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Problems from Another Time

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

Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the lengths of those sides.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
There is a fish whose body weighs 8oz. Tell me how much the whole fish weighs?
Now there are six-headed four-legged animals and four-headed two-legged birds placed together.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
There is a tree with 100 branches. How many nests, eggs and birds are there?
Two men brought their fish through customs. Find how much the fish cost, and what is the customs fee.
Two men starting from the same point begin walking in different directions. Their rates of travel are in the ratio 7:3.
A cylindrical tin tomato can is to be made which shall have a given capacity. Find what should be the ratio of the height to the radius of the base that the smallest possible amount of tin shall be required.
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.

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