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Convergence articles

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The Sum of Its Parts

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...

Loaf of Bread

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?

Discovering the Beauty of Science

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

Deer in the City

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.

Maxes and Mins

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

Be Careful Where You Step!

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?

Wooden Beam Against the Wall

A wooden beam is stood vertically against a wall. The length of the beam is 30 units.

Money Changers

Two men have a certain amount of money. The first says to the second, "If you give me 5 denari, I will have 7 times what you have left."

Sum of a Series

What is the sum of the following series, carried to infinity: 11, 11/7, 11/49, etc.?

Combining Strands of Many Colors: Episodes from Medieval Islam for the Mathematics Classroom
The author presents five modules based on mathematics from medieval Islamic cultures for use in a variety of high school and college mathematics courses.

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