# Problems from Another Time

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

Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Three congruent circles of radius 6 inches are mutually tangent to one another. Compute the area enclosed between them.
In a certain lake, swarming with red geese, the tip of a lotus bud was seen to extend a span [9 inches] above the surface of the water.
Now a pile of rice is against a wall, it has a base perimeter of 60 feet and a height of 12 feet.
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.
Three equal circumferences with radii 6" are tangent to each other. Compute the area enclosed between them.
What number which being increased by 1/2, 1/3, and 1/4 of itself, the sum shall be 75?
A gentleman has bought a rectangular piece of land whose perimeter is to be 100 rods.
A boy gives 11 coins of equal denomination to a man, and the man finds that their total value in yen is 4 less than his age.