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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.

Creatures with Four or Six Heads

Now there are six-headed four-legged animals and four-headed two-legged birds. Find the total number of animals and birds.

Maximization

Find the greatest value of y in a given equation.

Crown of Metal

Make a crown of gold, copper, tin, and iron weighing 60 minae: gold and copper shall be 2/3 of it; gold and tin, 3/4 of it; and gold and iron, 3/5 of it. Find the required weights of gold, copper, tin, and iron.

Three Piles of Rice

Now a pile of rice is against a wall with a base circumference 60 chi and an altitude of 12 chi.