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The ICM meets every four years. This year, the meeting takes place August 22-30 and is being held in Madrid. Section 20 of the Congress deals with the history of mathematics.
A number of 3 digits in base 7 has the same three digits...
On a certain ground stands two poles 12 feet apart, the lesser pole is 35 ft. in height and the greater 40 ft. It is sought, if the greater pole will lean on the lesser, then in what part will it touch?

The authors provide an analysis and English translation of the argument by a little known French mathematician that calculus should be based on series rather than on infinitesimals.

Given: a circle with an inscribed equilateral triangle. The triangle has an area of 12 square units. What is the area of the circle?
Two wine merchants enter Paris, one of them with 64 casks of wine, the other with 20.
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 discussion of aspects of Leonardo of Pisa's Book of Squares.
A lady has two silver cups, and only one cover for both. The first cup weighs 16 oz, and when it is covered it weighs 3 times as much as the second cup; but when the second cup is covered, it weighs 4 times as much as the first.
An English translation of Eratosthenes' Geography, which includes "On the Measurement of the Earth."