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Convergence articles

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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.

The author shows how teachers can use Leonhard Euler's original works in the classroom to explore Euler's famous polyhedral formula,
V + F = E + 2.

A bibliographical reference to mathematics books printed in the new world before 1700.

A biography stressing Agnesi's deep commitment to help those in need.
There is a mound of earth in the shape of a frustum of a cone.
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
The ICM meets every four years. This year, the meeting takes place August 22-30 and is being held in Madrid. Section 20 of the Congress deals with the history of mathematics.
A tree is 20 feet tall and has a circumference of 3 feet. There is a vine that winds seven equally spaced times around the tree and reaches the top. What is the length of the vine?
On a certain ground stands two poles 12 feet apart, the lesser pole is 35 ft. in height and the greater 40 ft. It is sought, if the greater pole will lean on the lesser, then in what part will it touch?

The authors provide an analysis and English translation of the argument by a little known French mathematician that calculus should be based on series rather than on infinitesimals.

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