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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 First Six Books: Together with the Eleventh and Twelfth - Page 10
by Euclid - 1781 - 520 pages
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...by the letter at that point, as the angle 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. 1 1 . An obtuse angle is that...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...are adjacent angles. eHF^CHG But when a straight line, standing on another straight are "l""1line, 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 (Def. 10). Therefore, from...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...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 pages
...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 - Circle-squaring - 1874 - 207 pages
...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 - Geometry - 1876 - 446 pages
...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 pages
...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 pages
...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 pages
...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 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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