# Convergence articles

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One military horse cannot pull a load of 40 dan; neither can 2 ordinary horses, nor can three inferior horses...

There is a regular pentagon. The length of its side is a. Find the area of the pentagon. Generalize your result for a nonagon.

The movie Agora, about the mathematician Hypatia of Alexandria (c. 400 AD), is spectacular and intriguing but Hypatia should be portrayed as the hero she was.

How much does Landowner A give to each worker knowing Landowner B gives a certain amount more and has few workers.

In order to encourage his son in the study of arithmetic, a father agrees to pay him 8 pennies for every problem solved correctly and to charge him 5 pennies for each incorrect solution.

An oracle ordered a prince to build a sacred building, whose space would be 400 cubits, the length being 6 cubits more than the width, and the width 3 cubits more than the height. Find the dimensions of the building.

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.

The three sides of a triangular piece of land, taken in order, measure 15, 10, and 13 chains respectively.

A certain man had in his trade four weights with which he could weigh integral pounds from one up to 40. How many pounds was each weight?

Download the three winning essays to learn about Kepler's mathematical astronomy, the roots of modern algebra, and the Quadrivium of Isidore of Seville.