Page:First six books of the elements of Euclid 1847 Byrne.djvu/39

From Wikisource
Jump to navigation Jump to search
There was a problem when proofreading this page.
BOOK I. PROP. V. THEOR.
5

IN any isosceles triangle if the equal sides be produced, the external angles at the base are equal, and the internal angles at the base are also equal.

Produce , and (post. 2.), take = , (pr. 3.); draw and .

Then in and we have, = (const.), common to both, and = (hyp.) ∴ = , = and = (pr. 4.).

Again in and , we have = , ∴ = and = (pr. 4.) but = , ∴ = (ax. 3.)

Q.E.D.