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Illustration of a counting board in Strasbourg
The history of apportionment of representatives in the U.S. Congress, from the 1790s until today, along with a discussion of the mathematics involved in the various methods.

Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the lengths of those sides.

I am a brazen lion; my spouts are my 2 eyes, my mouth, and the flat of my foot. My right eye fills a jar in 2 days, my left eye in 3, and my foot in 4.
Explain the geometric basis of "completing the square," the original method of solving quadratic equations, to your students.
Three circles of varying radius are mutually tangent. The area of the triangle connecting their centers is given. Find the radius of the third circle.
There is a round town 8000 feet in circumference.
Page 6: Images from the Paul Halmos Photo Collection of Abram Besicovitch, R. H. Bing, Burton W. Jones, Garrett Birkhoff, Abolghassem Ghaffari, Errett Bishop, and Max Black
The king of France entered into a battle and was defeated. How many soldiers did he have before he was defeated?
This is the title page of the Margarita philosophica (Pearl of Wisdom) of Gregor Reisch (1467 - 1525). The first edition was published in 1503. This work was used as a university textbook in the early sixteenth century.