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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 wooden log is encased in a wall. If we cut part of the wall away to a depth of 1 inch...
A certain man had in his trade four weights with which he could weigh integral pounds from one up to 40. How many pounds was each weight?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Given a semicircle, Prove that if O is the circle's center, DO=OE.
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.
Of a collection of mango fruits, the king took 1/6; the queen 1/5 the remainder, and the three princes took 1/4, 1/3 and 1/2 (of the same remainder); and the youngest child took the remaining 3 mangoes.
Three vertical posts along a straight canal, each rising to the same height above the surface of the water. By looking at the line of vision, determine, to the nearest mile, the radius of the earth.
Prove geometrically that the hypocycloid is a straight line when the radius of the rolling circle is one-half the radius of the fixed circle.
The third part of a necklace of pearls, broken in a lover's quarrel, fell to the ground...

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