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Problems from Another Time

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

If an equilateral triangle whose area is equal to 10,000 square feet be surrounded by a walk of uniform width, and equal to the area of the inscribed circle, what is the width of the walk?
A fox, a raccoon, and a hound pass through customs and together pay 111 coins.
Imagine an urn with two balls, each of which may be either white or black. One of these balls is drawn and is put back before a new one is drawn.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A bridge is built across a river in 6 months by 45 men. It is washed away by the current. Required the number of workmen sufficient to build another of twice as much worth in 4 months.
Given right triangle ABC where C is the right angle, ellipse O (a,b) is inscribed in it, with its major axis parallel to BC. Calculate the semi-major axis, a, in terms of AC, BC and b.
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
A man went to a draper and bought a length of cloth 35 braccia long to make a suit of clothes.
The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11″ and a second side, 19″. Find the lengths of the sides of the second triangle.
Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...

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