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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 cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
An official asks a woman why she has so many bowls to wash. The woman explains that she had dinner guests who ate meat, rice, and soup. Judging by the number of bowls, how many guests were there?
What it took to get an 8th grade education in 1895
A lion, a wolf and a fox each take a certain amount of time to eat a goat separately. How long would it take all these animals together to eat the goat?
The purchase price for an apple and an orange is 100 yen. When n oranges and n + 3 apples are bought the price is 520 yen. Find the number n of oranges and the price of one orange.
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
Given the dimensions of an isosceles trapezoid find the length of the transversal drawn parallel to the bases that divides the trapezoid into 2 equal areas.
The number 50 is divided by a certain number. If the divisor is increased by 3, the quotient decreases by 3.75. What is the number?
Determine the dimensions of the least isosceles triangle ACD that can circumscribe a given circle.

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