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Convergence articles

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The story of Nicolaus Mercator, music, and logarithms.
Paul Halmos Photograph Collection, page 2: Arveson, Aschbacher, Askey, Lininger, Atiyah, Doob

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

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.
Given a semicircle, Prove that if O is the circle's center, DO=OE.
Leonardo da Vinci and Albrecht Durer both offered approximate constructions of regular pentagons for the use of artists. This article explains these constructions.
A biography of Hypatia in her times, which carefully distinguishes between the known facts of her life and the many speculations about her.
The radius of a circle is 3.20 meters. Compute to within .001m the areas of the inscribed and circumscribed equilateral triangles.
Archimedes' use of the law of the lever to compute areas and volumes in The Method is discussed. Classroom ready examples are presented.
There is a four sided field.