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Convergence articles

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The answer to the following question is obtained using as optimum strategy-the farmer is getting the "best deal" possible. Can you figure out the solution strategy?...
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
A man bought a number of sheep for $225; 10 of them having died, he sold 4/5 of the remainder for the same cost and received $150 for them. How many did he buy?
The history of the four color problem with sketches of the attempted proofs in the nineteenth century and an outline of the computer proof of the twentieth century.
A set of four congruent circles whose centers form a square is inscribed in a right triangle ABC where C is the right angle and serves as one corner of the square. Find their radius in terms of the sides; a,b,c, of the triangle.
Two travelers, starting at the same time from the same point, travel in opposite directions round a circular railway.

A bibliographical reference to mathematics books printed in the new world before 1700.

The highest point of the Andes is about 4 miles above sea level.
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.
A collection of biographies of sixty mathematicians from the eighteenth century to the twentieth.

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