We investigate here the representability of integers as sums of triangular numbers, where the n-th triangular number is given by Tn = n(n+1)/2. In particular, we show ...

The most important theorem we learnt in childhood carries the name of a Greek philosopher, but not necessarily the legacy.

Pythagoras Theorem: The Pythagoras Theorem is a fundamental principle in geometry, attributed to the ancient Greek mathematician Pythagoras. This theorem establishes a relationship between the sides ...

Do you remember the Pythagoras Theorem, which you once studied in Mathematics, was a discovery of Pythagoras? In today’s time, people often wonder when Pythagoras was born, his full name, and his ...

Do you think there’s a triangle whose angles measure 41, 76 and 63 degrees? At first, answering this may seem easy. From geometry class we know that the sum of the measures of the interior angles of a ...

An understanding of how to use Pythagoras’ theorem to find missing sides in a right-angled triangle is essential for applying the theorem in different contexts. (3,1) is the coordinate that is 3 along ...

STEP 1 - RIGHT TRIANGLE x 4: Take one piece of card and fold it in half, then fold it in half again... Image caption, ... use the ruler and pencil to draw a straight line across the bottom corner of ...

There’s a delightful mathematical moment in the movie Merry Andrew, when Danny Kaye, playing schoolmaster Andrew Larabee, breaks into song to teach the Pythagorean theorem. I was reminded of this ...

Let (H, R) be a triangular Hopf algebra and let V be a finite-dimensional representation of H. Following Manin we imitate the standard algebraic constructions in order to define the relativized ...

Two years ago, a couple of high school classmates each composed a mathematical marvel, a trigonometric proof of the Pythagorean theorem. Now, they’re unveiling 10 more. For over 2,000 years, such ...