Page:First six books of the elements of Euclid 1847 Byrne.djvu/53

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BOOK I. PROP. XIX. THEOR.
19

F in any triangle one angle be greater than another the side which is opposite to the greater angle, is greater than the side opposite the less.

If be not greater than then must = or < .

If = then = (pr. 5.); which is contrary to the hypothesis.

is not less than for if it were, < (pr. 18.) which is contrary to the hypothesis:

> .

Q.E.D.