 When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that on which it stands.  Introduction and books 1,2 - Page 167by Euclid - 1908Full view - About this book
 | John Playfair - Circle-squaring - 1819 - 350 pages
...is equal (8. 1.) to the angle CHG ; and thpy are adjacent angles ; now when a straight line standing on a straight line makes the adjacent angles equal to one another, each of them is a right angle, and the straight line which stands upon the other is called a perpendicular... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...Therefore the 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 : (Ю. Def. 1 .) Therefore the angle GDB is a right angle. But FDB is likewise... | |
 | Euclides - 1826 - 226 pages
...are right lines, it is called a rectilineal angle. 10. When a right line standing on another right line, makes the adjacent angles equal to one another, each of the equal angles is a right angle, and the right Tine standing on the other is called a perpendicular. 11. An obtuse angle... | |
 | Euclid - 1826 - 234 pages
...are right lines, it is called a rectilineal angle. 10. When a right line standing on another right line, makes the adjacent angles equal to one another, each of the equal angles is a right angle, and the right line standing on the other is called a perpendicular. 11. An obtuse angle... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...therefore the angle AFE is equal * to the angle BFE: but when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of them is a right* angle; therefore each of the angles AFE, BFE, *1oDef. 1. is a right angle: wherefore... | |
 | Thomas Curtis - Aeronautics - 1829 - 814 pages
...С denotes the angle contained by the line С В and DB. 7. 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.... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...expressed, it is always the direct angle that is meant. XXXVII. 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... | |
 | Euclid - 1835 - 540 pages
...angle CHF is equal" to the angle CHG ; and they are adjacent angles ; but when a straight line standing on a straight line makes the adjacent angles equal to one another, each of them is a right angle ; and the straight line which stands upon the other is called a perpendicular... | |
 | Mathematics - 1835 - 684 pages
...always denotes the angular point. 10. (Eue. i. det 10.) When a straight line standing; upon another straight line makes the adjacent angles equal to one another, each of them is called a right angle, and the straight line which stands upon the other is called a perpendicular... | |
 | John Playfair - Geometry - 1836 - 148 pages
...is equal (7. 1.) to the angle CHG, and they are adjacent angles ; but when a straight line, standing on a straight line, makes the adjacent angles equal to one another, each of them is a right angle, and the straight line which stands upon the other, is called a perpendicular... | |
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