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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 - 1849 - 226 pages
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...15. 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...
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Relfe brothers' Euclid sheets, propositions 1-26, book 1

Euclides - 1884 - 94 pages
...the angle is equal to the angle ; and these are adjacent angles. But when a straight line standing on another 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 to it. Therefore...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...contained by the two sides equal to them of the other. Definition 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. COROLLARY TO PROPOSITION XI. By the help of this proposition...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 290 pages
...line. An angle is named from three or one letters, as ABC or B. X. 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...
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Mathematical Questions with Their Solutions: From the ..., Volumes 40-42

1884 - 434 pages
...capable of proof. The definition of a right angle is as follows : " When a straight bine 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 called a...
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The Weston school manual

Colin Arrott R. Browning - 1884 - 274 pages
...point. (4) When a straight line standing on another straight line makes the adjacent angles equal, each of them is called a Right Angle ; and the straight line standing on the other is called a Perpendicular, or said to be at right angles to it. (5) A Square...
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Mathematical Questions and Solutions, Volume 42

Mathematics - 1885 - 150 pages
...capable of proof. The definition of a right angle is as follows : " 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 called a...
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Elementary Physiography: An Introduction to the Study of Nature

John Thornton - Physical geography - 1888 - 266 pages
...— Euclid gives the following definition of a right 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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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 306 pages
...of, a plane rectilineal angle is always meant. 4. Perpendicular, — 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 lines are said to be perpendicular to each other....
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...method of Prop. 10 instead of it. See Note 2 on Prop. 9. DEF. 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 said to be...
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