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Convergence articles

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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 new edition of a classic work on number theory.
Page 7, Who's That Mathematician: Images from the Paul R. Halmos Photograph Collection: Blackwell, Halmos, Boas, Bollobas, Bombieri, Mumford, Bonsall, Rankin
Information on previous ESUs
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 work of the great Renaissance artist/scientist Leonardo da Vinci can be taught in secondary schools through an integrated approach of several disciplines. This article explores the approach of the Ross School.

The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11″ and a second side, 19″. Find the lengths of the sides of the second triangle.

You have two sums of money, the difference of which is 2 dirhems; you divide the smaller sum by the larger and the quotient is equal to 1/2. What are the two sums of money?

Now there is a wall 5 feet thick and two rats tunnel from opposite sides.

A gentleman has bought a rectangular piece of land whose perimeter is to be 100 rods.

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