Page:First six books of the elements of Euclid 1847 Byrne.djvu/36

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BOOK I. PROP. II. PROB.

FROM a given point (), to draw a straight line equal to a given finite straight line ().

Draw (post. 1.), describe (pr. 1.), produce (post. 2.), describe (post. 3.), and (post. 3.); produce (post. 2.), then is the line required.

For = (def. 15.), and = (const.), ∴ = (ax. 3.), but (def. 15.) = =  :

drawn from the given point (), is equal the given line .

Q.E.D.