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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?
This is the title page of the French edition of Leonhard Euler's text on Algebra. The text was originally published in German in 1767 in St. Petersburg and then translated into French in 1795.
Four episodes in the history of geometry are discussed, where dynamic geometry helps in understanding the ideas.
A horse halving its speed every day runs 700 miles in 7 days.
Find the area of the elliptical segment cut off parallel to the shorter axis;
A lion, a wolf and a fox each take a certain amount of time to eat a goat separately. How long would it take all these animals together to eat the goat?
Download the two winning essays to learn about using indivisibles to find the area under a cycloid arch in the 17th century and about the Radon transform and its use in x-ray tomography in the 20th century.
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 carpenter has undertaken to build a house in 20 days. He takes on another man and says; "If we build the house together, we can accomplish the work in 8 days!" How long would it take this other man to build the house working alone?
This is the title page of Isaac Barrow's Latin edition of the works of Archimedes, the first four books of Apollonius's Conics, and Theodosius's Spherica. It was published in 1675.

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