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EA : and because AD is equal to DC, and DE common to the triangles ADE, CDE, the two sides AD, DE are equal to the two CD, DE, each to each ; and the angle ADE is equal to the angle CDE, for each of them is a right angle ; therefore the base AE is equal...
The Elements of Euclid: With Dissertations Intended to Assist and Encourage ... - Page 88
by Euclid, James Williamson - 1781 - 309 pages

Books 3-9

Euclid - Mathematics, Greek - 1908 - 456 pages
...equal to DC, and DE is common, the two sides AD, DE are equal to the two sides CD, DE respectively ; and the angle ADE is equal to the angle CDE, for each is right ; therefore the base AE is equal to the base CE. But AE was proved equal to BE ; therefore BE...

The Thirteen Books of Euclid's Elements

Euclid - 452 pages
...equal to DC, and DE is common, the two sides AD, DE are equal to the two sides CD, DE respectively ; and the angle ADE is equal to the angle CDE, for each is right ; therefore the base AE is equal to the base CE. But AE was proved equal to BE ; therefore BE...