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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. "
Pure mathematics - Page 103
by Edward Atkins - 1874
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...equal to tho angle BDG (I. 8). .•_. But when a straight line, standing on another straight ~z line, makes the adjacent angles equal to one another, each of the angles ia called a right angle (I. Def. 10). Suppose G the centre. Therefore the angle GDB is a right angle....
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Natural Philosophy for Beginners: With Numerous Examples, Part 1

Isaac Todhunter - Philosophy - 1877 - 452 pages
...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...stands on the other is called a perpendicular to it. Thus in the figure if the angle ABC is equal to the angle ABD each of them is a right angle, and AB...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...(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 (Dcf. 10); Hake CK = CD ami A DF.F cquihiteiul. '. DCF = '! F.Cf. 20 I>CF, f are Make i AI!E» L £1!A....
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 pages
...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 perpendicular to it. 10. A plane figure is that which is inclosed by one or more lines....
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pages
...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...stands on the other is called a perpendicular to it. XVII. An obtuse angle is that which is greater than a right angle. And an acute angle is that which...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878 - 398 pages
...straight line (as AB) meeting another straight line (as CD) makes the adjacent ^ angles (ABC and ABD) equal to one another, each of the angles is called a RIGHT ANGLE ; and each line is said to be a PERPENDICULAR to the other. X. An OBTUSE ANGLE is one which is greater than...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...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...stands on the other is called a perpendicular to it. 11. An obtuse angle is that which is greater than a right angle. la. An acute angle is that which is...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...line standing on another straight line makes the adjacent angles equal to each other, each of them is called a right angle, and the straight line which stands on the other is called a perpendicular. 9. An obtuse 1 angle is one that is greater than a right angle. 10. An acute * angle is one that is...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 pages
...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 upon the other is called a perpendicular to it (Def. 10). Therefore, from the given point C a perpendicular...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...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...the straight line •which stands on the other is -A. -0 .* said to be perpendicular to it. Thus the straight line CD is said to stand on the straight...
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