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Convergence articles

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Images of the first printed edition of Euclid's Elements

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 discussion of why we use "e" to represent the base of the natural logarithm system.
A two door gate of unknown width is opened so that a 2 inch gap exists between the two doors.
A dramatization, in two Acts, of the struggles of European mathematicians of the seventeenth and eighteenth centuries to come to terms with the newly admitted negative numbers.
Mathematics is often referred to today as the "science of patterns." But has this always been true historically, or is this something that happened in recent times? The question is discussed here with reference to the work of Euclid and Jacob Steiner.
Two merchants, A and B, loaded a ship with 500 hhds (hogshead) of rum; A loaded 350 hhds, and B the rest; in a storm the seamen were obliged to throw overboard 100 hhds; how much must each sustain of the loss?
A horse, halving its speed each day, travels 700 miles in 7 days. How far does it travel each day?
An interesting problem from Banneker's notebook as well as other problems to use with students.
What will the diameter of a sphere be, when its volume and surface area are expressed by the same number?

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