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Convergence articles

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An introduction to the priority dispute between Euler and D'Alembert relating to several mathematical ideas that both worked on in the 1740s and 1750s.

Here are some things I don't want to forget to ask.

Given a semicircle, prove that if O is the circle's center, DO=OE.

A water tub holds 73 gallons; the pipe which fills it usually admits 7 gallons in 5 minutes; and the tap discharges 20 gallons in 17 minutes.

A history of the various algebraic structures that came together to give us "abstract algebra" by early in the twentieth century.

The radius of a circle is 3.20 meters. Compute to within .001 square meters the areas of the inscribed and circumscribed equilateral triangles.

Short sketches on how mathematicians work and think.

A certain merchant increases the value of his estate by 1/3...

A set of four congruent circles whose centers form a square is inscribed in a right triangle ABC where C is the right angle and serves as one corner of the square. Find their radius in terms of the sides; a,b,c, of the triangle.

A method for extracting square roots used in Italy through the 18th century was introduced in a manuscript by the 12th century mathematician al-Hassar.

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