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Problems from Another Time

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

To find three quantities x.y, and z...
There is a tree with 100 branches. How many nests, eggs and birds are there?
Two men starting from the same point begin walking in different directions. Their rates of travel are in the ratio 7:3.
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?
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...
A cylindrical tin tomato can is to be made which shall have a given capacity. Find what should be the ratio of the height to the radius of the base that the smallest possible amount of tin shall be required.
A round pond sits in a rectangular garden. Its center is inaccessible; however, you know the distances from each corner of the garden to the center of the pond: 60, 52, 28, and 40 yards. What is the radius of the pond?
Twenty-three weary travelers entered a delightful forest. There they found 63 numerically equal piles of plantain fruit.
A certain bishop ordered that 12 loaves be divided among his clergy.
A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.

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