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Convergence articles

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A gentleman has bought a rectangular piece of land whose perimeter is to be 100 rods; and he is to pay 1 dollar for each rod in the length of the land and 3 dollars for each rod in the breath of the land.
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.
Historical Problems can be used to enliven any mathematics class. Here are some examples from medieval times, from a 19th century American textbook, and from a 19th century Armenian textbook, among other sources.
The square of a certain number multiplied by itself and by 200 is 446,976. What is the number?
A study of Victorian idealism and its relation to religion, as exemplified in the work of three 19th century British mathematicians.
I have two fields of grain. From the first field I harvest 2/3 a bushel of grain/unit area; from the second, 1/2 bushel/unit area.
A novel about Pythagoras and his followers
A man has four creditors. To the first he owes 624 ducats; to the second, 546; to the third, 492; and to the fourth 368.

A collection of images of historical texts and tools to share with your students

Two persons sat down to play for a certain sum of money; and agree that the first who gets three games shall be the winner. After a few games they resolve to divide the stakes. How much should each person receive?

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