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" 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. "
Explanatory Mensuration - Page 2
by Alfred Hiley - 1879 - 188 pages
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...ex' pressed by a letter placed at that point; as the angle at E.' X. 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 ...

Euclides - 1816 - 588 pages
...because they are drawn from the centre G*: Therefore the angle ADG is equal0 to the angle GDB : But when a straight line standing upon another straight...the adjacent angles equal to one another, each of the angles is a right angle d: Therefore the angle GDB is a right angle: MoDef. ' But FDB is likewise...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...they are radii of the same circle, : therefore the angle ADG is equal (8. 1.) to the angle GDB : Bat when a straight line standing upon another straight...the adjacent angles equal to one another, each of the angles is a right angle (7. def. 1.). Therefore the angle GDB is a right angle: But FDB is likewise...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...expressed by a letter placed at that point ; as the angle at E.' VII. 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 Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...they are drawn from the centre G :* Therefore the angle ADG is equal (8. 1.) to the angle GDB : But when a straight line standing upon another straight...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 pages
...to the angle CHE, b and they are adjacent angles. But when a right line standing upon another right line makes the adjacent angles equal to one another, each of them is a right angle, and the right line standing upon the other is called a perpendiFor because GH is equal...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...to the angle cHE,b and they are adjacent angles. But when a right line standing upon another right line makes the adjacent angles equal to one another, each of them is a right angle, and the right Hue standing upon the other is called a perpendi«ic.Def.i. cular;0 wherefore...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...because they are drawn from the centre GJ: there's 1. fore the angle ADG is equal* to the angle GDB: but when a straight line standing upon another straight...line makes the adjacent angles equal to one another, •lODef.1. each of the angles is a * right angle; therefore the t Constr. angle GDB is a right angle:...
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A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., Volume 10

Thomas Curtis - Aeronautics - 1829 - 814 pages
...or D В 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, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...cuse the middle letter, as A, always denotes the angular point. lu. (Eue. i. def. 10.) ЛТпеп а straight line standing upon another straight line makes the adjacent angles equal to one anolher, each of th тп is called a right angle, and the straight line which stands upon the other...
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