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Convergence articles

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William Cook recounts the history of and computational progress on the traveling salesman problem, emphasizing connections within mathematics and with other disciplines.

Given four integers where if added together three at a time their sums are: 20, 22, 24, and 27. What are the integers?
An erect pole of 10 cubits has its base moved 6 cubits. Determine the new height and the distance the top of the pole is lowered.
Aspects of classical Greek mathematics are compared with areas of Babylonian mathematics.
This is the opening page of the section of the geometrical work of Oronce Fine (1494-1555) dealing with Euclid's work on circles. This is part of Fine's major work entitled Protomathesis, which covered arithmetic, astronomy and astronomical instruments, as well as geometry.
A square circumscribed about a given circle is double in area to a square inscribed in the same circle. True of false? Prove your answer.
The story of Nicolaus Mercator, music, and logarithms.
Given a semicircle, Prove that if O is the circle's center, DO=OE.
Considering non-unique representation of Maya calendar numbers may help your students understand their own number system better.
The radius of a circle is 3.20 meters. Compute to within .001m the areas of the inscribed and circumscribed equilateral triangles.

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