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This is the title page to Rene Descartes' Treatise on Method, with its three famous essays on Dioptrics, Meteorology, and Geometry. The third essay contains Descartes' treatment of analytic geometry as well as his theory of equations and his rule for finding the normal to a given curve.
The work of the great Renaissance artist/scientist Leonardo da Vinci can be taught in secondary schools through an integrated approach of several disciplines. This article explores the approach of the Ross School.
What is the perpendicular height of a cloud when it's angles of elevation were 35 degrees and 64 degrees as taken by two observers?
Find two numbers, x and y, such that their sum is 10 and x/y + y/x = 25
You have two sums of money, the difference of which is 2 dirhams; you divide the smaller sum by the larger and the quotient is equal to 1/2. What are the two sums of money?
Determine the radii of three equal circles decribed within and tangent to a given circle, and also tangent to each other
In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"
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.
Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.

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