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Convergence articles

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Given the dimensions of an isosceles trapezoid, find the length of the transversal drawn parallel to the bases that divides the trapezoid into 2 equal areas.

Three men have a pile of money, their shares being 1/2, 1/3 and 1/6. Each man takes some money from the pile until nothing is left.

A lively history of number systems and number theory from earliest times up to the notion of "infinity".

There is a number which when divided by 2, or 3, or 4, or 5, or 6, always has a remainder of 1, and is truly divisible by 7. It is sought what is the number.

A translation of part of a thirteenth century work by the Byzantine monk Maximus Planudes on the Hindu-Arabic numerals and the algorithms for calculation.

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 lengths of those sides.

A study and English translation of Servois' attempt to place calculus on a foundation of algebraic analysis without recourse to infinitesimals, continuing the work of Lagrange.
Explain the geometric basis of "completing the square," the original method of solving quadratic equations, to your students.

A collection of original texts to help students learn some important areas of mathematics.

A collection of 24 mini-posters, each containing a quotation about mathematics.

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