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A series of circles have their centers on an equilateral hyperbola and pass through its center. Show that their envelope is a lemniscate.
A railway train strikes a snowdrift which creates a constant resistance. How long does it take the snow to stop the train?
Paul Halmos Photograph Collection, page 2: Arveson, Aschbacher, Askey, Lininger, Atiyah, Doob
Heron of Alexandria (ca 200) wrote on many aspects of applied mathematics.
This is the title page to Rene Descartes' Treatise on Method, with its three famous essays on Dioptrics, Meteorology, and Geometry. The third essay contains Descartes' treatment of analytic geometry as well as his theory of equations and his rule for finding the normal to a given curve.
Two persons sat down to play for a certain sum of money; and agree that the first who gets three games shall be the winner. After a few games they resolve to divide the stakes. How much should each person receive?
A barrel has various holes in it. The fist hole empties the barrel in three days...
Given two circles tangent to each other and to a common line, determine a relationship between the radii and the distance between the tangent points.
A man agreed to pay for 13 valuable houses worth $5000 each, what the last would amount to, reckoning 7 cents for the first, 4 times 7 cents for the second, and so on, increasing the price 4 times on each to the last.
There is much to see in this museum related to the history of mathematics.

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