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Convergence articles

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A circle, a square and an equilateral triangle all have the same perimeter equal to 1 meter. Compare their areas.

A castle has n rooms each of which has 7 samurai in it.

You have two sums of money, the difference of which is 2 dirhems; you divide the smaller sum by the larger and the quotient is equal to 1/2. What are the two sums of money?

A biography of Arthur Cayley, the outstanding mathematician of Victorian Britain.

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...

In baking a hemispherical loaf of bread of 10" radius, the crust was everywhere of an equal thickness, and the solidity of the crust was equal to half the solid content of the whole loaf. What were the dimensions of the interior soft part?

A math history class visits the 'Beautiful Science' exhibit at the Huntington Library in Southern California.

Now there are 100 deer [being distributed] in a city. If one household has one deer there is a remainder...Find the number of households in the city.

Determine the different values of x, when a certain function hits a minimum.

A ladder has 100 steps. On the first step sits 1 pigeon; on the second, 2; on the third, 3; and so on up to the hundredth. How many pigeons in all?