Euclid.
BOOK I.
PROPOSITION I. PROBLEM.
N a given finite straight line () to describe an equilateral triangle.
Describe and (postulate 3.); draw and (post. 1.). then will be equilateral.
For = (def. 15.);
and = (def. 15.),
∴ = (axiom. 1.);
and therefore is the equilateral triangle required.
Q.E.D