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Convergence articles

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Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the length of those sides.
This is an invited working conference as part of the ICMI Study Series.
This article contains examples of the use of the rule of false position in the solution of geometric problems as found in the work of Simon Stevin. We discuss the benefits for future teachers and their students.
An extension of Al-Karaji's formula for the sum of the cubes by a 19th century Turkish author and journal editor
The Fibonacci numbers and applications to areas such as plant growth and stock market predictions.
Mathematics is often referred to today as the "science of patterns." But has this always been true historically, or is this something that happened in recent times? The question is discussed here with reference to the work of Euclid and Jacob Steiner.
On Triangles, by Regiomontanus (Johannes M�ller) (1436-1476), written in 1464 but not published until 1533.
A horse, halving its speed each day, travels 700 miles in 7 days. How far does it travel each day?
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An elementary introduction to Euler squares and how they can be used in teacher training