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Problems from Another Time

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

Imagine an urn with two balls, each of which may be either white or black. One of these balls is drawn and is put back before a new one is drawn.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
A wooden log is encased in a wall. If we cut part of the wall away to a depth of 1 inch...
Suppose a lighthouse is built on the top of a rock; the distance between a place of observation and that part of the rock level with the eye is 620 yds.
In a forest, a number of apes equal in number to the square of 1/8 of the total number of apes are noisy. The remaining 12 apes are on a nearby hill irritated. What is the total number of apes in the pack?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the length of those sides.
A mouse is at the top of a poplar tree 60 braccia high, and a cat is on the ground at its foot. The mouse decends 1/2 a braccia a day and at night it turns back 1/6 of a braccia.
Find the area of the elliptical segment cut off parallel to the shorter axis;
A number of 3 digits in base 7 has the same three digits...

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