# Problems from Another Time

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

There is a log 18 feet long, the diameter of the extremities being 1 ft and 2.6 ft respectively...
A general formed his men into a square, that is, an equal number in rank and file, and he found that he had an excess of 59 men.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A farmer sold a team of horses for $440, but did not receive his pay for them until 1 yr, 8 mo after the sale. He had at the same time another offer of$410 for them. Did he gain or lose by the sale and by how much, money being worth 6%/yr?
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?
There is a lion in a well whose depth is 50 palms. He climbs and slips back a certain amount each day. In how many days will he get out of the well?
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 father wills his estate valued at \$40, 000 to his three children. Before the settlement one of the children dies. What should the other two receive?
A certain merchant increases the value of his estate by 1/3...
Of the two water reeds, the one grows 3 feet and the other 1 foot on the first day. The growth of the first becomes every day half of that of the preceding day, while the other grows twice as much as on the day before.