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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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Trigonometry - 1819 - 333 pages
...is equal (8. 1.) to the angle CHG ; and thpy 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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...Therefore the angle ADG is equal (8. 1.) to the angle GDB : 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 : (Ю. Def. 1 .) Therefore the angle GDB is a right angle. But FDB is likewise...
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Euclid's Elements of geometry, transl. To which are added ..., Books 1-6

Euclides - 1826
...are right lines, it is called a rectilineal angle. 10. When a right line standing on another right line, makes the adjacent angles equal to one another, each of the equal angles is a right angle, and the right Tine standing on the other is called a perpendicular. 11. An obtuse angle...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid, Phillips - 1826 - 180 pages
...are right lines, it is called a rectilineal angle. 10. When a right line standing on another right line, makes the adjacent angles equal to one another, each of the equal angles is a right angle, and the right line standing on the other is called a perpendicular. 11. An obtuse angle...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...therefore the angle AFE is equal * to the angle BFE: 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; therefore each of the angles AFE, BFE, *1oDef. 1. is a right angle: wherefore...
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The London encyclopaedia: or, Universal dictionary of science ..., Volume 10

Thomas Curtis - Encyclopedias and dictionaries - 1829
...С denotes the angle contained by the line С В and DB. 7. 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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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...expressed, it is always the direct angle that is meant. XXXVII. 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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, John Davidson - 1835 - 513 pages
...angle CHF is equal" 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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Library of useful knowledge: Mathematics ...

Society for the diffusion of useful knowledge (Great Britain) - Mathematics - 1835
...always denotes the angular point. 10. (Eue. i. det 10.) 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 Element of Geometry

John Playfair - Trigonometry - 1836 - 114 pages
...is equal (7. 1.) 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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