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Arithmos seminars are 24-hour workshops on the classics of mathematics, read in the original, or in a scholarly English translation.
In a rectangle, having given the diagonal and perimeter, find the sides
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 page illustrating the construction of an ellipse, from the Latin translation (1538) of the Treatise on Mensuration of Albrecht D�rer (1471-1528). This book was originally written in German and published in 1525 and was designed to teach German artists the geometrical ideas on which perspective in painting was based.
The sum of the two digits of a 2-digit number is 9. If 45 is subtracted from the number, the result will be expressed by the digits in reverse order. Find the number.
One says that 10 is divided into three parts and if the small part is multiplied by itself and added to the middle one multiplied by itself the result is the large one multiplied by itself...
The king of France entered into a battle and was defeated. How many soldiers did he have before he was defeated?
There are two piles, one containing 9 gold coins, the other 11 silver coins.
If in a circle ABDC, circumscribe an equilateral triangle ABC; the straight line AD is equal to the sum of the two straight lines BD and DC: required a demonstration.