Jerry Becker who runs a very useful list server occasionally broadcasts collections of sayings to read, enjoy and benefit from. In the latest (SAYINGS XXVIII) the first piece of wisdom was credited to G. K. Chesterton, an English writer of more than...

Here is an engaging problem for all ages: Six points are given in the space such that the pairwise distances between them are all distinct. Consider the triangles with vertices at these points. Prove that the longest side of one of these triangles is...

Two material points are in equilibrium if their distances from the fulcrum are inversely proportional to their weights. This is known as the Law of the Lever. The law serves as an engaging exercise for finding the greatest common divisor of two...

This is a caption of a quiz my 6 grader son has recently taken. What can I say? Seeing this quiz I feel cheated. Do we really pay the taxes so that the kids in grade 6 learn the difference between inhalants and stimulants? Quite candidly, by sound of...

How can be one so wrong? The common objection to the existence of trigonometric proofs of the Pythagorean theorem stems from the assertion that the most important trigonometric identity sin²α + cos²α = 1, being equivalent to the Pythagorean theorem,...