 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.  Elements of Geometry and Conic Sections - Page 10by Elias Loomis - 1857 - 226 pagesFull view - About this book
 | Pierce Morton - Geometry - 1830 - 584 pages
...the dihedral angle CABE. 5. When one plane standing upon another plane makes the adjacent dihedral angles equal to one another, each of them is called a right dihedral angle ; and the plane which stands upon the other is said to be perpendicular (or at right... | |
 | John Playfair - Euclid's Elements - 1832 - 358 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 /• jii • • i j_ 1 / rr J f* i \ of the angles is a right angle (7. def. 1.) Therefore the aniile... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...not 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... | |
 | Euclides - 1834 - 518 pages
...base EB ; 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 is a right angle : wherefore the straight line... | |
 | Euclid - 1835 - 540 pages
...centre G * : Therefore the angle ADG is equal0 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 :d Therefore the angle GDB is a right angle: But FDB is likewise a right... | |
 | Mathematics - 1835 - 684 pages
...the dihedral angle CABE. 5. When one plane standing upon another plane makes the adjacent dihedral angles equal to one another, each of them is called a right dihedral angle ; and the plane which stands upon the other is said to be perpendicular (or at right... | |
 | Mathematics - 1836 - 488 pages
...another, which meet together but are not in the same straight line. 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... | |
 | John Playfair - Geometry - 1836 - 148 pages
...therefore the angle ADG is equal (7. 1.) to the angle BDG ; 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 (Def. 27. 1.); therefore BDG is a right angle ; but BDF is likewise a right... | |
 | Charles Reiner - Geometry - 1837 - 254 pages
...there are three plane angles about each of its solid angles. 3 — When one line. standing on another line makes the adjacent angles equal to one another, each of them is called a right angle. 4. — An angle which is greater than a right angle is called an obtuse angle. 5.— An angle which... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...which the straight lines meet is called the vertex of the angle. 8. 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... | |
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