Excircles and Incircle
... a Few Relationships

by

 Markus Heisss

 Würzburg, Bavaria

  10/2020 (Last update: October 21, 2020)

    The copying of the following graphics is allowed, but without changes.

[To get a bigger picture, please click it with the cursor.]

 

The important information you'll find in the graphics.

 

Only a few relationships are shown here,

which you won't find at the important websites,

  like Wikipedia or Wolfram MathWorld.

 

excircle, incircle, triangle, midpoint, Heisss,
Fig. 01: Excircles and Incircle

 

 

The formula for the distances you'll find in the following figure:

 

excircle, incircle, midpoint formula
Fig. 02: Incenter-Excenter Circle

 

The circle with the four points

is called "Incenter-Excenter Circle".

 

More infomation you'll find here:

https://mathworld.wolfram.com/Incenter-ExcenterCircle.html

 

Cite this as: 

Heisss, Markus:  From: https://triangle-geometry.jimdofree.com/excircles-and-incircle/


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Are you interested in my other geometrical discoveries?

[here]

Contact

... to the author is maybe possible via e-mail under:   §@gmx.de   where   § = heisss

Subject: "Excircles"