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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's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...(def. 15.) therefore the angle FHC is equal to the angle GHC; (I. 8.) and these are adjacent angles. But when a straight line standing on another straight...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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Modern Methods in Elementary Geometry

E. M. Reynolds - Geometry - 1868 - 172 pages
...placed between the other two. When an angle stands alone one letter only is often used, as A. When one straight 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...
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Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - Measurement - 1869 - 312 pages
...statement that a certain angle is three times another angle, or four times another angle ; and so on. 8. 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, in the figure,...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 pages
...360th part of the circumference of a circle, and consequently varies with the size of the circle. 10. 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, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...the definition. IX. When a straight line (as AS) meeting another straight line (as CD) makes the A adjacent angles equal to one another, each of the angles is called a RIGHT ANGLE; and each line is said to be a PEEPENDICULAB to the other. c X. An OBTUSE ANGLE is one which is greater...
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Explanatory mensuration for the use of schools

Alfred Hiley - 1871 - 184 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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On Intelligence

Hippolyte Taine - Knowledge - 1871 - 606 pages
...each of them perpendicular to a third line, denoting by the name perpendicular the straight line which standing on another straight line makes the adjacent angles equal to one another ; it is from this construction that all the properties of parallels must be deduced. — Now, what...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 302 pages
...the angle ECD is the difiei ence 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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...extension of the definition. IX. When a straight line (as AB) meeting another straight line (as CD) makes the adjacent angles equal to one another, each of the angles is called a EIGHT ANGLE; and each line is said to be a PER. _^_ PENDICULAR to the other. X. An OBTUSE ANGLE is...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pages
...straight line. NB In the figure subjoined B is an angle and is thus expressed : " Angle AB 0." A BC XVI. When a straight line standing on another straight...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 called a...
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