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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

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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.