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Problems from Another Time

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

Find the greatest value of y in the equation a4 x2= (x2 + y2)3.
A square circumscribed about a given circle is double in area to a square inscribed in the same circle. True of false? Prove your answer.
A square walled city of unknown dimensions has four gates, one at the center of each side.
Given a guest on horseback rides 300 li in a day. The guest leaves his clothes behind. The host discovers them after 1/3 day, and he starts out with the clothes.

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