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Convergence articles

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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.
A powerful, unvanquished, excellent black snake, 80 angulas in length, enters into a hole at the rate of 7 1/2 angulas in 5/14 of a day, and in the course of a day its tail grows 11/4 of an angula.
Subtitled How an Ancient Brotherhood Cracked the Code of the Universe and Lit the Path from Antiquity to Outer Space, this is a book of entertaining stories more so than scholarly research.
Given the fraction ax/ (a-x ), convert it into an infinite series.
A creative expression combining text, design and illustrations, originally designed for the International Congress of Mathematicians in Madrid.
Find a number having remainder 29 when divided by 30 and remainder 3 when divided by 4.
In a forest, a number of apes equal in number to the square of 1/8 of the total number of apes are noisy. The remaining 12 apes are on a nearby hill irritated. What is the total number of apes in the pack?
A bridge is built across a river in 6 months by 45 men. It is washed away by the current. Required the number of workmen sufficient to build another of twice as much worth in 4 months.
Given a wooden log of diameter 2 feet 5 inches from which a 7 inch thick board is to be cut, what is the maximum possible width of the board?
A description of a long-running conference in which undergraduate mathematics students gather to share their research on the history of mathematics.

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