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Convergence articles

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If an arc of 45 degrees on one circumference is equal to an arc of 60 degrees on another circle, what is the ratio of the areas of the circle?
A wooden log is encased in a wall. If we cut part of the wall away to a depth of 1 inch...
A man entered an orchard through 7 gates, and there took a certain number of apples. When he left the orchard, he gave the first guard half the apples he had and 1 apple more.
A square walled city measures 10 li on each side. At the center of each side is a gate. Two persons start walking from the center of the city.
Given a right triangle where you know the length of the base and the sum of the perpendicular side and the hypotenuse.

Download the three winning essays to learn about medieval Islamic dust boards, Old Babylonian similarity, and the Fermat Problem.
A survey of concepts of infinite sets over the centuries.
A merchant bought 50,000 pounds of pepper in Portugal for 10,000 scudi and paid a tax of 500 scudi.
Now there are 100 deers [being distributed] in a city. If one household has one deer there is a remainder...Find the number of households in the city.
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.

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