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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. "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Page 73
by Euclid, Isaac Todhunter - 1867 - 400 pages
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...§ II is Def. to the angle CHG; 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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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...base EF— therefore (1. 8) the angle DCF is equal to the angle ECF ; and they are adjacent angles : But, when a straight line, standing on another straight...the adjacent angles equal to one another, each of these angles is called a right angle (Def. 10) ; therefore each of the angles DCF, ECF is a right angle...
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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
...equal (8. 1.) to the angle CHG ; and they are adjacent angles ; now 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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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...of the lines, by the meeting of which they are formed. See the Observation after Definition 18. 10. When a straight line, standing on another straight line, makes the adjacent an. gles equal to one another, each of the angles is called a right angle; and the straight line which...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...of two straight lines to one another, which meet together, but are not in the same straight line. X. When a straight line standing on another straight line, makes the adjacent angles equal to each other, each of these angles is called a right angle ; and the straight line which stands on the...
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Lessons on the delineation of form

Charles Richson - 1848 - 98 pages
...two straight lines to one another, which meet together, but are not in the same straight line." 2. "When a straight line standing on another straight line makes the adjacent angles equal to each other, each of these angles is called a right angle; and the straight line which stands on the...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...the angle ECD is the difference between the two angles BCD, BCE. 10. When a straight line, meeting another straight line, makes the adjacent angles equal to one another, each of them is called a right angle, and the straight line which meets the other is called a perpendicular...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...equal (i. 8.) to the angle CHG; 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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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - Nautical astronomy - 1851 - 674 pages
...points and quarter-points of the compass, cut off from the circle by the lines which form the angle. When a straight line standing on another straight...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 : thus the line AC...
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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 to one another, each of them is called a right angle, and the straight line which stands upon the other is called a perpendicular...
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