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When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
The First Six Books: Together with the Eleventh and Twelfth - Σελίδα 10
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...angle ADG is equal (8. 1.) to the angle GDB : But when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of the angles is a right angle (7. def. 1.) Therefore the angle GDB is a right angle : But FDB is likewise a right angle...

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...angle ADG is equal (8. i.) to the angle GDB : but when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of the angles is a right angle (10 Def. i.); therefore the angle GDB is a right angle : But FDB is likewise a (Constr.)...

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