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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. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Page 51
by Thomas Perronet Thompson - 1833 - 150 pages
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...equal (8. 1.) to the angle CHG ; and thry are adjacent angles ; now when a straight lina 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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 pages
...adjacent angles equal to one another, each of (lie angles is called и right angle; and the ira glu line which stands on the other is called a perpendicular to it. 11. An obtuse angle is that which is g cater than a right an^le. 12. Ли acute angle is that which...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...angle at ' a point, it may be expressed by the letter placed at that point; ' as the angle at E.' X. When a straight line standing on another straight...which stands on the other is called a perpendicular to „« —__ it. XI. An obtuse angle is that which is greater than a right angle. XII. An acute angle...
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Elementary Illustrations of the Celestial Mechanics of Laplace: Part the ...

Pierre Simon marquis de Laplace, Thomas Young - Capillarity - 1821 - 402 pages
...described by three letters placed near the lilies, the middle letter at the angular point % 64. DEFINITION. When a straight line standing on another straight line makes the adjacent angles equal, they are called right angles. 65. DEFINITION. A straight line between two right angles is called a...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 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 a right...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 pages
...When a straight line AB, standing on another straight line CD, makes the adjacent angles ABC and ABD equal to one another, each of the angles is called...stands on the other, is called a perpendicular to it. •D OF GEOMETRY. with another CD, upon one side of it, are eitlier two right angles, or are, together,...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 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....
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 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 Tine standing on the other is called a perpendicular....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...: therefore the angle CHF is equal * to the angle * 8. 1. CHG ; and they 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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A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., Volume 10

Thomas Curtis - Aeronautics - 1829 - 814 pages
...that form the angle, thus С ü D or D В С denotes the angle contained by the line С В and DB. 7. When a straight line standing on another straight...which stands on the other is called a PERPENDICULAR. Fig. 4. 8. An OBTUSE ANGLE is that which is greater than a right angle. Fig. 5. 9. An ACUTE ANGLE is...
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