# Convergence articles

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

The expression 0^0 is usually called an indeterminate form. This article details the history of the meaning of this expression and concludes that, in some cases, we should evaluate it as 1.

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?

Now there are six-headed four-legged animals and four-headed two-legged birds placed together.

Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.

A set of four congruent circles whose centers form a square is inscribed in a right triangle ABC where C is the right angle and serves as one corner of the square. Find their radius in terms of the sides; a,b,c, of the triangle.

A survey of over two thousand years of the history of mathematics on the Indian subcontinent.

There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?

The annual meeting of the NCTM contains numerous sessions dealing with the history of mathematics.

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