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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. "
Modern geometry [ed.] with an appendix by W.B. Jack - Page 18
by Richard Wormell - 1876
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Explanatory Mensuration

Alfred Hiley - 1879 - 228 pages
...sides AB, 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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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...and CF common, therefore (I.4) the angles DCF, ECF, opposite the equal sides, are equal. But when a straight line standing on another straight line makes the adjacent angles equal to each other, each of them is a right angle. (Def. 8.) Therefore CF is at right angles to AB. ANALYSIS....
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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
...centre G ; [I. Definition 15. therefore the angle ADG is equal to the angle BDG. [I. 8. But when a straight line, standing on another straight line,...the adjacent angles equal to one another, each of the angles is called a right angle ; [I. Definition 10. therefore the angle BDG is a right angle. But...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 150 pages
...being an equilateral triangle). (/) .-. the angle DCF is equal to the angle ECF. and Syllogism. When a straight line, standing on another straight line, makes the adjacent angles equal, each of the angles is called a right angle (Euc. Def. 10). The straight line FC standing on the straight...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...inverted commas, as being Dr. Simson's addition ; it is very necessary to be remembered. X. When a straight line standing on another straight line makes...of these angles is called a right angle ; and the straignt line which stands on '..he other is called a perpendicular to it. By borrowing the terms vertical...
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A course of geometrical drawing

William Schofield Binns - 1881 - 214 pages
...straight lines to one another, meeting or cutting each other in a point, as (10) "When a straight lino 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

George Albert Wentworth - 1881 - 266 pages
...Thus if the straight line AB meet the straight line С D so that the adjacent angles ABC and AB D are equal to one another, each of these angles is called a right angle. 26. DEF. Perpendicular Lines are lines which make a right angle with each other. 27. DEF. An Acute...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...right angle, called acute (Lat. acutus, 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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The Competitor, Volumes 3-4

1883 - 248 pages
...same point. This point is called the vertex of the angle. When one straight line standing on another makes the adjacent angles equal to one another, each of these angles is called a riylit angle. A triangle is a figure contained by three straight lines. A rectangle is a quadrilateral...
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The Imperial dictionary, on the basis of Webster's English dictionary, Volume 1

John Ogilvie - 1882 - 724 pages
...as AB (flg. 3), standing ou another straight line c D, makes the two Kg- 5Fig. 4. angles ABC and ABD equal to one another, each of these angles is called a right angle. An acute angle is that which is less than a right angle, as EB c. An obtum angle Is that which is greater...
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