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Convergence articles

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An interesting problem from Banneker's notebook as well as other problems to use with students.
A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.
History of Maya calendars, including the modified base 20 number system used in them
Two circles of radii 25 feet intersect so that the distance between their centers is 30 feet. What is the length of the side of the largest square inscribable within their intersecting arcs?
This is from a letter of June, 1695 in which Leibniz is discussing differentiation with Johann Bernoulli. The work in which these letters appear is the Virorum Celeberr. Got. Gul. Leibnitii et Johann Bernoulli Commercium Philosophicum et Mathematica, originally published in 1740.
This website devoted to miscellanea about Archimedes contains much interesting material about his life and times.
There is a number which when divided by 2, or 3, or 4, or 5, or 6 always has a remainder of 1 and is truly divisible by 7. It is sought what is the number?
A survey of the attempts to prove Kepler's conjecture over the past 400 years.
A discussion of aspects of Leonardo of Pisa's Book of Squares.
There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?

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