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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 - Страница 167
написао/ла Euclid - 1908
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 страница
...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 - 1825 - 1046 страница
...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, algebraic ...

Euclides - 1826 - 226 страница
...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 - 1826 - 234 страница
...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 - 1827 - 546 страница
...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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A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., Том 10

Thomas Curtis - 1829 - 814 страница
...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 - 1833 - 168 страница
...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 - 1835 - 540 страница
...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: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 страница
...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 - 1836 - 148 страница
...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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