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" 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 181
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...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 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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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...therefore the angle A FE is equal to the angle BFE; (I. 8.) 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; (i. def. 10.) therefore each of the angles AFE, BFE, is a right angle : wherefore...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...is equal to the angle CHG; (i. 8) 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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Euclid's Elements of geometry: chiefly from the text of Dr. Simson ...

Robert Potts - Mathematics - 1865 - 504 pages
...therefore the angle AFE is equal to the angle BFE; (i. 8.) 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 ; (i. def. 10.) therefore each of the angles AFE, BFE, is a right angle : wherefore...
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An English primer; compiled under the superintendence of E.C. Lowe

Edward Clarke Lowe - 1866
...meet together, but are not in the same straight line. 10. When a straight line standing on another straight line makes the adjacent angles equal to one another, each of these angles is called a right angle; and the straight line which stands on the other is & perpendicular...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...therefore the angle AFE is equal to the angle BFE. [I. 8. But 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 ; [I. Definition 10. therefore each of the angles AFE, BFE is a right...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Mathematics - 1868 - 410 pages
...therefore the angle AFE is equal to the angle BFE; (I. 8.) 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; (I. def. 10.) therefore each of the angles AFE, BFE, is a right angle : wherefore...
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Modern Methods in Elementary Geometry

Edward Morris Reynolds - Geometry - 1868 - 112 pages
...angle stands alone one letter only is often used, as A. When one straight line standing on another straight line makes the adjacent angles equal to one another, each of these angles is called a right angle; and the straight line which stands on the other is said to be...
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Mensuration for beginners

Isaac Todhunter - 1869
...another angle, or four times another angle ; and so on. 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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Explanatory mensuration for the use of schools

Alfred Hiley - 1871
...AC, but upon the extent or opening between the lines. XI. When a straight line standing upon another straight line makes the adjacent angles equal to one another, each of them is called a right A angle ; and the straight line standing upon the other is called a perpendicular...
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