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"euclid"5 articles archived since 1845

The Math Wars, Lewis Carroll Style

In 1879, Charles Dodgson, better known as Lewis Carroll, published an odd little book called Euclid and his Modern Rivals (available for free at the Internet Archive).

March 4, 2014 — Evelyn Lamb
Chasing the Parallel Postulate

Chasing the Parallel Postulate

Euclidean geometry, codified around 300 BCE by Euclid of Alexandria in one of the most influential textbooks in history, is based on 23 definitions, 5 postulates, and 5 axioms, or “common notions.” But as I mentioned in my recent post on hyperbolic geometry, one of the postulates, the parallel postulate, is not like the others.

February 28, 2014 — Evelyn Lamb