A generalization of Neuberg's Theorem

Explore the further or related generalizations below and also try to explain why (prove) why they are true.

A generalization of Neuberg's Theorem to polygons

Related Generalizations of Viviani'sTheorem

A generalization of the Simson-Wallace line

Explore the further or related generalizations below and also try to explain why (prove) why they are true.

More properties of the Simson-Wallace line

Miquel Deltoid (or Hypocycloid)

Ellipse by Reference Triangle (Kindly sent to me in January 2010 by Hungarian geophysicist Sandor Szanto, e-mail: szanto.danielne@upcmail.hu)

Download an article of mine from the *Mathematical Gazette* (2002) giving proofs of all the results above from *From nested Miquel triangles to Miquel distances*

Michael de Villiers, 21 January 2010.