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Problems from Another Time

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

One hundred men besieged in a castle, have sufficient food to allow each one bread to the weight of 14 lot a day for ten months.
There is a mound of earth in the shape of a frustum of a cone.
A merchant woman buys and sells apples and pears for Denaros. How much did she invest in apples; how much in pears?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A gentleman has a garden of rectangular form and wants to construct a walk of equal width half way round to take up half the garden. What must be the width of this walk?
Prove that if the sums of the square opposite sides of any quadrilateral are equal, its diagonals interect at right angles.
A powerful, unvanquished, excellent black snake, 80 angulas in length, enters into a hole at the rate of 7 1/2 angulas in 5/14 of a day, and in the course of a day its tail grows 11/4 of an angula.
Two cog-wheels, one having 26 cogs, and the other 20 cogs, run together. In how many revolutions of the larger wheel will the smaller gain in 12 revolutions?
A series of circles have their centers on an equilateral hyperbola and pass through its center. Show that their envelope is a lemniscate.
A certain merchant increases the value of his estate by 1/3...