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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.
There are four winners of the HOMSIGMAA Student Paper Contest for 2008. The papers may be accessed here.
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?
What is the perpendicular height of a cloud when it's angles of elevation were 35 degrees and 64 degrees as taken by two observers?
Determine the radii of three equal circles decribed within and tangent to a given circle, and also tangent to each other
This is a collection of plates that Leonardo da Vinci created to illustrate De divina proportione of Luca Pacioli.
Now there are three sisters who leave home together.
How Servois' failed attempt to construct a foundation for the calculus nonetheless helped shape modern mathematics
There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?
This is the title page to the English version of Isaac Barrow's Geometrical Lectures, which were originally given in his position as Lucasian Professor of Mathematics at Cambridge University. These lectures contain one of the earliest statements and proofs of what is today known as the fundamental theorem of calculus.

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