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Problems from Another Time

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

Three hundred pigs are to be prepared for a feast.
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 tree with 100 branches. How many nests, eggs and birds are there?
In one day, a person can make 30 arrows or fletch [put the feathers on] 20 arrows.
Two men starting from the same point begin walking in different directions. Their rates of travel are in the ratio 7:3.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
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.
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.
A round pond sits in a rectangular garden. Its center is inaccessible; however, you know the distances from each corner of the garden to the center of the pond: 60, 52, 28, and 40 yards. What is the radius of the pond?
A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.

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