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Convergence articles

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Four episodes in the history of geometry are discussed, where dynamic geometry helps in understanding the ideas.
Wanting to know the breadth of a river, I measured a base of 500 yards in a straight line close by one side of it.
A horse halving its speed every day runs 700 miles in 7 days.
In baking a hemispherical loaf of bread of 10" radius, the crust was everywhere of an equal thickness, and the solidity of the crust was equal to half the solid content of the whole loaf. What were the dimensions of the interior soft part?
In a given square, inscribe 4 equal circles so that...
Find the isoceles triangle of smallest area that circumscribes a circle of radius 1.
Greek ladders for approximating square roots may be more ancient than the ancient Greeks. Students at any level can appreciate their beauty and simplicity. Those who have studied calculus can compare them with Newton's Method for approximating roots.
A thorough study of Benjamin Franklin's mathematical accomplishments, in particular his work on magic squares.
A four-sided town measures 1100 feet on one side and 1000 feet on the other side, on one edge 600 and the other edge 600.
Rabbits and pheasants are put in a basket.

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