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Convergence articles

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Apollonius found how to draw normals to an ellipse from points in the ellipse by using hyperbolas. A modern version is presented here.
A California miner has a spherical ball of gold, 2 inches in diamter, which he wants to exchange for spherical balls 1 inch in diameter. How many of the smaller spheres should he receive?
A fox, a raccoon, and a hound pass through customs and together pay 111 coins.
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.
Two persons sat down to play for a certain sum of money; and agree that the first who gets three games shall be the winner. After a few games they resolve to divide the stakes. How much should each person receive?
Determine the different values of x, when a certain function hits a minimum.
Given two circles tangent to each other and to a common line, determine a relationship between the radii and the distance between the tangent points.
A summary of the history of the problem of finding the region of greatest area bounded by a given perimeter. This essay was a winner of the HOM SIGMAA student essay contest in 2006.
A water tub holds 73 gallons; the pipe which fills it usually admits 7 gallons in 5 minutes; and the tap discharges 20 gallons in 17 minutes.
A sourcebook of original materials in the history of mathematics from ancient times to the early twentieth century.

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