Page:First six books of the elements of Euclid 1847 Byrne.djvu/50

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16
BOOK I. PROP. XVI. THEOR.

IF a side of a triangle () is produced, the external angle () is greater than either of the internal remote angles ( or ).

Make = (pr. 10.).

Draw and produce it until = ; draw .

In and ; = = and = (const. pr. 15),

= (pr. 4.),

>

In like manner it can be shown, that if be produced, > , and therefore

which is = is > .

Q.E.D.