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Convergence articles

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There are two numbers which are to each other as 5 and 6 and the sum of their squares is 2196. What are the numbers?
Short sketches on how mathematicians work and think.
Given four integers where if added together three at a time their sums are: 20, 22, 24, and 27. What are the integers?
A dramatization, in two Acts, of the struggles of European mathematicians of the seventeenth and eighteenth centuries to come to terms with the newly admitted negative numbers.
A square circumscribed about a given circle is double in area to a square inscribed in the same circle. True of false? Prove your answer.
Of the two water reeds, the one grows 3 feet and the other 1 foot on the first day. The growth of the first becomes every day half of that of the preceding day, while the other grows twice as much as on the day before.

Three images from Kepler's 1609 Astronomia Nova, the text in which he introduced his first two laws of planetary motion

Determine the greatest cylinder that can be inscribed in a given cone.
There are many historical sessions during the 2007 summer meeting of the Mathematical Association of America.
Three men wish to buy a horse but none have a sufficient amount of money for the purchase; to do so they must borrow from each other. How much money does each man have and what is the price of the horse?