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Problems from Another Time

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

The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Two men brought their fish through customs. Find how much the fish cost, and what is the customs fee.
In a given square, inscribe 4 equal circles so that...
An erect pole of 10 cubits has its base moved 6 cubits. Determine the new height and the distance the top of the pole is lowered.
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.
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.
One says that 10 is divided into three parts and if the small part is multiplied by itself and added to the middle one multiplied by itself the result is the large one multiplied by itself...
Three equal circumferences with radii 6" are tangent to each other. Compute the area enclosed between them.
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.

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