld.
Fig. 1: Cyclic quadrilateral and its tangential quadrilateral
And now a new relationship, but first only with the cyclic quadrilateral:
Fig. 2: Relationships only at the cyclic quadrilateral
... and with the tangential quadrilateral:
Fig. 3: Relationships at the cyclic quadrilateral and its tangential quadrilateral
Illustration to the relationship of orthogonal circles and the circle of Apollonius? [here]
Final Remark:
On the one side you could think that a cyclic quadrilateral and its tangential quadrilateral is a very special case. But on the other side it is nothing more than the contruction of the tangents from two points to a circle, and then the lines through the points of tangency.
Cite this as:
Heisss, Markus: From: https://triangle-geometry.jimdofree.com/cyclic-and-tangential-quadrilateral/
Contact
... to the author is maybe possible via e-mail under: §@gmx.de where § = heisss
Subject: "Quadrilaterals"