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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 geometry; or, The first six books, with the eleventh and ... - Page 2
by Euclides - 1855
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870
...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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Explanatory mensuration for the use of schools

Alfred Hiley - 1871
...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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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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On Intelligence

Hippolyte Taine - Knowledge - 1871 - 542 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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The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - Circle-squaring - 1873 - 238 pages
...lines if produced would form two concentric circles ; *that is, having a common center, as at F. 14. When a straight line standing on another straight...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...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873
...line. An angle is named from three or one letters, as ABC or B. X. When a straight line standing oil 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...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...\Def.] ; therefore the angle CHF is equal to the angle CHG [I. 8.] ; and they are adjacent angles. But when a straight line standing on another straight...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...
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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
...lines if produced would form two concentric circles ; that is, having a common center, as at F. 14. When a straight line standing on another straight...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...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...one angle at any given point, it may be expressed by the letter at that point, as the angle E. 10. When a straight line standing on another straight...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...
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Plane and solid geometry, by G.E. Webster and A. Gardiner

George E. Webster - 1874 - 136 pages
...inclination of two straight lines whicli meet together, but do not form the same straight line. 4- When a straight line standing on another straight...line makes the adjacent angles equal to one another, thia line is said to be at right angles to the line on which it stands. A Right Angle equals 90,...
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