In a rectangle, having given the diagonal and perimeter, find the sides

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In a rectangle, having given the diagonal and perimeter, find the sides

There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?

A listing of the history sessions at the 2008 Joint Mathematics meetings in San Diego, January 4-9, 2008.

A certain man says that he can weigh any amount from 1 to 40 pounds using only 4 weights. What size must they be?

Boyer's classic text, as revised by Uta Merzbach, is still worth having.

One says that 10 is divided into three parts and if the small part is multiplied by itself and added to the middle one multiplied by itself the result is the large one multiplied by itself...

The movie Agora, about the mathematician Hypatia of Alexandria (c. 400 AD), is spectacular and intriguing but Hypatia should be portrayed as the hero she was.

A boy gives 11 coins of equal denomination to a man, and the man finds that their total value in yen is 4 less than his age.

If I were to give 7 pennies to each beggar at my door, I would have 24 pennies left in my purse. How many beggars are there and how much money do I have?

Three persons bought a sugar loaf in the form of a perfect cone 25"" high and agreed to divide it...what was the slant height of each one's share?