Mathematics is distinguished from the sciences by the freedom it enjoys in choosing basic assumptions from which consequences can be deduced by applying the laws of logic. We call the basic ...

The Pythagorean theorem stands as one of mathematics' most enduring and practical principles. Named after the ancient Greek mathematician Pythagoras, this fundamental concept has guided engineers, ...

Construct a convex octagon with four right angles. It probably says a lot about me as a teacher that I assign problems like this. I watch as students try to arrange the right angles consecutively.

Pythagoras’ theorem is a statement that is true for all right-angled triangles.It states that the area of the square on the hypotenuse close hypotenuseThe longest side of a right-angled triangle, ...