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Problems from Another Time

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

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.
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.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A wooden beam is stood vertically against a wall. The length of the beam is 30 units.
In a circle whose circumference is 60 units, a chord is drawn forming a segment whose sagitta is 2 units. What is the length of the chord?
The dimensions of a rectangular box in inches are expressed by three consecutive numbers. The surface of the box is 292 square inches. Find the dimensions.
Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.
A man is walking across a bridge, when a boat passes under the bridge.How rapidly are the boat and the pedestrian separating after the boat passes under the bridge?
One person possesses 7 asavas horses, another 9 hayas horses, and another 9 camels. Each gives two animals away, one to each of the others.
In a given square, inscribe 4 equal circles so that...

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