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There are a number of wonderful mathematics websites that readers of Convergence should be aware of. We describe some of them here.
Benjamin Banneker solved some trigonometry problems in his extant notebooks. One of them is discussed here. The authors have also discovered the probable source of Banneker's trigonometry table.
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.
Apollonius found how to draw normals to an ellipse from points in the ellipse by using hyperbolas. A modern version is presented here.
A fox, a raccoon, and a hound pass through customs and together pay 111 coins.
What is the value of X...
Illustration of a counting board in Strasbourg
It is required to determine whether 30 horses can be put into 7 stalls; so that in every stall there may be, either a single horse, or an odd number of horses.
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.
A history of attempts to develop formulas expressing the sums of powers of the first n positive integers from the Pythagoreans to Jakob Bernoulli. With exercises.