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Page 4: Images of Jose Barria, Paul Halmos, Robert Bartle, Marshall Stone, Hyman Bass, and Joseph Bastian from the Halmos snapshot collection
I am a brazen lion; my spouts are my 2 eyes, my mouth, and the flat of my foot. My right eye fills a jar in 2 days, my left eye in 3, and my foot in 4.
This is the title page of the 1599 edition of the Rechenbuch of Simon Jacob (d. 1564), a Rechenmeister of the sixteenth century. This was a commercial arithmetic text, in which the basic laws of arithmetic were applied to many practical problems.
Find the area of the elliptical segment cut off parallel to the shorter axis;
Three circles of varying radius are mutually tangent. The area of the triangle connecting their centers is given. Find the radius of the third circle.
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.
There is a round town 8000 feet in circumference.
The king of France entered into a battle and was defeated. How many soldiers did he have before he was defeated?
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.
As for a square piece of land that amounts to 100 square cubits, if it is said to you, "Cause it to make a piece of land that amounts to 100 square cubits that is round," what is the required diameter?