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Convergence articles

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What will the diameter of a sphere be, when its volume and surface area are expressed by the same number?
A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.
A brief outline of policies for submission of articles to Loci.
Request from the editors.
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?
Given four integers where if added together three at a time their sums are: 20, 22, 24, and 27. What are the integers?
A square circumscribed about a given circle is double in area to a square inscribed in the same circle. True of false? Prove your answer.
A popular history of ancient mathematics, dealing with the mathematics of ancient Egypt and Babylonia.
There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?

Three images from Kepler's 1609 Astronomia Nova, the text in which he introduced his first two laws of planetary motion

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