1. Introduction Various generalizations of the Pythagoras Theorem have been known for centuries. Among these, the construction most relevant to this article investigates a trirectangular tetrahedron ...

Tentative topics: theorems on angles, transversal & parallel lines, angle sum property of triangles, congruence of triangles. Shift: We shifted to trying to prove Desargues' theorem. For that, we ...

The Pythagorean theorem gives a fundamental relationship between the lengths of the three sides of a right-angled triangle. We make the case for which theorems of elementary Euclidean geometry should ...

Each square area that rests on the sides of the triangle is painted with a combination of one primary color and black. This draws the viewer’s attention to the areas that complete Euclid’s proof of ...

Starting from any given rational-sided, right triangle, for example, the (3, 4, 5)-triangle with area 6, we use Euclidean geometry to show that there are infinitely many other rational-sided, right ...