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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. "
The Elements of Euclid: With Dissertations Intended to Assist and Encourage ... - Page 15
by Euclid, James Williamson - 1781 - 309 pages
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...by the letter at that point, as the angle 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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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...angle CHG [I. 8.] ; and they are adjacent angles. 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, and the 'straight line which stands on the other is called a perpendicular...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...angle EOF (I. 8) ; And they are adjacent angles. But when a straight line, standing on another straight line, makes the adjacent angles equal to one another, each of the angles is callccl a. right angle (Def. 10) ; AD = Make CE = CD nnj A DBF equilatcral. * EC*' . ri(jht...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...angle ADG is equal to the angle GDB : (i. 8.) 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 FDB is likewise...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...by the letter at that point, as the angle K 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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Natural philosophy for beginners

Isaac Todhunter - 1877 - 442 pages
...into a more precise form in the following manner : 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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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 pages
...one letter 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 Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...angle A FE 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 A FE, BFE is a right...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...DEFINITION OF RIGHT ANGLES. JTigr.J. Euc. Def. io.) — 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 -A. -0 .* said...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...sharp). These are thus defined by Euclid : — 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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