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Convergence articles

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Short biographies of mathematicians with mathematical activities.
A survey of the mathematics education of cadets in the first century after the founding of the U.S. Military Academy.
In a circle whose circumference is 60 units, a chord is drawn forming a segment whose sagitta is 2 units. What is the length of the chord?
A two door gate of unknown width is opened so that a 2 inch gap exists between the two doors.
A circle, a square and an equilateral triangle all have the same perimeter equal to 1 meter. Compare their areas.
There is a right triangle where: the sum of the upright multiplied by itself twice and the hypotenuse multiplied by itself is 700 units; and, the sum of the base multiplied by itself twice and the hypotenuse multiplied by itself is 900 units.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
A man entered an orchard through 7 gates, and there took a certain number of apples. When he left the orchard, he gave the first guard half the apples he had and 1 apple more.
An interesting problem from Banneker's notebook as well as other problems to use with students.
In order to encourage his son in the study of arithmetic, a father agrees to pay him 8 pennies for every problem solved correctly and to charge him 5 pennies for each incorrect solution.

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