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Convergence articles

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Abel on Elliptic Integrals: A Translation

A translation of one of the seminal papers in the field of elliptic integrals, but one that can be read by an undergraduate.

Pearls of Wisdom

The third part of a necklace of pearls, broken in a lover's quarrel, fell to the ground...

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?

Box of Beads

In the figure at the left, if the radii of each inscribed circle is 1, what are the dimensions of the bounding rectangle?

Weights and Measures

A certain man says that he can weigh any amount from 1 to 40 pounds using only 4 weights. What size must they be?

Historical Activities for the Calculus Classroom

Curve sketching, tangent lines, and optimization, explored via interactive applets

The Door is Ajar

A two door gate of unknown width is opened so that a 2 ts'un gap exists between the two doors.

Horses to Qi

Now a good horse and an inferior horse set out from Chang'an to Qi. Qi is 3000 li from Chang'an.

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