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Essays on how number has been critical to the work of scientists through the ages.
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
The classic work by Dirk Struik is still worth reading, especially for its attention to the social context of the development of mathematical ideas.
A set of four congruent circles whose centers form a square is inscribed in a right triangle ABC where C is the right angle and serves as one corner of the square. Find their radius in terms of the sides; a,b,c, of the triangle.
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?
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 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.
The highest point of the Andes is about 4 miles above sea level.