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Problems from Another Time

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

Prove that the area of a regular polygon can be given by the product of its perimeter and half the radius of the inscribed circle.
If I were to give 7 pennies to each beggar at my door, I would have 24 pennies left in my purse. How many beggars are there and how much money do I have?
Two circles of radii 25 feet intersect so that the distance between their centers is 30 feet. What is the length of the side of the largest square inscribable within their intersecting arcs?
A horse halving its speed every day runs 700 miles in 7 days.
The incircle O(r) of triangle ABC touches AB at D, BC at E and AC at F. Find r in terms of AD, BE and CF.

How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
A certain man says that he can weigh any amount from 1 to 40 pounds using only 4 weights. What size must they be?
Rabbits and pheasants are put in a basket.
A man plants 4 kernels of corn, which at harvest produce 32 kernels: these he plants the second year; now supposing the annual increase to continue 8 fold, what would be the produce of the 15th year, allowing 1000 kernels to a pint?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions

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