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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 number of 3 digits in base 7 has the same three digits...
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?
If two Post-boys, A and B at 59 miles distance from one another, set out in the morning in order to meet...
The square of a certain number multiplied by itself and by 200 is 446,976. What is the number?
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?
Suppose that for every 4 cows a farmer has, he should plow 1 acre of land, and allow 1 acre of pasture for every 3 cows; how many cows could he keep on 140 acres?
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.
The cavity of our chimney is an upright parallelepiped, the diagonal of whose base is 60"; and the height of the lower side of the lintel above the plane of the floor is 40".
There are two numbers whose sum equals the difference of their squares.
Given a number, take 1/3 of the number away from itself and add 2. If this result is multiplied by itself, it equals the number plus 24. What is the number?

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