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Problems from Another Time

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

Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.
Three equal circumferences with radii 6" are tangent to each other. Compute the area enclosed between them.
Given two circles tangent to each other and to a common line, determine a relationship between the radii and the distance between the tangent points.
A man bought a number of sheep for $225; 10 of them having died, he sold 4/5 of the remainder for the same cost and received $150 for them. How many did he buy?
A set of four congruent circles whose centers form a square is inscribed in a right triangle ABC where C is the right angle and serves as one corner of the square. Find their radius in terms of the sides; a,b,c, of the triangle.
A barrel has various holes in it. The fist hole empties the barrel in three days...
Two ants are 100 paces apart, crawling back and forth along the same path. The first goes 1/3 pace forward a day and returns 1/4 pace; the other goes forward 1/5 pace and returns 1/6 pace. How many days before the first ant overtakes the second?
Determine the different values of x, when a certain function hits a minimum.
Suppose a man had put out one cent at compound interest in 1620, what would have been the amount in 1824, allowing it to double once in 12 years?
Given a door and a measuring rod of unknown dimensions, the rod is used to measure the door.

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