Page:First six books of the elements of Euclid 1847 Byrne.djvu/51

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BOOK I. PROP. XVII. THEOR.
17

ANY two angles of a triangle are together less than two right angles.

Produce , then will

+ =

But, > (pr. 16.)

+ < ,

and in the same manner it may be shown that any other two angles of the triangle taken together are less than two right angles.

Q.E.D.