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Problems from Another Time

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

There is a garden is the shape of a rhombus whose side is 768.52 feet. Within the garden is an inscribed square flower bed whose side is 396 feet. What is the area of the garden?
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
A man went to a draper and bought a length of cloth 35 braccia long to make a suit of clothes.
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.
Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
Three congruent circles of radius 6 inches are mutually tangent to one another. Compute the area enclosed between them.
Determine the dimensions of the least isosceles triangle ACD that can circumscribe a given circle.
Determine the radii of three equal circles decribed within and tangent to a given circle, and also tangent to each other
Given four numbers whose sum is 9900; the second exceeds the first by 1/7 of the first...

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