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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 California miner has a spherical ball of gold, 2 inches in diamter, which he wants to exchange for spherical balls 1 inch in diameter. How many of the smaller spheres should he receive?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
The sum of two numbers is 10 and their product is 40. What are the numbers?
There is a mound of earth in the shape of a frustum of a cone.
In baking a hemispherical loaf of bread of 10" radius, the crust was everywhere of an equal thickness, and the solidity of the crust was equal to half the solid content of the whole loaf. What were the dimensions of the interior soft part?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Given a triangular piece of land having two sides 10 yards in length and its base 12 yards, what is the largest square that can be constructed within this piece of land so that one of its sides lies along the base of the triangle?
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?
What is the sum of the following series, carried to infinity: 11, 11/7, 11/49, etc.?
There are two columns in the ruins of Persepolis left standing upright; one is 70 ft. above the plane, and the other 50 ft;

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