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Convergence articles

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Convergence Advisory Board 2004-2009

A barrel has various holes in it. The fist hole empties the barrel in three days...
A man agreed to pay for 13 valuable houses worth $5000 each, what the last would amount to, reckoning 7 cents for the first, 4 times 7 cents for the second, and so on, increasing the price 4 times on each to the last.
Prove geometrically that the hypocycloid is a straight line when the radius of the rolling circle is one-half the radius of the fixed circle.
Given the frustum of a circular cone with height h.
An argument that the teaching of elementary integration should better reflect its historical development
Title page of Jacob Bernoulli's Ars Conjectandi (The Art of Conjecturing), published posthumously in 1713 by his nephew Nicolaus I Bernoulli. The Ars Conjectandi is famous for Bernoulli's statement of a general rule for summing integral powers as well as for the first statement and proof of the Law of Large Numbers.
Collection of historical articles that appeared in Consortium, the newsletter of COMAP.
A square walled city measures 10 li on each side. At the center of each side is a gate. Two persons start walking from the center of the city.
If two Post-boys, A and B at 59 miles distance from one another, set out in the morning in order to meet...

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