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Convergence articles

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Teaching Leonardo: An Integrated Approach

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.

Area of an Equilateral Triangle

Suppose the area of an equilateral triangle be 600. The sides are required.

A Swarm of Bees

The square root of half the number of bees in a swarm has flown out upon a jessamine bush; 8/9 of the swarm has remained behind.

Pioneers in Mathematics
A five-volume set of biographies of mathematicians from ancient times to the twentieth century, aimed at secondary students.
X Marks The Spot

What is the value of X...

Surveying a Field

I was employed to survey a field, which I was told was an exact geometrical square, but by reason of a river running through it, I can only obtain partial measurements.

Johannes Kepler's Astronomia Nova

Three images from Kepler's 1609 Astronomia Nova, the text in which he introduced his first two laws of planetary motion

Prove the Straight Lines

Given two circles tangent at the point P with parallel diameters AB and CD, prove that APD and BPC are straight lines.

Conic Contents

Determine the greatest cylinder that can be inscribed in a given cone.

Tree and Vine

A tree is 2 zhang tall and has a circumference of 3 chi. There is a vine that winds seven equally spaced times around the tree and reaches the top. What is the length of the vine?

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