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" When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that on which it stands. "
Introduction and books 1,2 - Page 181
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...therefore the angle AFE is equal to the angle B FE : (i. 8.) but when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of them is a right angle ; (i. def. 10.) therefore each of the angles A FE, BFE, is a right angle : wherefore...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 317 pages
...is equal (8. 1.) to the angle CHG ; and they are adjacent angles ; now when a straight line standing on a straight line makes 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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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...equal to the angle ECF ; 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 these angles is called a right angle (Def. 10) ; therefore each of the angles DCF, ECF is a right angle...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849
...is equal (i. 8.) to the angle CHG; and they are adjacent angles; but when a straight line standing on a straight line makes 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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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 226 pages
...angle ECD is the difference 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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An epitome of navigation and nautical astronomy, with improved lunar tables ...

Mrs. Janet Taylor - Transportation - 1851
...cut off from the circle by the lines which form the angle. 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...
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A manual of surveying for India, detailing the mode of operations on the ...

Sir Henry Edward Landor Thuillier - Surveying - 1851 - 718 pages
...which meet together, but are not in the same straight line.* When a straight line standing upon another straight line makes the adjacent angles equal to one another, each of them is called a right angle, and the straight line which stands upon the other is called a perpendicular...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...CHF is equal d to the angle CHG; ' and they are adjacent angles; but when a straight line standing on a straight line makes 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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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - Mathematics - 1853
...is equal (8. i.) to the angle CHG ; and they are adjacent angles ; but when a straight line standing on a straight line makes 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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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853
...the angle chg ; and they are adjacent angles ; but when (10 def.) a straight line standing on another straight line makes 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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