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Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

One person possesses 7 asavas horses, another 9 hayas horses, and another 9 camels. Each gives two animals away, one to each of the others.
A number of 3 digits in base 7 has the same three digits...
If two Post-boys, A and B at 59 miles distance from one another, set out in the morning in order to meet...
Suppose the area of an equilateral triangle be 600. The sides are required.
A certain gentleman ordered that 90 measures of grain were to be transported from his house to another, 30 leucas distant.
Determine the radii of three equal circles decribed within and tangent to a given circle, and also tangent to each other
The radius of a circle is 3.20 meters. Compute to within .001m the areas of the inscribed and circumscribed equilateral triangles.
Given a pendulum as shown. The height of the pendulum is two units and its horizontal width is 2 units. What is the area of the pendulum?
I wish to find three numbers of such nature that the first and the second with 1/2 of the third makes 20...
If in a circle ABDC, circumscribe an equilateral triangle ABC; the straight line AD is equal to the sum of the two straight lines BD and DC: required a demonstration.

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