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Knowing the base, b, and the altitude, a, of a triangle. Find the expression for a side of the inscribed square.
A sketch of the history of topology, beginning with the polyhedron formula, but continuing up to the present.
A man bought a number of sheep for $225; 10 of them having died, he sold 4/5 of the remainder for the same cost and received $150 for them. How many did he buy?
Explain the geometric basis of "completing the square," the original method of solving quadratic equations, to your students.
An oblong garden is a half yard longer than it is wide and consists entirely of a gravel walk...
X, Y and Z hired a pasture for the season for $90.00. Each has a different number of mules and are on the pasture for a different number of days. How much is each to pay?

Convergence Advisory Board 2004-2009

A wonderful book about the square root of 2, beginning with the search for the side of a square double a given square.
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.
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.

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