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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. "
The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ... - الصفحة 10
بواسطة Alexander Ingram - 1799 - عدد الصفحات: 351
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - عدد الصفحات: 390
...lines meet is called the vertex of the angle. 8. 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, and is said to be at right...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...letter placed at that point; as the angle at E.VIII. 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 lines are said to be perpendicular to each other. IX. An obtuse angle is that which is greater...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841
...is equal* to the £"" * 3. 1. 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: *iODef. therefore the angle GDB is a right angle : but FDB *' is likewise a right angle;...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...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 (lO.Def. 1.); therefore the angle GDB is a right angle : but FD в is likewise a right...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - عدد الصفحات: 317
...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 (7. def. 1.) Therefore the angle GDB is a right angle: But FDB is likewise a right angle:...
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A course of practical geometry for mechanics

William Pease - 1843 - عدد الصفحات: 68
...the intersection of two of its great circles. 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 to it. Beginners are apt to suppose...
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Lectures on the Principles of Demonstrative Mathematics

Philip Kelland - 1843 - عدد الصفحات: 147
...centre is the angular point, as trigonometers often make it. 7. When a straight line standing on another 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. By looking over the propositions...
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A system of practical mathematics; being no.xvi. of a new series of school-books

1845
...called simply the »ngle at E, PLANE GEOMETRY. 9. 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 strnight line which stands on the other is called a perpendicular to it. 10. An obtuse angle is that...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - عدد الصفحات: 199
...ADGisequalJ to the angle GDB : but ~ ^J£^.." t i. .. 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 ||; therefore I! 10. Def the angle GDB is a right angle : But FDB is likewise a§ right...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Robert Potts - 1845
...angle ADG is equal to the angle GDB: (i. 8.) 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; (i. def. 10.) therefore the angle GDB is a right angle : but FDB is likewise a right...
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