Axiom:Euclid's Third Postulate

Postulate

Given any line segment, a circle can be drawn using the segment as the radius with one endpoint as the center.

In the words of Euclid:

To describe a circle with any centre and distance.

(The Elements: Book $\text{I}$: Postulates: Euclid's Third Postulate)

Sources

• 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 1 (2nd ed.) ... (previous) ... (next): Book $\text{I}$. Postulates
• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Euclid's axioms
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Euclidean geometry
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Euclidean geometry