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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. "
Elements of Geometry and Conic Sections - Page 10
by Elias Loomis - 1857 - 226 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 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 (7. def. 1.) Therefore the angle GDB is a right angle : But FDB is likewise...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...G*; therefore the angle ADG is equal (i. 8.) 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 (i. Def. 10.) : Therefore the angle GDB is a right angle: But FOB is likewise...
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A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Sir Henry Edward Landor Thuillier - Surveying - 1851 - 826 pages
...another, which meet together, but are not in the same straight line.* When a straight line standing upon another straight line makes the adjacent angles equal...called a right angle, and the straight line which stands upon the other is called a perpendicular to it If an angle is not right it is called oblique....
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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - Nautical astronomy - 1851 - 674 pages
...compass, cut off from the circle by the lines which form the angle. 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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The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852 - 48 pages
...as, the angle A or by three letters as, FAG. A 4 11. When a right line standing upon another right line makes the adjacent angles equal to one another, each of them is called a right angle ; and the right line which stands upon the other is called a perpendicular to it ; thus, if the line AB, standing...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...DE will fall nearer to AC or EF than BA does.] B 2 BOOK I. BOOK I. 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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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 178 pages
...'• therefore the angle adg is equal (i. 8) to the angle gd b' 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 (i. def. 10) : therefore the angle gdb is a right angle : but f db is likewise...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...expressed by a letter placed at that point : as the angle at E. 10. 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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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...therefore (I. 8.) 1. The angle ADG is equal 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 (I. Def. 10.); therefore 2. The angle GDB is a right angle: but FDB is...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...G. Therefore the angle ADG is equal (I. 8) to the angle GD B. But when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of these angles is a right angle (I. Def. 10). Therefore the angle GDB is a right angle. But FDB is likewise...
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