The Square Root of Two is a Real Irrational Number

By

Home / The Square Root of Two is a Real Irrational Number

Last Updated on

Who was Euclid?

"Euclid in The School of Athens by Raffaello Sanzio" by an unknown photographer for the Web Gallery of Art via Wikimedia Commons

Euclid in The School of Athens by Raffaello Sanzio

Euclid of Alexandria, born around 325 BCE, has been called “the father of geometry”. He studied under Plato in Greece, but settled in Alexandria, Egypt.

Euclid’s famous “The Elements” is a thirteen-volume tome that lays the foundations for geometry and number theory. It contains the famous “Five Postulates” of geometry. By changing only the fifth postulate in Book I, Euclidean geometry (“plane geometry”) can be transformed into spherical geometry or other non-Euclidean forms.

In “The Elements”, Book X deals with irrational numbers.

Euclid died about 265 BCE.

References:
Clegg, Brian. “The Dangerous Ratio“. Enriching Mathematics. (Nov. & Dec. 2004). Accessed Sept. 17, 2011.
Foster, T.L. “Euclid of Alexandria“. Accessed Sept. 18, 2011.
Joyce, D.E. “Euclid’s Elements, Book I”. Clark University. Accessed Sept. 18, 2011.
Joyce, D.E. “Euclid’s Elements, Book X”. Clark University. Accessed Sept. 19, 2011.

Leave a Comment

Close Bitnami banner
Bitnami