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Download the two winning essays to learn about using indivisibles to find the area under a cycloid arch in the 17th century and about the Radon transform and its use in x-ray tomography in the 20th century.
A woodcutter starts to fell a tree 4 feet in diameter, and cuts half way through. One face of the cut is horizontal, and the other face is inclined to the horizontal at an angle of 45 degrees. Find the volume of the wood cut out.
This is the title page of Isaac Barrow's Latin edition of the works of Archimedes, the first four books of Apollonius's Conics, and Theodosius's Spherica. It was published in 1675.
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
A railway train strikes a snowdrift which creates a constant resistance. How long does it take the snow to stop the train?
A tree is 20 feet tall and has a circumference of 3 feet. There is a vine that winds seven equally spaced times around the tree and reaches the top. What is the length of the vine?
Heron of Alexandria (ca 200) wrote on many aspects of applied mathematics.
We sadly announce the untimely death of one of Convergence's editorial board members.
A man died leaving 3 sons, to whom he bequeathed his estate in the following manner: to the eldest he gave 184 dollars; to the second 155 dollars and to the third 96 dollars;
A comprehensive history of trigonometry from ancient times to the Renaissance.

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