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Arithmos seminars are 24-hour workshops on the classics of mathematics, read in the original, or in a scholarly English translation.
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.
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
Cantor's work on Fourier series provides historical motivation for the study of point-set topology.
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?
This is a page from a manuscript of the Algebra (Maqalah fi al-jabra wa-al muqabalah) of Omar Khayyam (1048-1131). This work is known for its solution of the various cases of the cubic equation by finding the intersections of appropriately chosen conic sections.
The sum of the two digits of a 2-digit number is 9. If 45 is subtracted from the number, the result will be expressed by the digits in reverse order. Find the number.
We sadly announce the untimely death of one of Convergence's editorial board members.
There are two piles, one containing 9 gold coins, the other 11 silver coins.
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;