Geometrical Discoveries

  of

Markus Heisss

Würzburg, Bavaria

2020/2022  (Last update:  Dec. 17, 2022)

 

   List of Hyperlinks:
  1. Lunes of Hippocrates;
  2. Lunes of Hippocrates--Part 2;
  3. Arbelos;
  4. Theorem of Three Shapes;
  5. Arithmetic, Geometric and Harmonic Mean;
  6. Steiner Circumellipse;
  7. Circle of Apollonius;
  8. Napoleon Triangles;
  9. McCay Circles;
  10. Excircles and Incircle;
  11. Medial Triangle;
  12. Common Tangents of Two Circles;
  13. Frégier's Theorem;
  14. Cyclic and Tangential Quadrilateral;
  15. Neuberg Circles;
  16. Varignon's Theorem;
  17. Relationship at the Rectangular Triangle;
  18. Fermat Points;
  19. Circle through O, N and K;

 

Hippocrates of Chios, quadrature, lune, segment, curved triangle

 

Further Fascinating Relationships

to the

Lune of Hippocrates

 

 

 

... to the Website?

 

[here]

 

Frégier, Fregier, theorem, point, ellipse

 

 

 

Frégier's Theorem

 

 

 

... to the Website?

 

[here]

 

Arbelos

 

... to the Website?

 

[here]

 

 

 

Fermat Points

 

... to the Website?

 

[here]

 

 

Markus Heisss, Geometry, Art, Germany, Würzburg

 

 

Circle through O, N and K

 

... to the Website?

 

[here]

 

 

cyclic, tangential, quadrangle

 

 

Cyclic Quadrilateral

and its Tangential Quadrilateral

 

 

 

... to the Website?

 

[here]

 

medial triangle, anticomplementary triangle,

 

 

 

Medial Triangle

 

... to the Website?

 

[here]

excircles, incircle, triangle

 

 

Excircles and Incircle

 

 

 

... to the Website?

 

[here]

rectangluar triangle, angle bisector, geometry, Heisss

 

 

 

A Relationship at the

Rectangular Triangle

 

 

 

... to the Website?

 

[here]