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Problems from Another Time

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

One hundred men besieged in a castle, have sufficient food to allow each one bread to the weight of 14 lot a day for ten months.
There are two numbers which are to each other as 5 and 6 and the sum of their squares is 2196. What are the numbers?
A merchant woman buys and sells apples and pears for Denaros. How much did she invest in apples; how much in pears?
Suppose a ladder 60 feet long is placed in a street so as to reach a window 37 feet above the ground on one side of the street...
Twenty-three weary travelers entered a delightful forest. There they found 63 numerically equal piles of plantain fruit.
Prove that if the sums of the square opposite sides of any quadrilateral are equal, its diagonals interect at right angles.
A certain bishop ordered that 12 loaves be divided among his clergy.
A powerful, unvanquished, excellent black snake, 80 angulas in length, enters into a hole at the rate of 7 1/2 angulas in 5/14 of a day, and in the course of a day its tail grows 11/4 of an angula.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
A series of circles have their centers on an equilateral hyperbola and pass through its center. Show that their envelope is a lemniscate.

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