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Convergence articles

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Given a semicircle, Prove that if O is the circle's center, DO=OE.
It is required to determine whether 30 horses can be put into 7 stalls; so that in every stall there may be, either a single horse, or an odd number of horses.
The radius of a circle is 3.20 meters. Compute to within .001m the areas of the inscribed and circumscribed equilateral triangles.

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 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.
Find two number with sum 20 and when squared their sum is 208.
Three vertical posts along a straight canal, each rising to the same height above the surface of the water. By looking at the line of vision, determine, to the nearest mile, the radius of the earth.
If an equilateral triangle whose area is equal to 10,000 square feet be surrounded by a walk of uniform width, and equal to the area of the inscribed circle, what is the width of the walk?
There were two men, of whom the first had 3 small loaves of bread and the other, 2.