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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: With Notes, an ... - Pagina 73
door Isaac Todhunter - 1880 - 400 pagina’s
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 pagina’s
...[Definition 24. therefore the angle DCF is equal to the angle ECF; [I. 8. and they are adjacent angles. But when a straight line, standing on another straight...another, each of the angles is called a right angle ; ' [Definition 10. therefore each of the angles DCF, ECF is a right angle. Wherefore/row the given...
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Descriptive Astronomy

George Frederick Chambers - 1867 - 888 pagina’s
...lines to each other in the same plane gives rise to a plant rectilineal angle, or simply an angle. When a straight line, standing on another straight line, makes the adjacent angles equal to each other, each of those angles is called a right angle; but if the adjacent angles are not equal...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pagina’s
...(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 - 1868 - 172 pagina’s
...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 - 1869 - 312 pagina’s
...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 pagina’s
...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 ..., Deel 1

Euclides - 1871 - 136 pagina’s
...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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On Intelligence

Hippolyte Taine - 1871 - 606 pagina’s
...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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Explanatory mensuration for the use of schools

Alfred Hiley - 1871 - 184 pagina’s
...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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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 pagina’s
...(def. 11) therefore the angle EGC is equal to the angle FGC ; (prop. 8) and they are adjacent angles ; but "when a straight line standing on another straight line makes the adjacent augles equal to one another, the straight line which stands on the other is perpendicular to it." (def....
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