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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.
Make of 10 three parts such that one part multiplied by 3 makes as much as the other multiplied by 4 and as the other multiplied by 5.
A study of some elements of Greek geometry, as part of a course for liberal arts undergraduates on basic concepts of the calculus.
Apollonius found how to draw normals to an ellipse from points in the ellipse by using hyperbolas. A modern version is presented here.
Given a number, take 1/3 of the number away from itself and add 2. If this result is multiplied by itself, it equals the number plus 24. What is the number?
There are a number of wonderful mathematics websites that readers of Convergence should be aware of. We describe some of them here.
A fox, a raccoon, and a hound pass through customs and together pay 111 coins.
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.
A father wills his estate valued at $40, 000 to his three children. Before the settlement one of the children dies. What should the other two receive?