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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.
An interesting problem from Banneker's notebook as well as other problems to use with students.
Howard Eves' sixth edition is still worth considering for a textbook.

A math history class visits the 'Beautiful Science' exhibit at the Huntington Library in Southern California.

The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
This website devoted to miscellanea about Archimedes contains much interesting material about his life and times.
Find the greatest value of y in the equation a4 x2= (x2 + y2)3.
A tree is 20 feet tall and has a circumference of 3 feet. There is a vine that winds seven equally spaced times around the tree and reaches the top. What is the length of the vine?
A survey of the attempts to prove Kepler's conjecture over the past 400 years.
The beginnings of land measurement in the early United States and how this affected American democracy.

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