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Convergence articles

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A general formed his men into a square, that is, an equal number in rank and file, and he found that he had an excess of 59 men.
Having been given the sum of two numbers,a, and the difference of their squares,b, find the numbers.
The sum of two numbers is 10 and their product is 40. What are the numbers?
A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.
There is a four-sided field whose eastern side measures 35 paces, its western side 45 paces, its southern side 25 paces and its northern side 15 paces. Find the area of this field.

The author shows how teachers can use Leonhard Euler's original works in the classroom to explore Euler's famous polyhedral formula,
V + F = E + 2.

A general mathematics website with much information on the history of mathematics.
There is a lion in a well whose depth is 50 palms. He climbs and slips back a certain amount each day. In how many days will he get out of the well?
Given four numbers whose sum is 9900; the second exceeds the first by 1/7 of the first...
One says that 10 garments were purchased by two men at a price of 72 dirhams. The garments varied in value. The price of each garment of one man is 3 dirhams more than the price for each garment of the other. How many garments did each man buy?

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