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Topic: Dynamic Geometry Sketches and Homepage Updated, June 2014
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Michael de Villiers

Posts: 281
Registered: 12/3/04
Dynamic Geometry Sketches and Homepage Updated, June 2014
Posted: Jun 4, 2014 3:18 PM
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My 'Downloadable Articles' Homepage at has been updated with my June 2014 Math e-newsletter at:
as well as the following new items:
1) A Trapezium Theorem Generalized. Generalizes the so-called Midpoint Trapezium Theorem to a simple inequality for any quadrilateral. Grades 9-10 and up. In At Right Angles, 2013.
2) Generalizing a theorem of Arsalan Wares. Presents some generalizations of Wares' theorem - involves proof of similar triangles. Grade 10 and up. In The Scottish Mathematical Council Journal, 2012.
3) mathematics/science cartoon (at bottom of page)
4) mathematical/mathematics education quote (at bottom of page).

My 'Dynamic Geometry Sketches' site available at: has been updated with the following:
1) Generalizing a theorem of Arsalan Wares

and the 'Student Explorations' section at: with:
1) Cyclic Crossed Pentagon Problem
2) Interesting property of the number e
3) Midpoint Trapezium (Trapezoid) Theorem Generalized
4) Theorem of Arsalan Wares

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