Page:First six books of the elements of Euclid 1847 Byrne.djvu/35

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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