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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: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 2
av Robert Simson - 1781 - 466 sider
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 sider
...angle ECF [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 [Def. 10] ; therefore each of the angles DCF, ECF is a right angle. Therefore from the giveu point...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 sider
...cmgle 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 2. The angle GDB is a right angle ; but FDB is likewise a right...
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The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - 1874 - 207 sider
...circles ; that is, having a common center, as at F. 14. When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is a right angle, and the straight line which stands on the other is called a perpendicular to it; IKL...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 sider
...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 a right...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 sider
...is 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

Isaac Todhunter - 1877 - 442 sider
...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 to it. A Thus in the figure if the...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 sider
...angle ECP (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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878 - 398 sider
...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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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 sider
...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 to it. n. An obtuse angle is that...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 sider
...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 to be perpendicular to it. Thus the straight...
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