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The Magic Squares of Manuel Moschopoulos

A translation from the original Greek of a manuscript on magic squares by the Byzantine scholar Manuel Moschopoulos, written about 1315

Chuquet's Rule of Average Numbers

Prove Chuquet's rule of average numbers.

Numbers Game #2

Given a number, take 1/3 of the number away from itself and also remove 2. If this result is multiplied by itself, it equals the number plus 24. What is the number?

Measuring America

The beginnings of land measurement in the early United States and how this affected American democracy.

Four Numbers

Given four numbers whose sum is 9900; the second exceeds the first by 1/7 of the first...

Sugar per Pound

What proportions of sugar at 8 cents, 10 cents and 14 cents per pound, will compose a mixture worth 12 cents per pound?

Review of Eratosthenes' Geography

An English translation of Eratosthenes' Geography, which includes "On the Measurement of the Earth."

Out to Pasture 2

X, Y and Z hired a pasture for the season for $90.00. Each has a different number of mules and are on the pasture for a different number of days. How much is each to pay?

Plimpton 322

Photo of Plimpton 322, an old Babylonian Tablet, from the Plimpton Collection at the Columbia University Library. Part of the Mathematical Treasures section of Loci: Convergence.

Two Balls, No Strikes!

Imagine an urn with two balls, each of which may be either white or black. One of these balls is drawn and is put back before a new one is drawn.