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Convergence articles

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Tomato Can

A cylindrical tin tomato can is to be made which shall have a given capacity. Find what should be the ratio of the height to the radius of the base that the smallest possible amount of tin shall be required.

Guidelines for Convergence Authors
Instructions that apply to Convergence but not necessarily to other areas of Loci
A Tower on a Cliff

A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.

Museum of the History of Science, Oxford
There is much to see in this museum related to the history of mathematics.
Japanese Temple Problem

Given two circles tangent to each other and to a common line, determine a relationship between the radii and the distance between the tangent points.

James Joseph Sylvester: Jewish Mathematician in a Victorian World

The first detailed biography of James Joseph Sylvester.

A Hole in One?

A barrel has various holes in it. The first hole empties the barrel in three days...

Disjoint Congruent Circles

A set of n disjoint, congruent circles packs the surface of a sphere S so that each region of the surface exterior to the circles is bounded by arcs of three of the circles.

Extracting Square Roots Made Easy: A Little Known Medieval Method
A method for extracting square roots used in Italy through the 18th century was introduced in a manuscript by the 12th century mathematician al-Hassar. Appendix: When Was Fermat Born? (Not in 1601 ...)
The Time It Takes To Eat a Goat

A lion, a wolf and a fox each take a certain amount of time to eat a goat separately. How long would it take all these animals together to eat the goat?

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