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Convergence articles

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Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?
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 certain man says that he can weigh any amount from 1 to 40 pounds using only 4 weights. What size must they be?
There is a number which when divided by 2, or 3, or 4, or 5, or 6 always has a remainder of 1 and is truly divisible by 7. It is sought what is the number?
Here are some things I don't want to forget to ask.
A discussion of aspects of Leonardo of Pisa's Book of Squares.
The highest point of the Andes is about 4 miles above sea level.
If you are h feet tall and walk all the way around the Earth, keeping to the same circumference, how much farther has your head gone than your feet when you complete the journey?
Suppose a man had put out one cent at compound interest in 1620, what would have been the amount in 1824, allowing it to double once in 12 years?

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