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Convergence articles

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Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.
In this article which won the 2005 prize of HOMSIGMAA, the author discusses Eratosthenes' argument to determine the size of the earth as well as possibilities for the size which Eratosthenes found (in modern measures).
Howard Eves' sixth edition is still worth considering for a textbook.
A discussion of the meaning of mathematical unsolvability in the context of the history of Abel's proof of the unsolvability of the quintic equation in terms of radicals.
A translation of and commentary on Frans van Schooten's work on constructions using only a straightedge. Van Schooten's postulates for use of the straightedge, however, allow the copying of one line segment onto another.

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

A man has four creditors. To the first he owes 624 ducats; to the second, 546; to the third, 492; and to the fourth 368.
Determine the dimensions of the least isosceles triangle ACD that can circumscribe a given circle.
A rifle ball is fired through a three-inch plank, the resistance of which causes an unknown constant retardation of its velocity.
A creative expression combining text, design and illustrations, originally designed for the International Congress of Mathematicians in Madrid.

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